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In the following problems, indicate the ...

In the following problems, indicate the correct direction of friction force acting on the cylinder, which is pulled on a rough surface by a constant force `F`.
A cylinder of mass `M` and radius `R` is pulled horizontally by a force `F`. The friction force can be given by which of the following diagrams.
.

A

B

C

D

cannot be interpreted

Text Solution

Verified by Experts

The correct Answer is:
A
For pure rolling point of contact must be at rest

`v_(cm) + R omega = 0`
`a_(cm) + R alpha = 0 rArr a_(cm) + R(tau)/(I) = 0`
`(F + f)/(m) + R (Rf)/(I) = 0`
`f((I+ mR^(2))/(mI)) = -(F)/(m) rArr f = -(F)/(1 + (mR^(2))/(I))`
so `f` must be backward.
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