First slide

Moment of intertia

Question

A wheel comprises a ring of radius R and mass M and three spokes each of mass m. The moment of inertia of the wheel about its axis is

Moderate

A

$(M + \frac{m}{4}) R^{2}$
B

$(M + m) R^{2}$
C

$(M + 3 m) R^{2}$
D

$(\frac{M + m}{2}) R^{2}$

Solution

The moment of inertia,
$I = I_{ring} + 3 I_{spoke}$
$= M R^{2} + 3 (\frac{m R^{2}}{3}) = (M + m) R^{2}$

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