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(A, C, D) For a circular disc rolling without slipping on a horizontal floor, the velocity of any point on the rim is the vector sum of the translatio

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(A, C, D) For a circular disc rolling without slipping on a horizontal floor, the velocity of any point on the rim is the vector sum of the translational velocity of the centre $(v)$ and the tangential velocity due to rotation $(\omega R)$.Since the disc rolls without slipping, $v = \omega R$.$1$. At the point of contact $(P)$ with the floor, the velocity is $v_P = v - \omega R = v - v = 0$.$2$. At the top point $(S)$, the velocity is $v_S = v + \omega R = v + v = 2v$.$3$. At any other point on the rim, the magnitude of the velocity lies between $0$ and $2v$. Specifically, at the level of the centre, the velocity is $\sqrt{v^2 + v^2} = \sqrt{2}v$.Thus, the possible values for the velocity of a point on the rim include $0$, $v$, $\sqrt{2}v$, and $2v$. Among the given options, $v$, $2v$, and $0$ are valid.

$A$ circular disc rolls on a horizontal floor without slipping and the centre of the disc moves with a uniform velocity $v$. Which of the following values can the velocity of a point on the rim of the disc have?

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