A body initially rest and sliding along ...

A body initially rest and sliding along a frictionless trick from a height `h` (as shown in the figure) just completes a vertical circle of diameter `AB = D`. The height `h` is equal to

`(7)/(5) D`

`(5)/(4) D`

`D`

`(3)/(2) D`

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Verified by Experts

The correct Answer is:

Velocity of ball at `A, v = sqrt(2 gh)`
To complete vertical circle, `v ge sqrt(5 gR)`
So, `sqrt(2 gh) ge sqrt(5 g. (D)/(2))`
or `h ge (5 D)/(4)`
Hence, `h_(m i n) = (5 D)/(4)`

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