Deck 3: Equilibrium of Particles and Rigid Bodies: 2D, 3D
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Deck 3: Equilibrium of Particles and Rigid Bodies: 2D, 3D
1
pin at A in Problem 3.7 is removed and the pole rests on a rough surface at A in the position shown in the figure below. The minimum coefficient of friction at A required for equilibrium is: 
(A) 0.41
(B) 0.25
(C) 0.37
(D) 0.64

(A) 0.41
(B) 0.25
(C) 0.37
(D) 0.64
A
2
cable and frictionless pulley system at D is used to bring a 230-kg pole (ACB) to a vertical position as shown in the figure. The cable has tensile force T and is attached at C. The reaction force components,
and
, at A (in newtons) are: 
(A) 3102, 21270
(B) 21270, 3102
(C) 21342, 4214
(D) 23102, 4204



(A) 3102, 21270
(B) 21270, 3102
(C) 21342, 4214
(D) 23102, 4204
B
3



(A) 0.19
(B) 0.33
(C) 0.68
(D) 0.24
D
4
reaction force at C (lb) for the beam below is: 
(A) 675 lb
(B) 985 lb
(C) 775 lb
(D) 525 lb

(A) 675 lb
(B) 985 lb
(C) 775 lb
(D) 525 lb
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5
cylinders are in contact along an inclined plane. The upper cylinder (weight is 2.5W) rests against

(A) 1.75W
(B) 3.5W
(C) 1.57W
(D) 2.01W


(A) 1.75W
(B) 3.5W
(C) 1.57W
(D) 2.01W
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6



(A) 75, 130
(B) 130, 75
(C) 125, 150
(D) 75, 120
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7
coefficient of friction between a block and the plane is 0.25 (see figure). The minimum horizontal force F (in newtons) required to cause the block to slide up the plane is: 
(A) 827
(B) 714
(C) 609
(D) 522

(A) 827
(B) 714
(C) 609
(D) 522
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8
y-direction force on frame ABCDEF below acts at the center of the bar segment to which it is applied. Support B is restrained against translation in the
directions only, and support C is restrained in the
direc-
Tion only. Support D is a pin support. Equilibrium of the frame requires that reaction force
is (in newtons): 
(A) 80.8 N
(B) 67.7 N
(C) 14.8 N
(D) 92.2 N


Tion only. Support D is a pin support. Equilibrium of the frame requires that reaction force


(A) 80.8 N
(B) 67.7 N
(C) 14.8 N
(D) 92.2 N
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9
Force F required to hold the 75-lb weight in equilibrium is: 
(A) 37.50 lb
(B) 18.75 lb
(C) 56.25 lb
(D) 25.0 lb

(A) 37.50 lb
(B) 18.75 lb
(C) 56.25 lb
(D) 25.0 lb
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10
contact force F between the two cylinders in Problem 3.3 may be expressed in terms of load variable W as:
(A) 1.82W
(B) 2.5W
(C) 2.1W
(D) 1.52W
(A) 1.82W
(B) 2.5W
(C) 2.1W
(D) 1.52W
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11
An adjustable bracket with a collar slides on a pole and is held in place by friction at A and B. The min- imum coefficient of static friction between the pole and collar so that the collar is self-locking against the pole
Under applied load F is:
(A) 0.25
(B) 0.31
(C) 0.42
(D) 0.83
Under applied load F is:

(A) 0.25
(B) 0.31
(C) 0.42
(D) 0.83
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