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  4. A particle of mass m is moving in y z-plane with a uniform velocity v as shown in figure. It collides elastically with the wall A B. The change in its angular momentum about the origin as it bounces elastically from the wall is √α m v a hati . Find α .

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Q. A particle of mass $m$ is moving in $y z$-plane with a uniform velocity $v$ as shown in figure. It collides elastically with the wall $A B$. The change in its angular momentum about the origin as it bounces elastically from the wall is $\sqrt{\alpha} m v a \hat{i} .$ Find $\alpha .$Physics Question Image

System of Particles and Rotational Motion

Solution:

Initial angular momentum about $O$ is zero
image
Angular momentum after collision is $\sqrt{2} m v a \hat{i}$