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A solide homogeneous cylinder of height ...

A solide homogeneous cylinder of height `h` and base radius `r` is kept vertically on a conveyer belt moving horizontally with an increasing velocity `v=a+bt^(2)`. If the cylinder is not allowed to slip then the time whem the cylinder is about to topple , will be equal to

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The correct Answer is:
(a) `(mug)/(2b) , (b) (gr)/(bh)`

`(dv)/(dt) = 2bt`
`mu g = 2 bt`
`t = (mu g)/(2b)`
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