All Problems

The Fundamental Equation of Dynamics

Problem 1.73

In the arrangement shown in Fig. 1.16 the bodies have masses \(m_{0}, m_{1}, m_{2},\) the friction is absent, the masses of the pulleys and the threads are negligible. Find the acceleration of the body \(m_{1}\). Look into possible cases.

Reveal Answer
w1=4m1m2+m0(m1m2)4m1m2+m0(m1+m2)g\mathbf{w}_{1}=\frac{4 m_{1} m_{2}+m_{0}\left(m_{1}-m_{2}\right)}{4 m_{1} m_{2}+m_{0}\left(m_{1}+m_{2}\right)} \mathbf{g}