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Question

A hollow spherical ball is given an initial push up an incline of inclination angle α. The ball rolls purely. The coefficient of static friction between the ball and incline =μ. During its upwards journey

A
friction acts up along the incline
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B
μmin=(2tanα)/5
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C
friction acts down along the incline
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D
μmin=(2tanα)/7
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Solution

The correct options are
A friction acts up along the incline
B μmin=(2tanα)/5
mgsinθR=53mr2αf+mgsinθ=ma
Here f is assumed to act down the plane but f comes out to be negative.
So f acts upwards.
fR=Iαmgsinθf=maf=μmgcosθ
Solve to get the expression for coefficient of friction

445352_218977_ans_ccc519b0a7234f10932098a67f868357.png

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