Question

A uniform disc of mass m and radius R is projected horizontally with velocity $v_0$ on a rough horizontal floor, so that it starts. off with a purely sliding motion at t = 0. After $t_0$ seconds, it acquires a purely rolling motion as shown in figure. The velocity of the centre of mass of the disc at $t_0$.

• A. $\frac{3}{2}{v}_0$
• B. $\frac{3}{4}{v}_0$
• C. $\frac{2}{3}{v}_0$
• D. $\frac{4}{3}{v}_0$

Answer 1

The correct option is C $\frac{2}{3}{v}_0$