An equilateral prism of mass m is kept on a smooth table between two identical springs each having a force constant of k. The two springs have their lengths perpendicular to the inclined faces of the prism and are constrained to remain straight. The ends of the springs have light pads aligned parallel to the faces of the prism, and distance between pads and the incline faces is d. The prism is imparted a velocity v to the right. Find time period of its oscillation.

Answer

`(8d)/(sqrt(3v))+4pi sqrt((m)/(3k))`