A disc is rolling the velocity of its centre of mass is $v_{\text{cm}}$ then which one will be correct:
(2001)
The velocity of highest point is $2 v_{\text{cm}}$ and point of contact is zero
The velocity of highest point is $v_{\text{cm}}$ and point of contact is $v_{\text{cm}}$
The velocity of highest point is $2 v_{\text{cm}}$ and point of contact is $v_{\text{cm}}$
The velocity of highest point is $2 v_{\text{cm}}$ and point of contact is $2 v_{\text{cm}}$
Solution:
For pure rolling, the velocity of the topmost point is $$v*{\text{cm}} + \omega R = 2v_{\text{cm}}$$ and the point of contact is $$v_{\text{cm}} - \omega R = 0$$.
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