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A tangential force F acts at the top of ...


A tangential force `F` acts at the top of a thin spherical shell of mass `m` and radius `R`. Find the acceleration of the shell if it rolls without slipping.

A

Acceleration of disc = 2F/3m

B

Friction force between disc and surface = 2F/3

C

Acceleration of disc = 6F/5m

D

Friction force between disc and surface is F/3

Text Solution

Verified by Experts

The correct Answer is:
D
Equation regarding translatory motion
F+f=ma……………(i)
Equation regarding rotational motion
`FR-fR = (mR^(2))/(2) a/R`…………..(ii)
From equation (i) and (ii)
`2F = (3"ma")/(2)` or `a=(4F)/(3m)`
Also, `F+f = (m4F)/(3m)`
`f=4/3F-F=F/3`
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