Chapter 11.4, Problem 2E

(a)

To determine

To show: The angular velocity of the mass $\left(m\right)$ in a pendulum is $0$ when $\theta =-{\theta }_0$ if initially the mass is released from rest at $\theta ={\theta }_0$.

(b)

To determine

To show: The expression period of the pendulum $T$ is the is $T=\sqrt{\frac{l}{2g}}{\displaystyle {\int }_{-{\theta }_0}^{{\theta }_0}\frac{1}{\sqrt{\cos \left(\theta \right)-\cos \left({\theta }_0\right)}}d\theta }$.