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1. The point motion is given as . Show the formula of the magnitude and direction of velocity

A)

B)

C)

D)

E)

2. The point motion is given as . Determine an acceleration.

A)

B)

C)

D)

E)

3. What movement quantity of material point is?

A) Vectorial

B) Scalar

C) Dimensionless

D) Tonsorial

E) There is no such value

4. Show the second Newton law.

A) ,

B) ,

C)

D) ,

E)

5. Show the motion quantity of a mechanical system.

A) ,

B) ,

C) ,

D)

E)

6. Show the motion quantity moment of a system.

A) ,

B) ,

C)

D) ,

E)

7. Show the formula of the theorem of the mechanical system motion quantity change.

A) ,

B) ,

C) ,

D)

E)

8. Show the differential equation of progressive motion of the body.

A)

B) ,

C)

D) ,

E)

9. Show the coordinates of the center of parallel forces:

A) ; ;

B) ; ;

C) ; ;

D) ; ;

E) ; ;

10. Theoretical Mechanics is the science of :

A) Mechanical motion of objects

B) Electromagnetic field

C) Electric cars

D) Natural resources

E) Mathematical Physics

11. Force vector is defined by:

A) 3

B) 4

C) 6

D) 7

E) 5

12. Which statement is true for ?

A)

B)

C)

D)

E)

13. Find analytical equilibrium condition of arbitrary forces in 3D space

A)

B)

C)

D)

E)

14. Find analytical equilibrium condition of result forces in 3D space

A)

B)

C)

D)

E)

15. In which of the following shown moment vector?

A)

B)

C)

D)

E)

16. In which of the following shown Varignon΄s theorem?

A)

B)

C)

D)

E)

17. is the vector moment of force about the point of origin "O" and is an arbitrary arrow passing through the point "O". Depending on the conditions given above, which of the followings is correct ?

A)

B)

C)

D)

E)

18. Which of the followings is the geometric equilibrium condition of a system of coupled arbitrary points in space ?

A)

B)

C)

D)

E)

19. Which of the followings is the analytical equilibrium condition of system of coupled arbitrary points in space ?

A)

B)

C)

D)

E)

20. Show the equilibrium condition of system of coplanar forces

A)

B)

C)

D)

E)

21. Which of the followings is the equilibrium condition of system of arbitrary forces in space ?

A)

B)

C)

D)

E)

22. Which of the formulas given below is used to calculate the gravitational center of homogeneous bodies ?

A)

B)

C)

D)

E)

23. Which one of the following formulas is used to calculate the point of gravitational center of homogeneous objects ?

A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

26. From figure find velosity if .

A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

28. The motion of the point given smtx 3 ; smty 22 ; sant 1 . Find the velosity of the point

A) 5

B) 23

C) 34

D) 56

E) 69

29. The motion of the point given smex t 24 ; smey t 43 . Find the velosity of the point if 0t

A) sansmV 5

B) sansmV 8

C) sansmV 5,7

D) sansmV 7,8

E) sansmV 3,5

30. From figure find velosity in the poin B, if , ;.

A) 10

B) 29

C) 65

D) 67

E) 43

31. From figure find velosity in the poin B, if . ;.

A) 10

B) 45

C) 46

D) 31

E) 99

32. Show the motion of the point by coordinat method?

A) (t)f(t), zf(t), yfx 321

B) )(tfs

C) )(srr

D) )(rfs

E) )(trr

33. From figure find the acceleration of the beam if AB= m5,0 and 2/2 sanmWA and 2/3 sanmWB

A) 10

B) 45

C) 67

D) 99

E) 90

34. From figure find velosity in the point B,if angle velosity sanrad2

sansmA 8 and AB=3m.

A) 10

B) 12

C) 14

D) 15

E) 12. 6

35. Show the acceleration vector of the point?

A) 2

2

dtrdW

B) rW

C) dt

rdW

D) vW

E) dtdW

36. Find the normal companents of acceleration if the motion of the point given

A)

2VWn

B) Vwn

C) 2VWn

D) dtdVWn

E)

37. Find the tangent companents of acceleration if the motion of the point given

A) dtdVW

B) dt

SdW2

C) dtdrW

D) 2

2

dtrdW

E) dtdSW

38. Find the acceleration if the motion of the point given?

A)

B)

C)

D)

E) W=0

39. Find the normal and tangent companents of acceleration if the motion of the point given

A) dtdVW ;

2VWn

B) dt

SdW2

; Vwn

C) dtdrW ; 2

VWn

D) 2

2

dtrdW ;

dtdVWn

E) dtdSW ;

2VWn

40. Find the velosity if the motion of the point given?

A) 222zyx VVVV

B) 222yyx VWVV

C) 222 aSWV

D) 222zyx VWVV

E) 222zyx WWWV

41. Show the tangent acceleration vector of the point

A) dtdW

B) W

C)

2

W

D) W

E) 2

W

42. From figure find velosity in the poin B, if sansmVА 20 , smAB 10 ; smPA 40

.

A) 15

B) 23

C) 27

D) 29

E) 98

43. The system of forces are consist of the forces,which are located in a plane Oxy and parallel to the axis y . How many equlibrium condition is?

A) 2

B) 3

C) 4

D) 6

E) 5

44. Find the velosity of the figure?

A) BAAB VVV

B) BAAB WVV

C) BAAB WWV

D) BAAB WVW

E) WVV AB

45. From figure find velosity if

A)

B)

C)

D)

E) .

46. From figure find velosity if sansmA 20

A) sansmB 40

B) sansmB 50

C)

D)

E) .

47. Show the velosity of the point?

A) 2.2.2.

zyxv , vxxvcos.

,

vyyvcos.

,

vzzvcos.

B) 222 zyxv , vxxvcos

, vyyvcos

, vzzvcos

C) 2.2 xxv , .

x

xxvcos

D) 2.

2 yyv , .y

yyvcos

E) 2.2 zzv , .

z

zzvcos

48. Find the acceleration of the figure?

A) BAAB WWW

B) BAAB VWW

C) n

BABAB WWW T

D) BAAB WWW

E) BAAB WVW

49. Choose the equation of motion of the solid body,which is rotates around a fixed axis.

A) )(tf

B) )(tfS

C) )(tf

D) )(tfr

E) )(tfx


A) 45

B) 55

C) 78

D) 65

E) 90

51. The motion of the point given smtx sin8 ; smty cos8 . Find the normal

acceleration of the point?

