Question

A cube oh mass m and density D is suspended from the point P by a spring of stiffness k. The system is kept inside a beaker filled with a liquid of density d. The elongation in the spring assuming D>d is ?

Answer 1

Let downward force = buoyant force

= DVG - dvg

F = DVG [ 1 - d/D g]

F = mg [ 1- d/D]

$from \: \: \: f \: = \: kx \\ x = \frac{f}k \\ = \frac{mg}{k} \: \: 1 - \frac{d}{d}$