Q.

A hollow sphere of mass 100g is released from the top of an inclined plane of inclination  ϕ(=450) and height h ( = 8 m). The coefficient of friction between the plane and the sphere is 0.2. The work done (in J) by the force of friction as the sphere rolls down the inclined plane is w1  in rotation about centre of mass and w2  in translation of centre of mass. Find the value of    w1w2g=10m/s2

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answer is 2.2.

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Detailed Solution

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μmin for pure rolling  =tanθβ1+β=0.4
Given  μ=0.2<0.4
 W1=12μ2mg1μ=0.6
 
W2=8μmg=1.6

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