A smooth sphere A is moving on a frictionless | vedclass

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(C) Since the spheres are smooth,there is no friction between them during the collision.Friction is the only source of torque that could change the an

Vedclass · Accepted Answer

$\omega_A = \omega$

Vedclass · Answer

(C) Since the spheres are smooth,there is no friction between them during the collision.Friction is the only source of torque that could change the angular momentum of a sphere about its center of mass.Because there is no friction,there is no torque acting on either sphere.Consequently,the angular momentum of each sphere remains constant.For sphere $A$,the initial angular momentum is $L_A = I\omega$. Since no torque acts on it,its final angular momentum remains $I\omega_A = I\omega$,which implies $\omega_A = \omega$.For sphere $B$,which was initially at rest,its initial angular momentum is $0$. Since no torque acts on it,its final angular momentum remains $0$,which implies $\omega_B = 0$.

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