Equilibrium of a Particle - General Questions

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Equilibrium of a Particle - General Questions

pg3-8

The ends of the three cables are attached to ring at A and to the edge of a uniform 150-kg plate. Determine the tension in each of the cables for equilibrium.

A.	Fab = 629 N, Fac = 1030N, Fad = 57.0 N
B.	Fab = 1116 N, Fac = 1030N, Fad = 429 N
C.	Fab = 720 N, Fac = 116.1N, Fad = 830 N
D.	Fab = 858 N, Fac = 0, Fad = 858 N

Answer: Option D

Explanation:

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pg3-7

Determine the force in each strut and tell whether it is in tension or compression.

A.	Fab = 1.76 lb T, Fac = 5.00 lb T, Fad = 3.53 lb C
B.	Fab = 11.47 lb T, Fac = 25.0 lb C, Fad = 14.97 lb C
C.	Fab = 11.47 lb C, Fac = 25.0 lb T, Fad = 14.97 lb C
D.	Fab = 1.76 lb C, Fac = 5.00 lb T, Fad = 3.53 lb C

Answer: Option C

Explanation:

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pg3-6a

A continuous of total length 4 m is wrapped around the small frictionless pulleys at A, B, C, and D. If the stiffness of each spring is k = 500 N/m and each spring is stretched 300 mm, determine the mass m of each block. Neglect the weight of the pulleys and cords. The springs are unstretched when d = 2 m.

A.	m = 153.0 kg
B.	m = 15.60 kg
C.	m = 4.75 kg
D.	m = 30.5 kg

Answer: Option B

Explanation:

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pg3-1

The patella P located in the human knee joint is subjected to tendon forces T₁ and T₂ and a force F exerted on the patella by the femoral articular A. If the directions of these forces are estimated from an X-ray as shown, determine the magnitudes of T₁ and F when the tendon force T₂ = 6 lb.. The forces are concurrent at point O.

A.	T1 = 1.042 lb, F = 5.91 lb
B.	T1 = 5.64 lb, F = 5.64 lb
C.	T1 = 1.203 lb, F = 5.31 lb
D.	T1 = 4.45 lb, F = 6.82 lb

Answer: Option D

Explanation:

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pg3-5a

Determine the force F needed to hold the 4-kg lamp in the position shown.

A.	F = 39.2 N
B.	F = 68.0 N
C.	F = 34.0 N
D.	F = 19..62 N

Answer: Option A

Explanation:

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pg3-10

Determine the tension developed in cables OD and OB and the strut OC, required to support the 500-lb crate. The spring OA has an unstretched length of 0.2 ft and a stiffness of kOA = 350lb/ft. The force in the strut acts along the axis of the strut.

A.	Fob = 289 lb, Foc = 175.0 lb, Fod = 131.3 lb
B.	Fob = 86.2 lb, Foc = 175.0 lb, Fod = 506 lb
C.	Fob = 375 lb, Foc = 0, Fod = 375 lb
D.	Fob = 664 lb, Foc = 175.0 lb, Fod = 244 lb

Answer: Option B

Explanation:

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pg3-2

Determine the magnitude and direction theta of the resultant force FAB exerted along link AB by the tractive apparatus shown. The suspended mass is 10 kg. Neglect the size of the pulley at A.

A.	FAB = 170.0 N, = 75.0°
B.	FAB = 170.0 N,= 15.0°
C.	FAB = 98.1 N,= 75.0°
D.	FAB = 98.1 N,= 15.0°

Answer: Option D

Explanation:

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pg3-11

Determine the magnitudes ofthe forces P, R, and F required for equillibrium of point O.

A.	R = 238 N, F = 181.0 N, P = 395 N
B.	R = 1340 N, F = 740 N, P = 538 N
C.	R = 419 N, F = 181.0 N, P = 395 N
D.	R = 409 N, F = 504 N, P = 1099 N

Answer: Option D

Explanation:

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Equilibrium of a Particle - General Questions

Equilibrium of a Particle - General Questions

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