A round body is given a translational velocit | vedclass

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Question

(A) When a round body is given only translational velocity $v$ on a rough surface,the velocity of the point of contact is $v$ in the forward direction

Vedclass · Accepted Answer

Body will move forward before pure rolling

Vedclass · Answer

(A) When a round body is given only translational velocity $v$ on a rough surface,the velocity of the point of contact is $v$ in the forward direction. Since there is friction,it acts in the backward direction to oppose this relative motion. This friction force creates a torque about the center of mass,which causes the body to start rotating with angular velocity $\omega$. As $\omega$ increases,the velocity of the point of contact $v_{contact} = v - \omega R$ decreases. The body continues to move forward while its rotational speed increases until the condition for pure rolling,$v = \omega R$,is satisfied. Therefore,the body moves forward during the entire process until pure rolling is achieved.

$A$ round body is given a translational velocity and released on a surface that has friction. Then:

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