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Q.

A sphere has to purely roll upwards. At an instant when the velocity of sphere is v, frictional force acting on it is

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a

downwards and μmgcos⁡θ

b

downwards and 2mgsin⁡θ7

c

upwards and μmgcos⁡θ

d

upwards and 2mgsin⁡θ7

answer is D.

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Detailed Solution

In case of rolling upwards in the inclined plane, let say friction acts upwardsTranslation : mgsinθ-f=ma Rotation : fR=25mR2aR For sphere, k2=25R2     From Eqs. (i) and (ii), f=27mgsin⁡θ (upwards)
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