A large container has a sliding vertical wall of height H so as to divide it into two parts. The partition wall is connected to the left container wall by an ideal spring of force constant k. when the spring is relaxed the dimentsions of the floor of the right part is Lxxb. Now water (density `rho`) is slowly poured into the right chamber. what is the maximum volume of water that can be stored in the right chamber without spilling it into the other part. The partition wall slides without friction.

Answer

`Hb(L+(rhogbH^(2))/(2K))`