Centre of mass, torque, angular momentum, moment of inertia, theorems of perpendicular and parallel axes, rolling motion.
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Q1 · Rotational Motion · EASY
The moment of inertia of a uniform circular disc of mass M and radius R about an axis passing through its center and perpendicular to its plane is:
Q2 · Rotational Motion · HARD
A solid sphere and a hollow sphere of the same mass and radius are released from rest at the top of an inclined plane. Which one reaches the bottom first?
Q3 · Rotational Motion · MEDIUM
A wheel of moment of inertia 0.5 kg·m² is rotating at 20 rad/s. The torque required to stop it in 10 seconds is: