A solid sphere of mass m, suspended through a string in a liquid as shown. The string has some tension. Magnitudes of net force due to liquid on upper hemisphere and that on lower hemisphere are FA and FB respectively. Which of the following is/are true.

Engineering

Physics

Equilibrium

Buoyancy

Free Body Diagram

Question

A solid sphere of mass m, suspended through a string in a liquid as shown. The string has some tension. Magnitudes of net force due to liquid on upper hemisphere and that on lower hemisphere are F_A and F_B respectively. Which of the following is/are true.

F_B – F_A = mg

Density of material of the sphere is greater than density of liquid.

F_B – F_A < mg

Difference of F_B and F_A is dependent of atmospheric pressure.

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There is some tension (say T)
F_A (downward) & F_B (upward)

F_B + T = F_A + mg
∴ F_B – F_A = mg – T

F_B – F_A < mg