Exercise: Equilibrium Of A Rigid Body

Questions for: Equilibrium Of A Rigid Body

Determine the tension in the supporting cables BC and BD and the components of reaction at the ball-and-socket joint A of the boom. The boom supports a drum having a weight of 200 lb. at F. Points C and D lie in the x—y plane.

A:
Ax = 0, Ay = 150 lb, Az = 562 lb, TBC = 300 lb, TBD = 212 lb
B:
Ax = 0, Ay = 150 lb, Az = 456 lb, TBC = 150 lb, TBD = 212 lb
C:
Ax = 0, Ay = 267 lb, Az = 843 lb, TBC = 533 lb, TBD = lb
D:
Ax = 0, Ay = 150 lb, Az = 500 lb, TBC = 212 lb, TBD = 212 lb
Answer: A
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The sports car has a mass of 1.5 Mg and mass center at G. If the front two springs each have a stiffness of kA=58 kN/m and the rear two springs each have a stiffness of kB = 65 kN/m, determine their compression when the car is parked on the 30° incline. Also, what frictional force FB must be applied to each of the rear wheels to hold the car in equilibrium?

A:
xA = 16.1 mm, xB = 42.2 mm, FB = 6.37 kN
B:
xA = 65.9 mm, xB = 39.2 mm, FB = 6.37 kN
C:
xA = 53.2 mm, xB = 50.5 mm, FB = 3.68 kN
D:
xA = 76.1 mm, xB = 45.3 mm, FB = 3.68 kN
Answer: C
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The girl has a mass of 17kg and mass center at Gg, and the tricycle has a mass of 10kg and mass center at Gt. Determine the normal reactions at each wheel for equilibrium.

A:
NA = 14.77 N, NB = NC = 6.12 N
B:
NA = 128.8 N, NB = NC = 68.0 N
C:
NA = 144.9 N, NB = NC = 60.0 N
D:
NA = 13.15 N, NB = NC = 6.93 N
Answer: B
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