A light rod of length L is hanging from the vertical smooth wall of a vehicle moving with acceleration `sqrt3g` along the horizontal plane having a small mass attached at its one end is free to rotate about an axis passing through the other end. The minimum velocity given to the mass at its equilibrium position with respect to the vehicle so that it can complete vertical circular motion is

Answer

8

Explanation

`g_("eff") = sqrt(g^(2) + a^(2)) = sqrt(g^(2) + 3g^(2)) = 2g`
`V_(min)` at equilibrium position `= sqrt(4g_(eff)l)`
`= sqrt(4(2g)l)`
`= sqrt(8gl)`