Chapter 5, Problem 54CP

(a)

To determine

The tension in each section of the string.

(b)

To determine

The angle ${\theta }_2$ in terms of ${\theta }_1$.

(c)

To determine

To show: The distance between the endpoints of the string is $\frac{L}{5}\left[2\cos {\theta }_1+2\cos \left({\tan }^{-1}\left(\frac{\tan {\theta }_1}{2}\right)\right)+1\right]$

Introduction: The tension in the string is defined as the force exerted by the string when it is subjected to pull.