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
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