Equilibrium Of A Particle

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: D

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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: C

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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: B

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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: D

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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: A

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Questions for: Equilibrium Of A Particle