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Physics - Rotation Question with Solution | TestHub

PhysicsRotationCollision in RotationEasy2 minQB

PhysicsEasysingle choice

A cubical block of side moving with a velocity $v$ on a horizontal smooth plane as shown. It hits a ridge at point $O$ and sticks to it (collision is perfectly inelastic). The angular speed of the block after it hits $O$ is

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Answer:

Solution:

Net torque about $O$ is zero.
Therefore, angular momentum $(L)$ about point $O$ will be conserved

or, $L_{i} = L_{f}$

$Mv (\frac{a}{2}) = I_{0} ω = (I_{com} + {Mr}^{2}) ω$

$= \{(\frac{{Ma}^{2}}{6}) + M (\frac{a^{2}}{2})\} ω = \frac{2}{3} {Ma}^{2} ω$

$∴ ω = 3 v / 4 a$

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Collision in Rotation

⏱ 2mℹ️ Source: QB

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