All Problems

Laws of Conservation

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.

Reveal Answer
wC=g(m1m2)2/(m1+m2)2\mathbf{w}_{C}=\mathrm{g}\left(m_{1}-m_{2}\right)^{2} /\left(m_{1}+m_{2}\right)^{2}