First slide

Rolling motion

Question

A solid cylinder of mass M and radius R is rolled horizontally on a rough surface as shown in the figure. Choose the correct alternative(s)

Difficult

A

The acceleration of the centre of mass is F/M
B

The acceleration of the centre of mass is $\large \frac 23\frac FM$
C

The friction force on the cylinder acts forward
D

The magnitude of the friction force is F/3, backward

Solution

$\large F_{net}=F-f=Ma_c...(1)$
$\large \tau_{net}=f.R=\left ( \frac 12MR^2 \right )\alpha$
$\large \Rightarrow f=\frac 12MR\alpha...(2)$
Also, $\large a_c=\alpha R....(3)$
solving, f = F/3 (backward)

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