Rotational Motion
Centre of mass of a two-particle system, of a rigid body; basic concepts of rotational motion; moment of a force, torque, angular momentum; conservation of angular momentum; moment of inertia; parallel and perpendicular axes theorems; equations of rotational motion; rolling motion.
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Take a full mock →Q1 · Rotational Motion · EASY
A uniform rod of length 2 m and mass 4 kg is hinged at one end and free to rotate in a vertical plane. What is the moment of inertia of the rod about the hinge?
Q2 · Rotational Motion · EASY
Two particles of masses 2 kg and 3 kg are located at positions (1, 0) m and (0, 4) m respectively. What is the x-coordinate of the centre of mass of this system?
Q3 · Rotational Motion · MEDIUM
A uniform disc of mass 5 kg and radius 0.2 m is rotating about an axis passing through its centre and perpendicular to its plane with angular velocity 10 rad/s. A force of 2 N is applied tangentially at the rim for 5 seconds. What is the final angular velocity? (Assume no friction)
Q4 · Rotational Motion · MEDIUM
A solid sphere of mass 2 kg and radius 0.1 m rolls without slipping on a horizontal surface with a linear velocity of 5 m/s. What is the total kinetic energy of the sphere?
Q5 · Rotational Motion · HARD
A thin uniform rod of mass M and length L is free to rotate about a horizontal axis passing through a point at a distance L/4 from one end and perpendicular to the rod. What is the moment of inertia of the rod about this axis?