Test Preparation on JEE Mains Rotational Motion Paper (I)-2018

The initial angular velocity of a circular disc of mass M is ω1. Then two small spheres of mass m are attached gently to diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?

The minimum velocity (in ms–1) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction 0.6 to avoid skidding is [2002]

A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms–1) through a small hole on the sidewall of the cylinder near its bottom is [2002]