A spherical shell of radius R is rolling down an incline of inclination θ without slipping. Find the minimum value of the coefficient of friction.

Question

A spherical shell of radius R is rolling down an incline of inclination θ without slipping. Find the minimum value of the coefficient of friction., 2 7 tan ⁡ θ, 2 5 tan ⁡ θ, 2 3 tan ⁡ θ, none of these

MARKS App · Accepted Answer

F f r = I α ⇒ μ m g cos θ = 2 3 m a ⇒ μ m g cos θ = 2 3 m g sin θ 1 + 2 3 ⇒ μ = 2 5 tan θ

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