Problem 1.143

A pulley fixed to the ceiling carries a thread with bodies of masses $m_{1}$ and $m_{2}$ attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration $\mathbf{w}_{C}$ of the centre of inertia of this system.

\mathbf{w}_{C}=\mathrm{g}\left(m_{1}-m_{2}\right)^{2} /\left(m_{1}+m_{2}\right)^{2}

Laws of Conservation