Rotational Motion
Centre of mass, torque, angular momentum and moment of inertia.
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Take a full mock →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):
Q4 · Rotational Motion · HARD
A pulsar rotates with angular velocity 100 rad/s. If it contracts uniformly to half its radius while conserving angular momentum, what is its new angular velocity?
Q5 · Rotational Motion · HARD
A neutron star with initial angular velocity ω₀ and moment of inertia I₀ collapses such that its radius becomes half. Assuming angular momentum is conserved, by what factor does its rotational kinetic energy increase?