First slide

Angular momentum

Question

The angular momentum of a particle performing uniform circular motion is L. If the kinetic energy of particle is doubled and frequency is halved, then angular momentum becomes

Moderate

A

$\frac{L}{2}$
B

2L
C

$\frac{L}{4}$
D

4L

Solution

$L = Iω K = \frac{1}{2} {Iω}^{2} 2 K = \frac{1}{2} I^{'} {(\frac{ω}{2})}^{2}; \frac{1}{2} = \frac{I}{I^{'}} (4) I^{'} = 8 I; L = (8 I) (\frac{ω}{2}) = 4 Iω \Rightarrow L = 4 L$

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