A bob of mass${\text{m}}_1$ hangs by a light inextensible string which passes over a fixed smooth pulley P and connects a ring of mass ${\text{m}}_{\text{2}}$ . The ring is constrained to move along a smooth rigid horizontal rod. The instantaneous velocities and accelerations of the bodies are $\text{v}{}_{\text{1}}{\text{,a}}_{\text{1}}\text{and}{\text{v}}_{\text{2}}\text{,}{\text{a}}_{\text{2}}$  respectively, then