Chapter 10, Problem 90CP

(a)

To determine

To show: The radius $r$ of a given portion of the track is given by $r=r_{\text{i}}+\frac{h\theta }{2\pi }$.

(b)

To determine

To show: The rate of change of the angle $\theta$ is given by $\frac{d\theta }{dt}=\frac{v}{r_{\text{i}}+\left(h\theta /2\pi \right)}$

(c)

To determine

The expression for the angle $\theta$ as a function of time.

(d)

To determine

The angular acceleration of the disc as a function of time.