A cylinderical tank having cross sectional area ^^=0.5m^(2) is filled liquids of densities rho_(1)=900kgm^(3)&rho_(2)=600kgm^(3) to a height h=60cm as shown in the figure a small hole having area a=5cm^(2) is made in right vertical wall at a height y=20cm from the bottom calculate. (i). velocity of efflux (ii). horizontal force F to keep the cylinder in static equilibrium if it is placed on a smooth horizontal plane (iii). minimum and maximum value of F to keep the cylinder at rest. The coefficient of friction between cylinder and the plane is mu=0.1 (iv). velocity of the top most layer of the liquid column and also the velocity of the boundary separating the two liquids.

A cylinderical tank having cross sectional area ^^=0.5m^(2) is fille

1.	A cylinderical tank having cross sectional area ^^=0.5m^(2) is filled liquids of densities rho_(1)=900kgm^(3)&rho_(2)=600kgm^(3) to a height h=60cm as shown in the figure a small hole having area a=5cm^(2) is made in right vertical wall at a height y=20cm from the bottom calculate. (i). velocity of efflux (ii). horizontal force F to keep the cylinder in static equilibrium if it is placed on a smooth horizontal plane (iii). minimum and maximum value of F to keep the cylinder at rest. The coefficient of friction between cylinder and the plane is mu=0.1 (iv). velocity of the top most layer of the liquid column and also the velocity of the boundary separating the two liquids.
Answer» Answer :(i). `4m//s` (II). `F=7.2N` (III). `F_(min)=0,F_(max)=52.2N` (IV). Both `4XX10^(-3)m//s`