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Q.

A shown in figure, S is a point (always at a fixed distance from center of disc) on a uniform disc rolling with uniform angular velocity on a fixed rough horizontal surface. The only forces acting on the disc are its weight and contact forces exerted by the horizontal surface. Which of the following graphs best represents the magnitude of the acceleration of point S as a function of time

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a

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b

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c

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d

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answer is C.

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Detailed Solution

 Since angular velocity is constant, acceleration of Com of the disc is zero. Hence the magnitude of acceleration of point S is centripetal acceleration which is constant in magnitude.  

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