Passage XIV) A uniform cylindrical block of mass 2M and cross-sectional area A remains partially submerged in a non viscous liquid of density `rho`, density of the material of the cylinder is `3rho`. The cylinder is connected to lower end of the tank by means of a light spring of spring constant K. The other end of the cylinder is connected to anotehr block of mass M by means of a light inextensible sting as shown in the figure. The pulleys shown are massless and frictionless and assume that the cross-section of the cylinder is very small in comparison to that of the tank. Under equilibrium conditions, half of the cylinder is submerged. [given that cylinder always remains partially immersed)
If the cylinder is pushed down from equilibrium by a distance which is half the distance as calculated in the above question, determine time period of subsequent motion.
A. `(2pisqrt((3M)/(2(K+Arhog)
B. `(2pisqrt(M/(2K+Arhog))`
C. `2pisqrt((3M)/(K+Arhog))`
D. `2pisqrt((2M)/(K+3Arhog))`
