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Q.

A cubical block of side a is moving with a velocity v on a horizontal smooth plane as shown in the figure, it hits a bridge at O. The angular speed of the block after it hits the ridge at O, is

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a

3v4a

b

3v2a

c

32va

d

zero

answer is A.

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Detailed Solution

from conservation of angular momentum  mva2=Iω mva2=2 m a23ω   (moment of inertia about a corner of a cube =2 m a23) ω=3v4a
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A cubical block of side a is moving with a velocity v on a horizontal smooth plane as shown in the figure, it hits a bridge at O. The angular speed of the block after it hits the ridge at O, is