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 .

Question

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 . (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Initial angular momentum about O is zero <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/a505f17ff447fb2a43172d781177dde6-.png" /> Angular momentum after collision is √2 m v a hati

Q. A particle of mass $m$ is moving in $yz$ -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 $α m v a \hat{i} .$ Find $α .$

Initial angular momentum about $O$ is zero

Angular momentum after collision is $2 m v a \hat{i}$

Q. A particle of mass m is moving in yz-plane with a uniform velocity v as shown in figure. It collides elastically with the wall AB. The change in its angular momentum about the origin as it bounces elastically from the wall is α​mvai^. Find α.

Initial angular momentum about O is zero Angular momentum after collision is 2​mvai^

Q. A particle of mass $m$ is moving in $yz$ -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 $α m v a \hat{i} .$ Find $α .$

Initial angular momentum about $O$ is zero

Angular momentum after collision is $2 m v a \hat{i}$