Problem 1.60

In the arrangement of Fig. 1.9 the masses \(m_{0}, m_{1},\) and \(m_{2}\) of bodies are equal, the masses of the pulley and the threads are negligible, and there is no friction in the pulley. Find the acceleration w with which the body \(m_{0}\) comes down, and the tension of the thread binding together the bodies \(m_{1}\) and \(m_{2},\) if the coefficient of friction between these bodies and the horizontal surface is equal to \(k\). Consider possible cases.

\mathbf{W}=\frac{m_{0}-k\left(m_{1}+m_{2}\right)}{m_{0}+m_{1}+m_{2}} \mathrm{~g}, T=\frac{(1+k) m_{0}}{m_{0}+m_{1}+m_{2}} m_{2} g

The Fundamental Equation of Dynamics