Exercise: Planar Kinetics Of A Rigid Body Force And Animation

Questions for: Planar Kinetics Of A Rigid Body Force And Animation

The wheel has a weight of 30 lb, a radius of r = 0.5 ft, and a radius of gyration of kG = 0.23 ft. If the coefficient if friction between the wheel and the plane is = 0.2, determine the wheel's angular acceleration as it rolls down the incline. Set = 12°.

A:
= 59.5 rad/s2
B:
= 8.93 rad/s2
C:
= 11.05 rad/s2
D:
= 63.3 rad/s2
Answer: C
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A woman sits in a rigid position on her rocking chair by keeping her feet on the bottom rungs at B. At the instant shown, she has reached an extreme backward position and has zero angular velocity. Determine her forward angular acceleration and the frictional force at A necessary to prevent the rocker from slipping. The woman and the rocker have a combined weight of 180 lb and a raduis of gyration about G of kG = 2.2 ft.

A:
= 1.185 rad/s2, F = 19.87 lb
B:
= 1.143 rad/s2, F = 19.16 lb
C:
= 1.163 rad/s2, F = 19.51 lb
D:
= 3.16 rad/s2, F = 5301 lb
Answer: B
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If the support at B is suddenly removed, determine the initial reactions at the pin A. The plate has a weight of 30 lb.

A:
Ax = 22.5 lb, Ay = 7.5 lb
B:
Ax = 0, Ay = 30.0 lb
C:
Ax = 11.25 lb, Ay = 18.75 lb
D:
Ax = 11.25 lb, Ay = 41.3 lb
Answer: C
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A cord wrapped around the inner core of a spool. If the cord is pulled with a constant tension of 30 lb and the spool is originally at rest, determine the spool's angular Velocity when s = 8 ft of cord have unraveled. Neglect the weight of the cord. The spool and cord have a total weight of 400 lb and the radius of gyration about the axle A is kA = 1.30 ft.

A:
= 6.73 rad/s
B:
= 3.38 rad/s
C:
= 4.78 rad/s
D:
= 11.43 rad/s
Answer: C
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Bar AB has a weight of 10 lb and is fixed to the carriage at A. Determine the internal axial force Ay, shear force V, and moment MA at A if the carriage is descending the plane with an acceleration of 4 ft/s2.

A:
Ay = 8.92 lb 8, Vx = 0.621 lb 7, MA = 0
B:
Ay = 9.38 lb 8, Vx = 1.076 lb 7, MA = 1.076 lb-ft
C:
Ay = 8.92 lb 8, Vx = 0.621 lb 7, MA = 0.621 lb-ft
D:
Ay = 9.38 lb 8, Vx = 1.076 lb 7, MA = 0
Answer: B
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