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Standard XII

Physics

Impulsive Forces in Collision

A uniform sol...

Question

A uniform solid cylinder of density $8 g / c m^{3}$ floats in equilibrium in a combination of two non-mixing liquids A and B with its axis vertical. The densities of liquids A and B are $0.7 g / c m^{3}$ and $1.2 g / c m^{3}$ , respectively. The height of liquid A is $h_{A} = 1.2 c m$ . The length of the part of the cylinder with liquid B is $h_{B} = 0.8 c m$ and $h = .2 c m$ . Find the total force exerted by liquid $A$ on the cylinder:

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Solution

Liquid $A$ exerts horizontal forces on all area elements from all directions. By symmetry, the resultant of these horizontal forces is zero. So the total force exerted by liquid $A$ on the cylinder is zero.

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Liquid A exerts horizontal forces on all area elements from all directions. By symmetry, the resultant of these horizontal forces is zero. So the total force exerted by liquid A on the cylinder is zero.

Liquid $A$ exerts horizontal forces on all area elements from all directions. By symmetry, the resultant of these horizontal forces is zero. So the total force exerted by liquid $A$ on the cylinder is zero.