A) 28 sansmWn

B) 21,8 sansmWn

C) 24,8 sansmWn

D) 22,8 sansmWn

E) 29,8 sansmWn

52. Show the acceleration of the point?

A) 222 vvw

B) 22

2 vvw

C) 222 vvw

D) 22

2 vvw

E) 22

vvw

53. Show the normal acceleration of the point?

A)

2vWn

B)

vWn

C)

vWn

D) 2vWn

E) vWn

54. The motion of the point given: smtx 2sin5 ; smty 2cos5 . Find the acceleration of the point?

A) 20

B) 78

C) 35

D) 90

E) 67,8

55. Find the velocity of any point of the plane figure.

A)

B)

C)

D)

E)

56. Find the acceleration of any point of the plane figure.

A)

B)

C)

D)

E)

57. We have given the position of the particle as: ; . Find the equation of trajectory.

A)

B)

C)

D)

E)

58. We have given the position of the particle as: ; . Find velocity if .

A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

60. We have given the position of the particle as: ; . Find normal acceleration.

A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

62. We have given the position of the particle as: ; . Find acceleration of the particle.

A)

B)

C)

D)

E)

63. From figure find velosity in the point B,if angle velosity sanrad2

sansmA 8 and AB=3m.

A) 10

B) 34

C) 78

D) 90,5

E) 90,2

64. If the rod OB rotates about the axis oy with the constant angular velocity . And the load B that located on the rod moves along this rod and

it’s law of the motion is x=4t. Find the velocity of the load B when x=1,5m.

A)

B)

C)

D)

E)

65. Platform rotates about the axis z, its law of rotation is . There is a straight line OA on this platform and the point M moves by the law

along OA. Find the koriolis acceleration of this point M at an instant

A)

B)

C)

D)

E)

66. The lenght of the circle is and its part is located on the first term of

the cartesian system. The coordinates of its edge points are: ; ; ; . Find coordinate of the gravity center of this part?

A) 7,78

B) 15,83

C) 29,54

D) 36,82

E) 98,91

67. If the point moves along the curve line and the radius of curviture is constant, find the motion of the point.

A) rotation motion

B) plane motion

C) transmission motion

D) linear motion

E) the point is in rest

68. If the law of the motion of the point is find the equation of the trajectory of this point.

A)

B)

C)

D)

E)

69. The point is in which motion when the tangential acceleration of this point is equal to zero?

A) Regular

B) Linear motion

C) unLinear motion

D) parallel motion

E) difficult motion

70. The point is in which motion when the tangential acceleration of this point is constant?

A) Regular variable

B) Linear motion

C) unLinear motion

D) parallel motion

E) difficult motion

71. If the rigid body rotates about a fixed axis and the vectors of the angular velocity and angular acceleration of this body have the opposite senses, find kind of the motion of this body.

A) Regular dimishing rotary motion.

B) Linear motion

C) unLinear motion

D) regular parallel motion

E) difficult motion

72. The locus of the positions of the instantaneous center of the velocity with respect to the moving reference system is a plane called . . . . . Find the word which must be instead of the dots.

A) motion centroid

B) Linear motion

C) unLinear motion

D) parallel motion

E) difficult motion

73. If the velocities of two any points of the plane figure are equal, find kind of the motion of this body.

A) Linear motion

B) Curvilinear motion

C) unLinear motion

D) parallel motion

E) difficult motion

74. If the normal acceleration of the particle is . Find kind of the motion of this body.

A) Curvilinear motion

B) Linear motion

C) unLinear motion

D) parallel motion

E) difficult motion

75. The law of the rotation of a rigid body about a fixed axis is: . Find angular velocity if,

A)

B)

C)

D)

E)

76. The law of the rotation of a rigid body about a fixed axis is: Find angular acceleration if

A)

B)

C)

D)

E)

77. The wheel of radius is in motion and its angular velocity is given by the law . Find the velocity and tangential acceleration of any point of the wheel, when

A)

B)

C)

D)

E)

78. A gear II of radius r 2 is set in rotation by the crank OA which is on the pulley of the gear I of radius r 1 The angular velocity of the crank is

. Find the angular velocity of the gear II if .

A)

B)

C)

D)

E)

79. Find the velocity of the slider B of the slider crank mechanism, when the angular velocity of the rod OA is and

A)

B)

C)

D)

E) .

80. The wheel raises the load A and the law of the motion is : . Find the angular velocity of the wheel if . The radius of the wheel .

A)

B)

C)

D)

E)

81. The wheel raises the load A and the law of the motion is : . Find the angular acceleration of the wheel if . The radius of the wheel

.

A)

B)

C)

D)

E)

82. From figure find velosity in the poin B, if

sansmVА 20 , smAB 10 ; smPA 40 .

A)

B)

C)

D)

E)

83. From figure find the center of gravity.

A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

87. The law of the rotation of a rigid body about a fixed axis is φ=2t3-2. Find velocity if t=2sec and the distance of the particle from the axe is R=3sm.

A) 72

B) 82

C) 83

D) 85

E) 92

88. The law of the rotation of a rigid body about a fixed axis is φ=2t3-2. Find acceleration if t=2sec and the distance of the particle from the axe is R=3sm.

A)

B) 85

C) 98

D)

E) 130

89. The law of the motion is S=3t2+1 and radius of the circle R=2m. Find velocity if t=1sec.

A) 6

B) 8

C) 10

D) 12

E) 14

90. The law of the motion is S=3t2+1 and radius of the circle R=2m. Find acceleration if t=1sec.

A)

B) 8

C) 9

D)

E) 13


A)

B)

C)

D)

E)

92. We have given the position of the particle as: ; . Find acceleration of the particle if t=1sec.

A) 4

B) 9

C) 6

D) 7

E) 8

93. We have given the position of the particle as: ; . Find velocity of the particle if t=1sec.

A) 4

B) 6

C) 7

D) 8

E) 9


A) 3y+2x-2=0

B) 4y+2x-2=0

C) 3y+5x-2=0

D) 6y+2x-2=0

E) 8y+2x-2=0


A) y=2x2

B) y=3x2

C) y=2x3

D) y=4x2

E) y=2x4


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

98. We have given the position of the particle as: ; .

Find the equation of trajectory.

