E M 274 SI Exam I Review
SI Leader: Riley
SI Schedule Changes for Exam Week
SUN 2/10 MON 2/11 TUE 2/12 WED 2/13 THUR 2/14
4:10-6 Howe 1252Exam Rvw w/Riley
6:10-8 Carver 305Exam Rvw w/Alex
5:10-6 Howe 1246Exam Review
NO SI
EXAM I
NO SI
Exam I Topics
VECTORS● Magnitude & Direction● Resolve into Components● Calculate Resultant
2D | OrthogonalNon-orthogonal
3D | Transverse/azimuthDirection CosinesPosition Vectors
PARTICLE EQUILIBRIUM● FBD!!● Solve system of 2 or 3 eq’ns● May use capacity constraints
2D | Springs , pulleys, geometry∑F
x = 0, ∑F
y = 0
3D | Break into components∑F
x = 0, ∑F
y = 0, ∑F
z = 0
MOMENTS● Force at a distance
2D | M = FdDefine (+) rotation
3D | M = r x FRight-hand Rule
DOT PRODUCT● Angle Between Vectors● // and ⟂ vector components● Moment about an axis● Be careful: Vector vs Scalar
2-5 |
The vertical force F acts downward at A on the two-membered
frame. Determine the magnitudes of the two components of F
directed along the axes of AB and AC. Set F = 500 N.
2-17 |
Determine the magnitude and direction of the
resultant FR
.
2-69 |
Determine the magnitude and coordinate direction
angles of the resultant force.
2-117/118 |
a) Determine the angle 𝛳 between cables AB and AC.
b) Determine the magnitude of the projected
component of the force F = { 60i + 12j ﹣40k } N
along the cable AC.
c) Determine the magnitude of the component of the
force F acting perpendicular to cable AC.
For the following problem statements, draw an FBD and write the equations of equilibrium.
3-23 |
Springs BA and BC have k = 500 N/m and an
unstretched length of 3 m. If F = 175 N, find
the displacement d of the cord from the wall.
3-23 |
Determine the magnitude of F1 and the distance y
if x = 1.5 m and F2 = 1000 N.
3-62 |
The maximum force in each rod cannot exceed
1500 N. Determine the greatest mass of the
crate that can be supported.
4-6 |
The crowbar is subjected to a vertical force of P = 25 lb at the grip, whereas it takes a force of
F = 155 lb at the claw to pull the nail out. Find
the moment of each force about point A and
determine if P is sufficient to pull out the nail.
The crowbar contacts the board at point A.
4-66 |
The force F = 30 N acts on the bracket as shown.
Determine the moment of the force about the a-a
axis of the pipe if 𝛼 = 60°, 𝛽 = 60°, and 𝛾 = 45°.