A wheel is released on a rough horizontal floor after imparting it an initial horizontal velocity
Channel: Doubtnut
Date: 05/04/2020

A wheel is released on a rough horizontal floor after imparting it an initial horizontal velocity `v_(0)` and angular velocity` omega_(0)` as shown in the figure below. Point `O` is the centre of mass of the wheel and point `P` is its instantaneous point of contact with the groundl. The radius of wheel is `r` and its radius of gyration about `O` is `k`. Coefficient of friction between wheel and ground is `mu`. A is a fixed point on the ground.      If the wheel comes to permanent rest after sometimes, then `:`