A) x2-y2=1

B) x2-y2=3

C) 2x2-y2=1

D) x2-3y2=1

E) 4x2-y2=1

99. We have given the position of the particle as: ; . Find the law of the motion.

A) S=5t2

B) S=6t2

C) S=8t2

D) S=9t2

E) S=7t2


A) S=3t

B) S=6t2

C) S=8t

D) S=9t2

E) S=7t2


A) S=25t2

B) S=26t2

C) S=28t2

D) S=92t2

E) S=72t2

102. What is the first law of Dynamics ?

A) Law of innertia

B) Law of velocity

C) Law of acceleration

D) Law of weight

E) Law of force

103. What is the second law of dynamics ?

(F=force, m=mass, a=acceleration)

A) ;

B) ;

C) ;

D) ;

E)

104. What is the third law of dynamics ?

A) Law of the equiality of action and reaction

B) Law of equality of effects

C) Law of inequality of action and reaction

D) Law of equality of velocities

E) Law of equality of accelerations

105. What is the fourth law of dynamics ?

A) Law of disproportion of raections of forces

B) Law of dependence of reaction force on mass

C) Law of relation of reaction forces

D) Law of dependence of reaction forces on velocity

E) Law of independence of reaction forces from acceleration

106. Distinguish the differential equation of the displacement of a material point:

A)

B)

C)

D)

E)

107. Determine the main formula of dependent material point in dynamics.

A) ;

B) ;

C) ;

D) ;

E)

108. What is to be added on the line of force acting based on the Dalamber's principle (F) and bonding reaction force (R) to balance the movement of dependent material point at any instance?

A) force innertia

B) velocity

C) acceleration

D) weight

E) force

109. Methods expressing Dalamber's principles are named:

A) Kinemmatics method

B) Kinematics method

C) Statics method

D) Dynamics method

E) Dynamostatics method

110. Show the differential equation of movement of material point on a flat curved path.

(p-radius of curve at a particular point, m-mass, Ft and Fn-projection of force)

A)

B)

C) ;

D)

E)

111. What is the main formula of the relative motion of a material point in dynamics ?

(a-conversion acceleration, a-relative acceleration, a-korioli's acceleration, m-mass, F-force)

A)

B) ;

C) ;

D)

E) ;

112. What does the expression of (-mw) indicate in the main equation of the motion of a point in dynamics?

A) Korioli's acceleration and inertia

B) Force acting at the direction of korioli's acceleration

C) Acceleration and force

D) Acceleration and inertia

E) Inertia of the relative motion.

113. What kind of quantity velocity is ?

A) Vector quantity

B) Scalar quantity

C) Unitless

D) Algebraic expression

E) Complex expression

114. Which of the followings express the quantity of motion ?

A) ;

B) ,

C) ;

D) ;

E)

115. The following expression is the expression of :

A) The quantity of a systeem of mechanical motion

B) Motion impulse of a point

C) Quantity of motion of a point

D) Force/impulse

E) Forces applied on a system

116. The following expression is the expression of :

A) The projection of the quanitity of motion on axis X

B) Impulse of motion

C) Quantity of motion

D) The projection of motion

E) Force applied on a point

117. How the center of mass calculated if : M is the mass of the system, i is the mass of point, is the coordinate of center of mass if mi equals .

A)

B)

C)

D)

E)

118. What kind of quantity the impulse of force is ?

A) Vector quantity

B) Scalar quantity

C) Algebraic expression

D) Complex expression

E) Negative

119. Which of the following formulas express the impulse of force ?

A)

B) ;

C) 4

D) ;

E) ;

120. What is the expression of change of velocity where : F,R-are the substitutives of external forces.

A)

B)

C)

D)

E)

121. What is the law of preservation of velocity ?

A) When the sum of the appilied forces equals zero, the velocity of the system remains constant

B) When the sum of the applied forces is constant, the velocity of the system remains constant

C) When the weight of the system is constant, the velocity of the system is constant

D) When the acceleration of the system is constant, the velocity remains constant

E) When the acceleration of the system is linear, the velocity remains constant

122. Which of the followings is the expression of kinetic energy of a material point ?

A) ;

B) ;

C) ;

D) ;

E)

123. Which of the followings is the expression of variation of the kinetic energy of a material point ?

( Vo,V-Initial and final velocities, A-Work done through displacement )

A)

B)

C)

D)

E)

124. Which of the followings is the expression of kinetic energy of i-number of material points ?

A) ;

B) ;

C) ;

D) ;

E)

125. What is the equation of kinetic energy of an object moving on a straight-parallel path ?

A)

B)

C)

D)

E)

126. What is the equation of momentum of acceleration on "Z" axis ?

( -mass, -distance to z axis )

A) ;

B) ;

C) ;

D) ;

E)


( -coordinates )

A) ;

B) ;

C) ;

D) ;

E)

128. What is the momentum of acceleration of an object with respect to the origin of the coordinate system ?

( r-distance between the object and the origin )

A) ;

B) ;

C) ;

D) ;

E)

129. If the acceleration momentum of the object, with respect to z axis passing through the gravitational center of the object that has the mass "m", then what is the acceleration momentum for a parallel z' axis which is away from z axis ?

A)

B) ;

C) ;

D) ;

E) ;

130. What does "a" represent in the equation of the motion of pendulum

?

A) distance to center of gravity from rotation axis

B) force

C) velocity

D) acceleration

E) gravity

131. What is the basic expression of work done by force ?

A) ,

B) ,

C) ,

D) rdFdA ,

E)

132. What is the expression of power ?

A) ,

B) ,

C) ,

D) ,

E)

133. What is the expression of the oscillation of a point ?

A)

B)

C)

D)

E)

134. What does "a" represent in the equation of damped oscillation ?

A) maximum amplitude

B) minimum amplitude

C) velocity

D) acceleration

E) gravity

135. What does , represent in the equation of the gravitational center of

motion of a system ?

