Q.

A solid sphere of mass 1 kg and radius 1 m rolls without slipping on a fixed inclined plane with an angle of inclination  θ=300 from the horizontal. Two forces of magnitude 1N each, parallel to the incline, act on the sphere, both at distance  r=0.5m from the centre of the sphere, as shown in the figure. The acceleration of the sphere down the plane is______ms2. (Take  g=10ms2)
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answer is 2.85.

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Detailed Solution

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mg  sinθ×R+1×R21×3R2=IPα 102×1+1232=75×mR2α 51=73α 207=α acm=Rα=207

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