An imperfectly rough sphere moves from rest down a plane inclined at an angle α to the horizontal. The coefficient of friction between the inclined plane and sphere is μ. Then
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a
if μ < 27 tan α,μ > 17 tan α, then pure rolling is not possible.
b
if μ > 17 tan α, then only pure rolling takes place.
c
if μ > 27 tan α, then pure rolling takes place.
d
all of the above are wrong.
answer is C.
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Detailed Solution
For pure rolling μ≥ tanα/ 1+mr2Ic For solid sphere,IC=25 mr2 ∴μ≥tanα/1+52⇒μ≥27tanα⇒μmin=27tanα