A) The Acceleration of gravitational center of system

B) Smallest acceleration of the system

C) Velocity of the gravitational center

D) Acceleration of any point in system

E) Acceleration of the symmetric center of the system

136. What is "a material point"?

A) The material body which sizes can be neglected in Conditions of the given problem. B) Material body with small length.

C) Material body with small mass

D) Material body with small diameter

E) Material body with small measurements and mass

137. What is perfectly rigid body?A) A body with fixed distance between 2 particles irrespective of the forces acting;

B) Body with small absolute deformation

C) Body with small deformation

D) Body with small relative deformation

E) Body with small relative and absolute deformation

138. External forces by the nature of application can be:

A) Concentrated and distributed

B) temporary

C) constant

D) Attached at an angle

E) attached perpendicularly

139. What is the magnitude of the force?

A) Vector

B) Scalar

C) Absolute

D) physical

E) Natural

140. Which force system is called balanced?

A) The system which is not changing a condition of rest or movement of a body

B) System of forces with equal values

C) . System of forces with equal moments

D) System of forces with equal values and moments

E) System of forces that keeps constant deformation of a body. 141. In what case absolutely rigid body which is under the influence of two forces, is in a rest condition? A) If these forces are equal on the module, directed along one straight line in opposite sidesB) If forces are equal.

C) If these forces are equal on the module, are directed along one straight line in one side.

D) If these forces are parallel

E) If the projection of this forces on any axis equal to zero

142. When added to a system of forces acting on the body, a balanced system of forces?

A) Action of system of forces on a body will not changeB) Speed of a body will changeC) The rest condition will changeD) The position of the body will change

E) Speed of a body will increase

143. What will be, if a point of application of force transfer along an action line? A) The condition of the body will not change

B) The position of the body will change

C) Depending on the value of force the position of the body can change

D) Depending on the sizes of a body its position can change

E) Depending on a point the position of the body can change144. How two bodies operate against each other?A) Operates with equal on the module, and opposite directed along one line forcesB) Depends on the mass of the bodiesC) Depends on the velocity bodiesD) The body with the big weight operates with the big force on other bodyE) Operates with equal on the module and equally directed along one straight line forces145. What is called connection?A) The bodies limiting moving of the given body in spaceB) The bodies bound to the given body C) The bodies transferring movement of a body to other bodyD) The body connecting other two bodiesE) The body connecting several bodies146. On what line the reaction of communication is directed on pic. ?A) 3rd lineB) 1st lineC) 2nd lineD) 4th lineE) 5th line147. On what line the reaction of communication is directed on pic. ?A) on 4th line

B) on 1st line

C) on 2nd line

D) on 3rd line

E) on 5th line

148. What expression defines the main vector of converging system of forces?

A)

B) ,

C) ,

D) ,

E) ,

149. The free rigid body is in balance under the influence of three not parallel flat forces. Whether lines of actions of these forces are crossed?

A) Crossing

B) Not crossing

C) Can cross

D) Crossing, if moduls of these forces are equal

E) Not crossing, if moduls of these forces not equal

150. Whether if lines of action of forces enclosed on a body are crossed in one point that there is a body in balance A) Can be in balance

B) Yes

C) No

D) Yes if the modul of forces are equal

E) Yes if modul of forces aren't equal

151. How the module of the main vector of system of forces through projections of these forces is defined? A) ,

B) ,

C) ,

D) ,

E)

152. If projections of the main vector and the module of the main vector of system of forces are known ,then find the directing cosines of the main vector?

A) ,

B) ,

C)

D)

E)

153. To specify the conditions of balance of spatial system of converging forces.

A)

B) ,

C) ,

D) ,

E) ,

154. In point force is applied , in point force is applied. These forces are parallel and directed to one side. How the point of application С divides the distance resultant of these forces.

A) ,

B) ,

C) ,

D) ,

E) .

155. Where the vector of the moment of pair forces is directed?

A) Perpendicularly planes of forces so, that if to look from its end of steam rotates a body against an hour hand course .

B) parallel to the forces

C) Perpendicular to the forces

D) In direction of one of pair of forces

E) parallel to plain of forces

156. To what is equal vector of moment of pair of forces applied in a point and applied in a point ?

A) ,

B) ,

C) ,

D) ,

E)

157. In how many ways the point is moves?

A) three

B) two

C) four

D) five

E) one

158. What you must known if the point given in natural way?

A) The motion trajectory, the trajectory equation of motion, displacement, and mark the beginning

B) The motion trajectory,

C) The equation of motion for the trajectory,

D) Mark the beginning of motion,

E) Motion Trajectory, and mark the beginning of displacement

159. What you must have known when the motion of point is given by the coordinate?

A)

B)

C)

D)

E)

160. What you must have known when the motion of point is given by the vectors?

A) ,

B)

C)

D)

E)

161. The point motion is given by the vector way. Find velosity.

A)

B)

C)

D)

E)

162. The point motion is given by the vector way. Find acceleration.

A)

B)

C)

D)

E)

163. The point motion is given by the vector way. Find projection of velocity.

A)

B) ;

C)

D)

E)

164. The point motion is given by the vector way. Find projection of acceleration.

A) ;

B) ;

C) ;

D) dtzdw

dtydw

dtxdw zyx ;; ;

E)

165. Find the directions of acceleration.

A)

B)

C)

D)

E)

166. What is "dm" in the following formula ?

A) elementary mass

B) elementary force

C) elementary stress

D) elementary strain

E) elementary vector

167. Find the position of the center of gravity for the rigid body:

A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

170. Find the coordinates of center of gravity for the system of particles.

A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

176. The fraction’s numerators that define the coordinates of the center of gravity are called . . . . . .

A) statically moments

B) moment

C) force

D) mass

E) stress

177. Find the statically moments with respect to the reference planes.

A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

183. The statically moment of a system of particles may be calculated as the product between the total mass of the system. Which theorem is it?

