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A solid sphere is rolling on a frictionl...

A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity `v m//s`. If it is to climb the inclined surface then `v` should be :

A

`ge sqrt((10)/(7) gh)`

B

`ge sqrt(2gh)`

C

`2gh`

D

`(10)/(7) gh`

Text Solution

Verified by Experts

The correct Answer is:
A
`(K.E.)_(T) + (K.E.)_(R ) ge P.E`
`(1)/(2)mv^(2) + (1)/(2)I omega^(2) gemgh`
`(1)/(2)mv^(2) + (1)/(2) ((2)/(5)mr^(2)) omega^(2) ge mgh`
`(7)/(10)mv^(2) ge mgh`
`v ge sqrt((10 gh)/(7))`
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