All Problems

The Fundamental Equation of Dynamics

Problem 1.60

In the arrangement of Fig. 1.9 the masses m0,m1,m_{0}, m_{1}, and m2m_{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 m0m_{0} comes down, and the tension of the thread binding together the bodies m1m_{1} and m2,m_{2}, if the coefficient of friction between these bodies and the horizontal surface is equal to kk. Consider possible cases.

Reveal Answer
W=m0k(m1+m2)m0+m1+m2 g,T=(1+k)m0m0+m1+m2m2g\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