Physics - Center of Mass Question with Solution | TestHub

One end of a pendulum is attached to point O on the wedge of mass $\mathrm{M}=4\mathrm{m}$. Mass of the pendulum is m and its length is $\ell$. Initially system is at rest on a smooth floor, now velocity ${\mathrm{v}}_0=12\mathrm{m}/\mathrm{s}$ is given to the pendulum in horizontal direction. ${\mathrm{v}}_0$ is sufficient for the bob to move in circle with respect to O . If at highest point of the trajectory speed of bob is equal to speed of wedge then find this speed in m/s.