- #1

brotherbobby

- 669

- 159

**Problem :**

A cylinder of mass ##M## and radius ##R## rotates with an angular velocity ##\omega_1## about an axis passing through its centre of symmetry. Two small masses each of mass ##m## (small in comparison to the radius of the cylinder) are glued to either of the two circular faces of the cylinder right on its axis of rotation. The cylinder-mass system now rotates with an angular velocity ##\omega_2##.

Is ##\omega_2## greater than, less than or equal to ##\omega_1##?

**Relevant equations :**

The moment of inertia of the solid cyliner is ##\frac{1}{2} MR^2##.

**My attempt :**

The two small masses do not increase the moment of inertia of the cylinder, being point masses. Hence ##\omega_2## = ##\omega_1##