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A particle originally at rest at the hig...

A particle originally at rest at the highest point of a smooth vertical circle is slightly displaced. It will leave the circle at a vertical distance `h` below the highest points, such that `h` is equal to

A

`R`

B

`(R)/(4)`

C

`(R)/(2)`

D

`(R)/(3)`

Text Solution

Verified by Experts


`h=R-Rcostheta,v=sqrt(2gh)=sqrt(2gR(1-costheta))`
`mgcostheta-N=(mv^(2))/(R)`
When it leaves circle: `N=0`
`mgcostheta=(mv^(2))/(R)impliescostheta=(2)/(3)`
`h=R-Rcostheta=(R)/(3)`
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