Chapter 7: Problem 43
[Computer] Consider a massless wheel of radius \(R\) mounted on a frictionless
horizontal axis. A point mass \(M\) is glued to the edge, and a massless string
is wrapped several times around the perimeter and hangs vertically down with a
mass \(m\) suspended from its bottom end. (See Figure 4.28.) Initially I am
holding the wheel with \(M\) vertically below the axle. At \(t=0,\) I release the
wheel, and \(m\) starts to fall vertically down. (a) Write down the Lagrangian
\(\mathcal{L}=T-U\) as a function of the angle \(\phi\) through which the wheel
has turned. Find the equation of motion and show that, provided \(m
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.