A table with smooth horizontal surface is fixed in a cabin that rotates with a uniform angular velocity `omega` in a circular pathof radius R. A smooth groove AB of length `L(ltltR)` is made on the surface of the table. The groove makes an angle` theta` with the radius OA of the circle in which the cabin rotates. A small particle is kept at the point A in the groove and is released to move along AB. Find the time taken by tehparticle to reach the point B.

Answer

`sqrt((2L)/(omega^(2)Rcos theta))`