Question

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 1

Correct Answer - (i). `4m//s`
(ii). `F=7.2N`
(iii). `F_(min)=0,F_(max)=52.2N`
(iv). Both `4xx10^(-3)m//s`