A solid cylinder (moment of inertia ) rests on an incline that makes an angle of with…

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A solid cylinder (moment of inertia I=12mr2I=\tfrac{1}{2}mr^{2}) rests on an incline that makes an angle of 25∘25^{\circ} with the horizontal. The coefficient of kinetic friction is negligible, but static friction determines whether the cylinder rolls without slipping. What is the minimum coefficient of static friction μs,min⁡\mu_{s,\min} required for the cylinder to roll without slipping as it moves down the incline? (a) 0.230.23 (b) 0.470.47 (c) 0.160.16 (d) 0.140.14

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