Rotational Mechanics
Torque, angular momentum, moment of inertia, rolling motion.
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Take a full mock →Q1 · Rotational Mechanics · HARD
A uniform rod of length L and mass M is pivoted at one end and released from horizontal position. When it reaches the vertical position, the angular velocity ω and the hinge reaction R at the pivot are respectively:
Q2 · Rotational Mechanics · HARD
A uniform solid cylinder of mass M and radius R is set into rotation about its axis with angular velocity ω₀. It is then placed on a rough horizontal surface (coefficient of friction μ). The time taken for pure rolling to begin is:
Q3 · Rotational Mechanics · HARD
A uniform solid cylinder of mass M and radius R rolls without slipping down a rough inclined plane. The ratio of its rotational kinetic energy to its total kinetic energy at any instant is:
Q4 · Rotational Mechanics · MEDIUM
A uniform solid cylinder of mass M and radius R rolls without slipping down a rough inclined plane of inclination θ. What is the acceleration of the center of mass of the cylinder?