A hollow cylinder of mass m and radius R is spinned to a clockwise angular velocity $ω_{o}$ and then gently placed on an inclined plane for which coefficient of friction $μ = tan θ, θ$ is the angle of inclined plane with horizontal. The centre of mass of the cylinder will remain stationary for time :-

Question

CT45 m5 diagram

TestHub · Accepted Answer

Maximum friction balances mg sinθ, so the centre remains fixed while angular speed falls. For a hollow cylinder α=μg cosθ/R=g sinθ/R, hence t=ω0R/(g sinθ).

Physics - Rotation Question with Solution | TestHub

Options:

Doubts & Discussion