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A wheel of radius R and mass M rolls without slipage to the left on a conveyor belt with constant velocity v relative to the belt which moves towards right at a constant speed u. Select correct option(s).

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Normal contact force between the wheel and the conveyor belt is Mg

Instantaneous velocity of point P is $- v (\hat{i} + \hat{j})$

Instantaneous acceleration of point P is $\frac{V^{2}}{R} \hat{i}$

Instantaneous velocity of point P is $- (v - u) (\hat{i} + \hat{j})$

answer is A, C.

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Detailed Solution

In belt frame $v = ω R \Rightarrow ω = \frac{v}{R}$
and ${_{P.g}}_{Pc}_{C.g} =ωR () + (u-v)$
and ${_{P.g}}_{{Pc}^{t}}_{{Pc}^{n}}_{cg} {=ω}^{2} \frac{V^{2}}{R}$

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