A point mass m is connected with ideal i...

A point mass m is connected with ideal inextensible string of length l and other end of string is tied at point O as shown in the figure. The string is made horizontal and mass is released from point A to perform vertical circular motion. There is a nail at point N such that ON =r . Find the value of r so that mass m is able to just perform complete vertical circular motion about point N.

`( l )/( 2+ 2 cos beta)`

`( 3 l )/( 3+ 2 cos beta)`

`( l ) /( 3+ 2 sin beta)`

`( 3l )/( 2 + 2 sin beta)`

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