A cylindrical object of outer diameter 20 cm and mass 2 kg floats in water with its axis vertical. 1f it is slightly depressed and then released, find the time period of the resulting simple harmonic motion of the object.

Question

Philoid · Accepted Answer

Given, the diameter, d=20 cm. Therefore, radius is r=10 cm.

Let the object be displaced a distance “x” from its equilibrium.

Therefore, volume of the immersed object,

The buoyant force() would constitute the driving force. Let the density of water be .

Now, time period,

(ANS)