me202 engineering mechanics l2
TRANSCRIPT
DEVAPRAKASAM DEIVASAGAYAMProfessor of Mechanical Engineering
Room:11, LW, 2nd FloorSchool of Mechanical and Building Sciences
Email: [email protected], [email protected]
ME202: Engineering Mechanics (3:1:0:4)
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
Newtonian Mechanics
Engineering Mechanics
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
• Scalar Quantity- Has magnitude and has no associated direction• Examples: Volume, Time, Mass, Speed, Density, Temperature.• Vector Quantity- Has Magnitude and Direction • Examples: Force, Velocity, Moment, Acceleration
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
Scalar and Vector
• Push or Pull on a body• It is a vector
i
Y
X
Z
j
k
F = Fx i + Fy j ……(2D)
F = Fx i + Fy j + Fz k…..(3D)
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
Force
Sign Convention (+ve)
• Express the 2D and 3D equilibrium equations for particle resulting from the application of Newton’s 1st Law
0
0
0
Y
X
F
F
F
3D
0
0
0
0
Z
Y
X
F
F
F
F2D
0
0
0
||
F
F
F
2 Independent Eqns & 3 Independent Eqns &
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
2D and 3D Equilibrium
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
Vector Addition
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
Vector addition Example
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
Vector addition Example
• Express a 2D force in terms of rectangular. components.
• Express a 2D force in terms of parallel and perpendicular components.
• Apply vector addition to find resultant of more than one force.
X
F
i
Y
j
θ
F = Fx i + Fy jFx= F cosθ
Fy= F sinθ
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
2D Force representation
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
2D Force representation
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
2D Force Example
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
2D Force Example
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
2D Force Example
Devaprakasam D, Email: [email protected], Ph: +91 9786553933
2D Force Example