A cubical block of side a is moving with velocity v on a horizontal smooth plane as shown. It hits a ridge at point O . The angular speed of the block after it hits O is
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when block hits ridge at O , it will start rotating about an axis passing through O and perpendicular to the plane of paper. No external torque acts on block hence angular momentum is conserved Angular momentum before hitting, 
after hitting, 
is MI of block about axis through O and perpendicular to plane of block.
if 
is MI about C then 
From parallel axes theorem,
hence 
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