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A body kept on a smooth horizontal surfa...

A body kept on a smooth horizontal surface is pulled by a constant horizontal force applied at the top point of the body. If the body rolls purely on the surface, its shape can be-

A

thin pipe

B

uniform cylinder

C

uniform sphere

D

thin spherical shell

Text Solution

Verified by Experts

The correct Answer is:
A
For translation motion of `C.M`
`a = (F + f)/(m)`
for roational motional about `C.M` of
`R(F - f) = I alpha`
` alpha = ( R)/(I) (F - f)`
For pure rolling
`a = R alpha`
`(F + f)/(m) = (R^(2))/(I) (F - f)`
`f(1 +(mR^(2))/(I)) = F((mR^(2))/(I) -1)`
`f = ((mR^(2) -I))/(mR^(2) + I) F`
For ring//thin pipe `I = mR^(2)`, so `f = 0`
therefore for rolling of ring//thin pipe does not need friction.
.
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