The center of mass of the disc undergoes simple harmonic motion with angular frequency $$ \omega $$ equal to
In figure, a constant horizontal force $$\vec F_{app}$$ of magnitude of $$10\ N$$ is applied to a wheel of mass $$10\ kg$$ and radius $$0.30\ m$$. The wheel rools smoothly on the horizontal surface, and the acceleration of its centre of mass has magnitude $$0.60\ m/s^2$$. What is the rotational inertia of the wheel about the rotation axis through its centre of mass?
A bowler throws a bowling a lane. The ball slides on the lane with initial speed $$v_{com.0}=8.5\ m/s$$ and initial angular speed $$\omega _0 =0$$. The coefficient of kinetic friction between the ball and the lane is $$0.21$$. The kinetic friction force $$\vec f_{k}$$ acting on the ball causes an angular acceleration of the ball. When speed $$v_{com}$$ has decreases enough and angular speed $$\omega$$ has increased enough, the ball stops sliding and then rolls smoothly. Angular acceleration?