All Problems

The Fundamental Equation of Dynamics

Problem 1.82

In the arrangement shown in Fig. 1.24 the masses mm of the bar and MM of the wedge, as well as the wedge angle α,\alpha, are known. The masses of the pulley and the thread are negligible. The friction is absent. Find the acceleration of the wedge MM.

Reveal Answer
w=mgsinαM+2m(1cosα)w=\frac{m g \sin \alpha}{M+2 m(1-\cos \alpha)}