Centre of mass, moment of inertia, torque, rotational dynamics.
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Q1 · Motion of System of Particles and Rigid Body · EASY
Moment of inertia of a uniform solid sphere of mass M and radius R about its diameter is:
Q2 · Motion of System of Particles and Rigid Body · EASY
A disc of moment of inertia 2 kg·m² rotates at 4 rad/s. Its angular momentum is:
Q3 · Motion of System of Particles and Rigid Body · EASY
A wheel with moment of inertia 5 kg·m² has angular acceleration 3 rad/s². The torque on it is:
Q4 · Motion of System of Particles and Rigid Body · EASY
Two particles of masses 2 kg and 3 kg are located at positions (1, 0, 0) m and (0, 2, 0) m respectively. The x-coordinate of the centre of mass of the system is:
Q5 · Motion of System of Particles and Rigid Body · MEDIUM
A uniform rod of length 2 m and mass 4 kg is hinged at one end and is free to rotate in a vertical plane. What is the moment of inertia of the rod about the hinge?