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A solid cylinder of mass 10 kg is rolling perfectly on a plane of inclination `30^(@)`. Find the force of friction between the cylinder and the surface of the inclined plane.

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A horizontal uniform rod of mass 'm' has its left end hinged to the fixed incline plane, while its right end rrests on the top of a uniform cylinder of mass 'm' which in turn is at rest on the fixed inclined plane as shown. The coefficient of friction between the cylinder and rod, and between the cylinder and inclined plane, is sufficient to keep the cylinder at rest. The magnitude of normal reaction exerted by the inclinded plane on the cylinder is :

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