Centre of mass, torque, angular momentum and moment of inertia.
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Q1 · Rotational Motion · HARD
A binary star system has two stars of equal mass M orbiting their common center of mass with period T. If the separation between them is d, the moment of inertia of the system about the rotation axis is:
Q2 · Rotational Motion · EASY
A planet rotates about its axis once every 10 hours. What is its angular velocity in rad/s?
Q3 · Rotational Motion · MEDIUM
A spherical asteroid of radius R and uniform density rotates with period T. For material on its equator to just remain on the surface, the minimum period is (where G is gravitational constant and ρ is density):