A) statically moment’s theorem

B) moment’s theorem

C) force’s theorem

D) mass’s theorem

E) stress’s theorem

184. About what deals the part of Theoretical mechanics kinematics?

A) study of the mechanical motion

B) study of the force

C) study of the moment

D) study of the stress

E) study of the mass

185. Which of variant is the reference system in Theoretical mechanics?

A) cartesian system

B) force”s system

C) motion’s system

D) velosity’s system

E) acceleration’s system


A) cylindrical system

B) force”s system





A) spherical system

B) force”s system





A) frenet’s system

B) force”s system




189. How many types of motion you know?

A) 2

B) 3

C) 4

D) 5

E) 6

190. Which of variant is the type of motion ?

A) absolute motion

B) force”s motion

C) system’s motion

D) velosity’s motion

E) acceleration’s motion

191. Which of variant is the type of motion ?

A) relative motion

B) force”s motion

C) system’s motion

D) velosity’s motion

E) acceleration’s motion

192. If the particle is in motion, how will be position vector?

A)

B)

C)

D)

E)

193. If you want to express the position of the particle in scalar way how it wil be?

A)

B)

C)

D)

E)

194. Which of variants is the relation between the vector and the scalar expression of the potion?

A)

B)

C)

D)

E)

195. Which of variants is express instantaneous velocity?

A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

198. How is called this vector: ?

A) instantaneous velocity

B) instantaneous acceleration

C) instantaneous force

D) instantaneous mass

E) instantaneous stress














A) average velocity





202. Which of variants is express average velocity?

A)

B)

C)

D)

E)

203. Which of variants is express average acceleration?

A)

B)

C)

D)

E)


A) average acceleration

B) instantaneous velosity




205. Which of variants is express instantaneous acceleration?

A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

208. The law of the rotation of a rigid body about a fixed axis is φ=2t3-2. Find angular velocity if t=2sec and the distance of the particle from the axe is R=3sm.

A) 24

B) 82

C) 83

D) 85

E) 92


A) 36

B) 82

C) 83

D) 85

E) 92

210. The law of the rotation of a rigid body about a fixed axis is φ=2t3-2. Find angular acceleration if t=2sec and the distance of the particle from the axe is R=3sm.

A) 24

B) 82

C) 83

D) 85

E) 92


A) 36

B) 82

C) 83

D) 85

E) 92


A) 8

B) 18

C) 10

D) 12

E) 14


A) 12

B) 18

C) 30

D) 22

E) 24

214. The law of the motion is S=3t2+1 and radius of the circle R=2m. Find normal acceleration if t=1sec.

A) 18

B) 28

C) 20

D) 22

E) 24

215. The law of the motion is S=3t2+1 and radius of the circle R=2m. Find tangetial acceleration if t=1sec.

A) 6

B) 28

C) 20

D) 22

E) 24


A) 50

B) 98

C) 60

D) 62

E) 64


A) 10

B) 28

C) 20

D) 22

E) 24

218. How will be equation of the motion in the coordinate system ?

A) ;

B) ;

C)

D) ;

E)

219. How will be velocity of the point M ?

A) ;

B) ;

C) ;

D)

E)

220. How will be acceleration of the point M ?

A)

B) ;

C) ;

D) ;

E)

221. What is instantaneous velocity center of the point?

A) The point where velocity always equal zero

B) The point where acceleration always zero

C) The point where velocity always equal two

D) The point where force always zero

E) The point where force always equal two

222. What is the point O in the following figure?

A) instantaneous velocity center

B) elementary force




223. What is in the following formula ?

A) unit vector of the trajectory

B) elementary force




224. Show the formul of acceleration if the motion of the point is given in natural way?.

A) ;

B) ;

C) ;

D) ;

E)

225. What does ρ represent in the following formula ?

A) The radius of trajectory in following point





226. What does represent in the formul of acceleration ?

A) Tangential acceleration vector





227. Show the formul of acceleration?

A)

B)

C)

D) 4

E)

228. Show the formul of acceleration if the motion of the point is linear?

A)

B)

C)

D)

E)

229. Show the formul of angular velocity ?

A)

B)

C)

D)

E)

230. Show the formul of angular acceleration?

A) ;

B) ;

C) ;

D) ;

E)

231. Show the formul of tangetial acceleration?

A) ;

B) ;

C) ;

D) ;

E)

232. Show the formul of normal acceleration?

A)

B) ;

C) ;

D) ;

E)

233. Find the velocity of the curvlinear motion at the instant t

A)

B) 4

C) 4

D)

E)

234. If the rigid body is in transmission motion, which formula is correct?

A) ;

B) ;

C)

D) ;

E)

235. Find the rotation angle in the constant acceleration rotation motion?

A) ;

B) ;

C) ;

D) ;

E) ;

236. The position vector of the rigid body that is in rotation motion with respect to anu point that located on the rotation axis is , the angular velocity of this body . Find the vector of any point of this body?

A) ;

B) ;

C) ;

D) ;

E)

237. Find the absolute velocity

A) ;

B) ;

C) ;

D) ;

E)

238. Find the absolute acceleration

A)

B) ;

C) ;

D) ;

E) ;

239. Find the vector of the koriolis acceleration

A) ;

B) ;

C) ;

D) ;

E)

240. Find the magnitude of the koriolis acceleration

A) ;

B) ;

C) ;

D) ;

E)

241. Find the magnitude of the koriolis acceleration in the plane motion

A) ;

B) ;

C) ;

D) 4

E)

242. Along which line the Koriolis acceleration directed?

A) the third line;

B) the first line;;

C) the second line;

D) the fourth line

E) the fifth line;


A)

B)

C)

D)

E)

244. The particle with the mass 4kg moves by the velocity 2 m/sec. Find the kinetic enerjy of this particle.

A) 8 coul

B) 17 coul

C) 16 coul

D) 14 coul

E) 16 coul

245. Two same body are in rest with respect to one another without external forces. One of them begin to motion under the internal force. What does happen with the other body?

A) it moves the opposite direction with respect to the first body

B) it keeps its position

C) it move along the rectilinear line

D) it moves together with the first body

E) it is in rest

246. What does kinetik energy equal in translation motion?

A) to the semy product with the mass and its velocity

B) to the product with the sum of the mass of its particles and its velosity

C) to the product with its mass and velocity of its center of mass

D) to the product with the magnutade of the force and velocity of the application point of this force

E) to the product with the mass of the body and its angular velocity

247. Find the inersial force of the body that mass is 1 kg and moves along the circle radius 0,5 m

A) 2

B) 3

C) 6

D) 5

E) 10

248. The body moves under the force that magnitude is equal to 500N. If the velocity of this body is 0,2м/s, find the power which used for this motion.

