Two ideal springs of same make (the springs differ in their lengths only) have been suspended from points A and B such that their free ends C and D are at same horizontal level. A massless rod PQ is attached to the ends of the springs. A block of mass m is attached to the rod at point R. The rod remains horizontal in equilibrium. Now the block is pulled down and released. It performs vertical oscillations with time period `T =2 pi sqrt((m)/(3k))` where k is the force constant of the longer spring.
(a) Find the ratio of length RC and RD.
(b) Find the difference in heights of point A and B if it is given that natural length of spring BD is L.

Answer

`(a) (RC)/(RD)=(2)/(1) , (b) L`.