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A uniform wheel is rolling without slipping on a horizontal surface. At a certain instant, its centre of mass has velocity ' $v$ ' and acceleration ' $a$ '. $P, Q & R$ are three points on the rim of the disc as shown in the figure. Acceleration of

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P is vertically upwards

Q may be vertically downwards

R cannot be horizontal

Some point on the rim may be horizontal leftwards.

answer is A, B, C, D.

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Detailed Solution

At A : for a rolling wheel, $a = R α$

At B : If $\frac{V^{2}}{R} = a$ then $a_{B}$ may be vertically downwards

At C :

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