A thin uniform rod of mass m and length I is hinged about end A and is free to rotate in a vertical plane as shown in the figure. If it is given a little push then ratio of magnitude of the centripetal acceleration of point B of rod when the rod is horizontal to that when B is in lowest position is `24/n`. What is the value of n ?

Answer

`48.00`

Explanation

COME `rArr mg l/2 = 1/2(ml^(2))/3 omega_(1)^(2)`
`rArr omega_(1)^(2) l = 3g`
`mgl = 1/2 (ml^(2))/3 omega_(2)^(2)`
`rArr omega_(2)^(2) l = 6g`