Physics - Rotation Question with Solution | TestHub

A thin hollow cylinder of radius R and mass M slides across a frictionless floor with speed ${\mathrm{V}}_0$. Initially the cylinder is spinning backward with angular velocity ${\omega }_0=2{\mathrm{V}}_0/\mathrm{R}$ as shown in figure. The cylinder passes onto a rough area and continues moving in a straight line. Due to friction, it eventually rolls. The final velocity of cylinder is ${\mathrm{V}}_{\mathrm{f}}$. The value of $\frac{2{\mathrm{V}}_{\mathrm{f}}}{{\mathrm{V}}_0}$ is :-