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A cylinder of weight W and raidus R is t...

A cylinder of weight `W` and raidus `R` is to be raised onto a horizontal step of height `h=R//3` as shown. A rope is wrapped around the cylinder and pulled horizontally. Assuming no slipping, find the minimum value of `F` to raise the cylinder.

Text Solution

Verified by Experts

The correct Answer is:
`(Wsqrt(2gh-h^(2))/((2R-h))`
`d=sqrt(R^(2)-(R-h)^(2))=sqrt(2Rh-h^(2))`
Taking torque about `P, tau_(F)gttau_(W)`
For minimum `F, Wd=F(2R-h)`
or `F=(Wsqrt(2Rh-h^(2)))/((2R-h))`
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