A) 100wt;

B) 200wt;

C) 500wt;

D) 5000wt

E) 250wt.

249. The mass of the body is 1кg and law of the motion is . Find the projection of the force that acts to this

body.

A)

B)

C)

D)

E)

250. The law of the motion of the particle is . Find the projection of the acceleration of this point.

A)

B)

C)

D)

E)

251. The law of the motion of the particle is . Find the projection of the velocity of this point.

A)

B)

C)

D)

E)

252. The law of the motion of the particle is . Find the velocity of this particle

A) 16

B) 23

C) 37

D) 100

E) 234


A) ;

B) ;

C) ;

D) ;

E)


A) ;

B) ;

C) ;

D) ;

E)


A) ;

B) ;

C) ;

D)

E)


A)

B)

C)

D)

E)


A) ;

B) ;

C) ;

D) ;

E)

258. Find the resultant force of the force system.

A) R=0;

B) R=4;

C) R=5;

D) R=6;

E) R=7

259. Find the stretch force of the rod BC.

A) 200

B) 250N;

C) 300N;

D) 500N;

E) 350N

260. The projections of the force on the Cartisian reference system are Find the magnitude and direction of this force.

A)

B)

C)

D)

E)

261. Expression of the force power is.

A) ,

B) ,

C) ,

D) ,

E)

262. The expression of the elementary work of the force is:

A) ,

B) ,

C) ,

D) rdFdA ,

E)

263. Which of them is the theorem of the change of kinetik energy?

A)

B) ;

C) 1;

D) ;

E)

264. Which of them is the formula of the kinetik energy of system that contains of -material points?

A) ;

B) ;

C) ;

D) ;

E)

265. Which of them is the formula of the kinetik energy of plane motion?

A) ;

B)

C)

D)

E)

266. Which of them is the kinetik energy of the materail point?

A) ;

B) ;

C) ;

D) ;

E)

267. If the force is constant find the formula of its impuls

A) ;

B) ;

C) ;

D) ;

E)

268. The entire mass of the system is M, the mass of the particle -is . its coordinat is find the coordinat of the mass center of this system.

A)

B) ;

C) ;

D) ;

E)

269. Show the diferensial equation of the point motion.

A)

B)

C) ;

D)

E)

270. Show the main dinamic equation of the point in relative motion.

A)

B) ;

C) ;

D)

E) ;

271. Show the diferensial equation of the motion of material point

A)

B)

C)

D)

E)

272. Show the main equation of dinamic of the non-free material point.

A) ;

B) ;

C) ;

D) ;

E)

273. Find the relative velocity of the point.

A)

B) ;

C) ;

D) ;

E) ;

274. The coordinates of the points A and B of the rod AB are: ; . Find the coordinate center of gravity of this rod?

A) 25

B) 30

C) 31

D) 37

E) 35

275. The shape of the desk ABD is triangle and the coordinates A,B and D are: ; . Find the coordinate center of gravity of this

triangle?

A) 5

B) 54

C) 56

D) 57

E) 58

276. The high of the piramide is . Find distance from center of gravity to the base of piramide.

A) 0,2

B) 1,5

C) 2,6

D) 3,3

E) 4

277. Triangle ABD with the angle of the top D is . The coordinates of the points A,B and D are: ; ; ; . Find the coordinate center of gravity of this triangle?

A) 0. 634

B) 1. 712

C) 1. 873

D) 1. 942

E) 729

278. The high of the piramide is . Find distance from center of gravity to the base of piramide.

A) 0,3

B) 0,5

C) 0,6

D) 0,4

E) 0,7

279. The radius of the disc is and part of its contor is located on the

axis ox of the cartesian system. The coordinates of its edge points are:; ; ; . Find coordinate of the gravity center of this part?

A) 0,4

B) 101

C) 134

D) 74

E) 34

280. Find distance from the gravity center of the conus to the base which is the circle with radius and top angle is:

A) 0,1

B) 0,3

C) 0,4

D) 0,5

E) 0,2

281. To what is equal the module of the moment of force concerning the centre( - Radius a vector of a point of application of force, - angle between and force ) A) ,

B) ,

C) ,

D) ,

E)

282. How directed vector of moment of force concerning a point?

A) Perpendicularly to the planes passing through a vector of force and a point. B) In direction of a force

C) Against force D) Perpendicular to the force

E) Is in a plane passing through force and points

283. Find the resultant force of the force system.

A) R=0 ;

B) R=4;

C) R=5;

D) R=6 ;

E) R=7

284. Which of the followings is the expression of kinetic energy of a material point ?

A) ;

B) ;

C) ;

D) ;

E)

285. Which of the followings is the expression of variation of the kinetic energy of a material point ?

( Vo,V-Initial and final velocities, A-Work done through displacement )

A)

B)

C)

D)

E)

286. Which of the followings is the expression of kinetic energy of i-number of material points ?

A) ;

B) ;

C) ;

D) ;

E)

287. What is the equation of kinetic energy of an object moving on a straight-parallel path ?

A)

B)

C)

D)

E)


( -mass, -distance to z axis )

A) ;

B) ;

C) ;

D) ;

E)


( -coordinates )

A) ;

B) ;

C) ;

D) ;

E)

290. What is the momentum of acceleration of an object with respect to the origin of the coordinate system ?

( r-distance between the object and the origin )

A) ;

B) ;

C) ;

D) ;

E)

291. If the acceleration momentum of the object, with respect to z axis passing through the gravitational center of the object that has the mass "m", then what is the acceleration momentum for a parallel z' axis which is away from z axis ?

A)

B) ;

C) ;

D) ;

E) ;

292. What does "a" represent in the equation of the motion of pendulum

?

A) distance to center of gravity from rotation axis

B) force

C) velocity

D) acceleration

E) gravity

293. What is the basic expression of work done by force ?

A) ,

B) ,

C) ,

D) rdFdA ,

E)

294. What is the expression of power ?

A) ,

B) ,

C) ,

D) ,

E)

295. What is the expression of the oscillation of a point ?

A)

B)

C)

D)

E)

296. What does "a" represent in the equation of damped oscillation ?

A) maximum amplitude

B) minimum amplitude

C) velocity

D) acceleration

E) gravity

297. What does , represent in the equation of the gravitational center of

motion of a system ?

