A solid cylinder of mass (M=1 kg) and radius R=0.5 m is pivoted at its centre The axis of rotation of the cylinder is horizontal. Three small particles of mass (m=0.1 kg) are mounted along its surface as shown in figure. The system is initially at rest.
The angular speed of cylinder, when it has rotated through 90∘ in anticlockwise direction.
(Take g=10 m/s2)