A 5-kg quarter of a circular disk with a radius of 500 mm and a radius of gyration kc = 0.25 m is pinned at O. If it is released from rest with the left edge at a vertical position (theta is zero) as shown below, find: a) Its initial angular acceleration b) The reaction force at O in z-y coordinate system c) Its angular velocity when theta reaches 45 degrees (G is the center of gravity)

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A 5-kg quarter of a circular disk with a radius of 500 mm and a radius of gyration kc = 0.25 m is pinned at O. If it is released from rest with
the left edge at a vertical position (theta is zero) as shown below, find:
a) Its initial angular acceleration
b) The reaction force at O in z-y coordinate system
c) Its angular velocity when theta reaches 45 degrees
(G is the center of gravity)
4R
R !
4R
R
y
0 = 0
Transcribed Image Text:A 5-kg quarter of a circular disk with a radius of 500 mm and a radius of gyration kc = 0.25 m is pinned at O. If it is released from rest with the left edge at a vertical position (theta is zero) as shown below, find: a) Its initial angular acceleration b) The reaction force at O in z-y coordinate system c) Its angular velocity when theta reaches 45 degrees (G is the center of gravity) 4R R ! 4R R y 0 = 0
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