All Problems

The Fundamental Equation of Dynamics

Problem 1.76

In the arrangement shown in Fig. 1.19 the mass of body 1 is \(\eta=4.0\) times as great as that of body \(2 .\) The height \(h=20 \mathrm{~cm} .\) The masses of the pulleys and the threads, as well as the friction, are negligible. At a certain moment body 2 is released and the arrangement set in motion. What is the maximum height that body 2 will go up to?

Reveal Answer
H=6hη/(η+4)=0.6 mH=6 h \eta /(\eta+4)=0.6 \mathrm{~m}