A disc is rotating with ω =10rad/s about a fixed central axis which is perpendicular to its plane. The disc has a mass =2kg & radius =10cm. A small particle of mass 100gm is put slowly on the disc's outer circumference. There is sufficient friction between the disc and the particle. What will be the new angular velocity of the system?

MCQs on centre of mass and its motion, two vectors vector product, inertia moment, perpendicular and parallel axes theorems, kinematics and dynamics of rotational motion about fixed axis, rolling motion, rigid body equilibrium, torque and angular momentum.