1.

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.

Answer» When the block reaches at `B`,its velocity `v=sqrt(2gh)`.
To complete the verticle circle, the velocity of block should be at least `sqrt(5gR)`
`vgesqrt(5gR)`
`sqrt(2gh)gesqrt(5gR)`
`hge(5R)/(2)`
`h_(min)=(5R)/(2)`


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