A light rod length `L`, is hanging from the vertical smooth wall of a vehicle moving with acceleration `sqrt(3)g` 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 vehicle so that it can complete vertical circular motion respect to vehical) is `sqrt(KgL)`. Find the value of `K`.

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)`