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A block is released from rest at the top...

A block is released from rest at the top of an inclined plane which later curves into a circular track of radius `r` as shown in figure. Find the minimum height `h` from where it should be released so that it is able to complete the circle.

A

`(R )/(2)`

B

`(3R)/(2)`

C

`zero`

D

`(5R)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
speed of the block at `B,v=sqrt(2gh)`
top complete the vertical circle, `vgesqrt(5gR)`
`sqrt(2ghgesqrt(5gR)`
`hge(5R)/(2),h_(min)=(5R)/(2)`
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