Physics - Rotation Question with Solution | TestHub

A uniformly dense solid cylinder of mass m and radius R is released from rest on an inclined plane. After releasing from rest it starts performing pure rolling (i.e. rolling without slipping). As there is no slipping the friction force acting is static in nature. Therefore the relative velocity between the points in contact is zero. During its downward journey along the incline the cylinder moves distance $\ell$ along the incline. The angle of inclination from horizontal is $\alpha$ and the coefficient of friction is $\mu$. The acceleration due to gravity is g downwards. Air resistance is not present.

The final angular speed of the cylinder is