First slide

Vertical circular motion

Question

A simple pendulum of length ‘l’ carries a bob of mass m. If the breaking strength of the string is 2 mg, the maximum angular amplitude from the vertical can be

Easy

A

0⁰
B

30⁰
C

60⁰
D

90⁰

Solution

When the bob moves from extreme position to mean position , it loses its potential energy and gains kinetic.Energy , speed of the bob becomes maximum and tension induced in the string also becomes maximum,
.: 1/2 mV²_max = mgh = mgl (1- cos θ)
⇒ mV² _max /l = 2mg (1- cosθ)
T_max = mg + mV² _max / l
⇒ 2mg = mg + 2mg (1-cos θ )
⇒ cos θ = 1/2 ⇒ θ = 60⁰

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App