A solid sphere is in pure rolling motion on an inclined surface having inclination $θ$

frictional force acting on sphere is f = $μ$ mg cos $θ$

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f is dissipative force

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friction will increase its angular velocity and decrease its linear velocity

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If $θ$ decreases, friction will decrease

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Solution

The correct option is D
If $θ$ decreases, friction will decrease

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Q. A hollow cylinder, a spherical shell, a solid cylinder and a solid sphere are allowed to roll purely on an inclined rough surface of inclination

θ

. The CORRECT statement(s) is/are:

A uniform solid sphere of radius R, rolling without sliding on a horizontal surface with an angular velocity $ω_{0}$ , meets a rough inclined plane of inclination $θ = 60^{\circ}$ .The sphere starts pure rolling up the plane with an angular velocity $ω$ . Find the value of $ω$ .