A) The Acceleration of gravitational center of system





298. What is "a material point"?

A) The material body which sizes can be neglected in Conditions of the given problem. B) Material body with small length.

C) Material body with small mass

D) Material body with small diameter

E) Material body with small measurements and mass

299. What is perfectly rigid body?A) A body with fixed distance between 2 particles irrespective of the forces acting;

B) Body with small absolute deformation

C) Body with small deformation

D) Body with small relative deformation

E) Body with small relative and absolute deformation

300. External forces by the nature of application can be:

A) Concentrated and distributed

B) temporary

C) constant

D) Attached at an angle

E) attached perpendicularly

301. What is the magnitude of the force?

A) Vector

B) Scalar

C) Absolute

D) physical

E) Natural

302. Which force system is called balanced?

A) The system which is not changing a condition of rest or movement of a body

B) System of forces with equal values

C) System of forces with equal moments

D) System of forces with equal values and moments

E) System of forces that keeps constant deformation of a body. 303. In what case absolutely rigid body which is under the influence of two forces, is in a rest condition? A) If these forces are equal on the module, directed along one straight line in opposite sidesB) If forces are equal.

C) If these forces are equal on the module, are directed along one straight line in one side.

D) If these forces are parallel

E) If the projection of this forces on any axis equal to zero

304. When added to a system of forces acting on the body, a balanced system of forces?

A) Action of system of forces on a body will not changeB) Speed of a body will changeC) The rest condition will changeD) The position of the body will change

E) Speed of a body will increase

305. What will be, if a point of application of force transfer along an action line? A) The condition of the body will not change

B) The position of the body will change

C) Depending on the value of force the position of the body can change

D) Depending on the sizes of a body its position can change

E) Depending on a point the position of the body can change306. How two bodies operate against each other?A) Operates with equal on the module, and opposite directed along one line forcesB) Depends on the mass of the bodiesC) Depends on the velocity bodiesD) The body with the big weight operates with the big force on other bodyE) Operates with equal on the module and equally directed along one straight line forces307. What is called connection?A) The bodies limiting moving of the given body in space

B) The bodies bound to the given body C) The bodies transferring movement of a body to other bodyD) The body connecting other two bodiesE) The body connecting several bodies308. On what line the reaction of communication is directed on pic. ?A) 3rd lineB) 1st lineC) 2nd lineD) 4th lineE) 5th line309. On what line the reaction of communication is directed on pic. ?A) on 4th line

B) on 1st line

C) on 2nd line

D) on 3rd line

E) on 5th line

310. What expression defines the main vector of converging system of forces?

A)

B) ,

C) ,

D) ,

E) ,

311. The free rigid body is in balance under the influence of three not parallel flat forces. Whether lines of actions of these forces are crossed?

A) Crossing

B) Not crossing

C) Can cross

D) Crossing, if moduls of these forces are equal

E) Not crossing, if moduls of these forces not equal

312. Whether if lines of action of forces enclosed on a body are crossed in one point that there is a body in balance A) Can be in balance

B) Yes

C) No

D) Yes if the modul of forces are equal

E) Yes if modul of forces aren't equal

313. How the module of the main vector of system of forces through projections of these forces is defined? A) ,

B) ,

C) ,

D) ,

E)

314. If projections of the main vector and the module of the main vector of system of forces are known ,then find the directing cosines of the main vector?

A) ,

B) ,

C)

D)

E)

315. To specify the conditions of balance of spatial system of converging forces.

A)

B) ,

C) ,

D) ,

E) ,

316. In point force is applied , in point force is applied. These forces are parallel and directed to one side. How the point of application С divides the distance resultant of these forces.

A) ,

B) ,

C) ,

D) ,

E) .

317. Where the vector of the moment of pair forces is directed?

A) Perpendicularly planes of forces so, that if to look from its end of steam rotates a body against an hour hand course .

B) parallel to the forces

C) Perpendicular to the forces

D) In direction of one of pair of forces

E) parallel to plain of forces

318. To what is equal vector of moment of pair of forces applied in a point and applied in a point ?

A) ,

B) ,

C) ,

D) ,

E)

319. In how many ways the point is moves?

A) three

B) two

C) four

D) five

E) one

320. What you must known if the point given in natural way?

A) The motion trajectory, the trajectory equation of motion, displacement, and mark the beginning

B) The motion trajectory,

C) The equation of motion for the trajectory,

D) Mark the beginning of motion,

E) Motion Trajectory, and mark the beginning of displacement

321. What you must have known when the motion of point is given by the coordinate?

A)

B)

C)

D)

E)

322. What you must have known when the motion of point is given by the vectors?

A) ,

B)

C)

D)

E)

323. The point motion is given by the vector way. Find velosity.

A)

B)

C)

D)

E)

324. The point motion is given by the vector way. Find acceleration.

A)

B)

C)

D)

E)

325. The point motion is given by the vector way. Find projection of velocity.

A)

B) ;

C)

D)

E)

326. The point motion is given by the vector way. Find projection of acceleration.

A) ;

B) ;

C) ;

D) dtzdw

dtydw

dtxdw zyx ;; ;

E)

327. Find the directions of acceleration.

A)

B)

C)

D)

E)

328. What is "dm" in the following formula ?

A) elementary mass

B) elementary force





A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A) 24

B) 82

C) 83

D) 85

E) 92


A) 36

B) 82

C) 83

D) 85

E) 92


A) 24

B) 82

C) 83

D) 85

E) 92


A) 36

B) 82

C) 83

D) 85

E) 92


A) 8

B) 18

C) 10

D) 12

E) 14


A) 12

B) 18

C) 30

D) 22

E) 24


A) 18

B) 28

C) 20

D) 22

E) 24


A) 6

B) 28

C) 20

D) 22

E) 24


A) 50

B) 68

C) 60

D) 62

E) 64


A) 10

B) 28

C) 20

D) 22

E) 24

346. How will be equation of the motion in the coordinate system ?

A) ;

