Question

A simple pendulum with a bob of mass m swings with an angular amplitude of ${40}^0$. When its angular displacement is ${20}^0$, the tension in the string greater than $mgcos{20}^0$.

• A. True
• B. False

Answer 1

The correct option is A True

REF.Image.

Initially pendulum at ${40}^{\circ }$

then its comes at ${20}^{\circ }$ afe ${20}^{\circ }$ angular displacement

Let T tension in the string

are to diagram

$Tcos{20}^{\circ }=mg$

$T=\frac{mg}{cos{20}^{\circ }}>mgcos{20}^{\circ }$