Rotation

A uniform ring of mass \(m\) and radius \(R\) is performing uniform pure rolling motion on a horizontal surface. The velocity of the center of the ring is \(V_0\). If the kinetic energy of the semicircular arc \(AOB\) is \(mv_0^2 \left(\frac{1}{\alpha} - \frac{\beta}{\pi} \right)\), then find the value of \(\alpha + \beta\).

×

Problem Loading...

Note Loading...

Set Loading...