B) ;

C)

D) ;

E)

347. How will be velocity of the point M ?

A) ;

B) ;

C) ;

D)

E)

348. How will be acceleration of the point M ?

A)

B) ;

C) ;

D) ;

E)

349. What is instantaneous velocity center of the point?

A) The point where velocity always equal zero

B) The point where acceleration always zero

C) The point where velocity always equal two

D) The point where force always zero

E) The point where force always equal two

350. What is the point O in the following figure?

A) instantaneous velocity center

B) elementary force




351. What is in the following formula ?

A) unit vector of the trajectory

B) elementary force




352. Show the formul of acceleration if the motion of the point is given in natural way?.

A) ;

B) ;

C) ;

D) ;

E)

353. What does ρ represent in the following formula ?

A) The radius of trajectory in following point





354. What does represent in the formul of acceleration ?

A) Tangential acceleration vector





355. Show the formul of acceleration?

A)

B)

C)

D) 4

E)

356. Show the formul of acceleration if the motion of the point is linear?

A)

B)

C)

D)

E)

357. Show the formul of angular velocity ?

A)

B)

C)

D)

E)

358. Show the formul of angular acceleration?

A) ;

B) ;

C) ;

D) ;

E)

359. Show the formul of tangetial acceleration?

A) ;

B) ;

C) ;

D) ;

E)

360. Show the formul of normal acceleration?

A)

B) ;

C) ;

D) ;

E)

361. Find the velocity of the curvlinear motion at the instant t

A)

B) 4

C) 4

D)

E)

362. If the rigid body is in transmission motion, which formula is correct?

A) ;

B) ;

C)

D) ;

E)

363. Find the rotation angle in the constant acceleration rotation motion?

A) ;

B) ;

C) ;

D) ;

E) ;

364. The position vector of the rigid body that is in rotation motion with respect to anu point that located on the rotation axis is , the angular velocity of this body . Find the vector of any point of this body?

A) ;

B) ;

C) ;

D) ;

E)

365. Find the absolute velocity

A) ;

B) ;

C) ;

D) ;

E)

366. Find the absolute acceleration

A)

B) ;

C) ;

D) ;

E) ;

367. Find the vector of the koriolis acceleration

A) ;

B) ;

C) ;

D) ;

E)

368. Find the magnitude of the koriolis acceleration

A) ;

B) ;

C) ;

D) ;

E)

369. Find the magnitude of the koriolis acceleration in the plane motion

A) ;

B) ;

C) ;

D) 4

E)

370. Along which line the Koriolis acceleration directed?

A) the third line;

B) the first line;;

C) the second line;

D) the fourth line

E) the fifth line;


A)

B)

C)

D)

E)

372. The particle with the mass 4kg moves by the velocity 2 m/sec. Find the kinetic enerjy of this particle.

A) 8 coul

B) 17 coul

C) 16 coul

D) 14 coul

E) 16 coul

373. Two same body are in rest with respect to one another without external forces. One of them begin to motion under the internal force. What does happen with the other body?

A) it moves the opposite direction with respect to the first body

B) it keeps its position

C) it move along the rectilinear line

D) it moves together with the first body

E) it is in rest

374. What does kinetik energy equal in translation motion?

A) to the semy product with the mass and its velocity

B) to the product with the sum of the mass of its particles and its velosity

C) to the product with its mass and velocity of its center of mass

D) to the product with the magnutade of the force and velocity of the application point of this force

E) to the product with the mass of the body and its angular velocity

375. Find the inersial force of the body that mass is 1 kg and moves along the circle radius 0,5 m

A) 2

B) 3

C) 6

D) 5

E) 10

376. The body moves under the force that magnitude is equal to 500N. If the velocity of this body is 0,2м/s, find the power which used for this motion.

A) 100wt;

B) 200wt;

C) 500wt;

D) 5000wt

E) 250wt.

377. The mass of the body is 1кg and law of the motion is . Find the projection of the force that acts to this

body.

A)

B)

C)

D)

E)

378. The law of the motion of the particle is . Find the projection of the acceleration of this point.

A)

B)

C)

D)

E)

379. The law of the motion of the particle is . Find the projection of the velocity of this point.

A)

B)

C)

D)

E)


A) 16

B) 23

C) 37

D) 79

E) 95


A) ;

B) ;

C) ;

D) ;

E)


A) ;

B) ;

C) ;

D) ;

E)


A) ;

B) ;

C) ;

D)

E)


A) 24

B) 82

C) 83

D) 85

E) 92


A) 36

B) 82

C) 83

D) 85

E) 92


A) 24

B) 82

C) 83

D) 85

E) 92


A) 36

B) 82

C) 83

D) 85

E) 92


A) 8

B) 18

C) 10

D) 12

E) 14


A) 12

B) 18

C) 30

D) 22

E) 24


A) 18

B) 28

C) 20

D) 22

E) 24


A) 6

B) 28

C) 20

D) 22

E) 24


A) 50

B) 58

C) 60

D) 62

E) 64


A) 10

B) 28

C) 20

D) 22

E) 24


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

397. We have given the position of the particle as: ; . Find normal acceleration.

A)

B)

C)

D)

E)


A)

B)

C)

D)

E)

399. We have given the position of the particle as: ; . Find acceleration of the particle.

A)

B)

C)

D)

E)

400. If the rod OB rotates about the axis oy with the constant angular velocity . And the load B that located on the rod moves along this rod and

it’s law of the motion is x=4t. Find the velocity of the load B when x=1,5m.

A)

B)

C)

D)

E)

401. Platform rotates about the axis z, its law of rotation is . There is a straight line OA on this platform and the point M moves by the law

along OA. Find the koriolis acceleration of this point M at an instant

A)

B)

C)

D)

E)

402. The lenght of the circle is and its part is located on the first term

of the cartesian system. The coordinates of its edge points are: ; ; ; . Find coordinate of the gravity center of this part?

A) 7,78

B) 35,83

C) 99,54

D) 26,82

E) 78,91

403. If the point moves along the curve line and the radius of curviture is constant, find the motion of the point.

A) rotation motion

B) plane motion

C) transmission motion

D) linear motion

E) the point is in rest


A)

B)

C)

D)

E)

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