Passage XIV) A uniform cylindrical block of mass 2M and cross-sectional area A remains
Channel: Doubtnut
Date: 2020-08-30

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) img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/MPP_PHY_C11_E01_149_Q01.png" width="80%"By what maximum distance cylinder will be pushed downward into the liquid from equilibrium position so that when it is set free then tension in the string will not vanish [Assume at equilibrium position system was at rest]