First slide

Rolling motion

Question

A sphere rolls without slipping on an incline of inclination θ. The minimum coefficient of static friction to support pure rolling is to be

Moderate

A

$\large \frac 23Tan\theta$
B

$\large \frac 25Tan\theta$
C

$\large \frac 27Tan\theta$
D

$\large \frac 37Tan\theta$

Solution

For pure rolling
$\large \mu >\frac {tan\theta}{1+\frac {mR^2}{I_C}}$
$\large \therefore \mu_{min} =\frac {tan\theta}{\left ( 1+\frac {R^2}{K^2} \right )} =\frac {tan\theta}{\left ( 1+5/2 \right )}=\frac 27tan\theta$

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