16. Angular Momentum

Which of the following expressions correctly gives the angular momentum of a particle of mass $m$ moving with velocity $v$ at a position vector $r$ relative to the origin?

A circular coil of radius $R$ and moment of inertia $I$ is placed in a uniform magnetic field $B$. The coil is free to rotate about its axis, which is perpendicular to the magnetic field. If a current $I$ (current, not moment of inertia) is suddenly started in the coil, what is the initial angular acceleration $\alpha$ of the coil just after the current is started?

Two turbines, A and B, are rotating at constant angular speeds. Turbine A has an angular speed of $\omega =2.0$ rad/s, and turbine B has an angular speed of $\omega =3.0$ rad/s. If both start at the same time, which turbine takes less time to rotate through an angular displacement of $1.0$ radian?

A block of mass $m$ is attached to a light string wound around a solid cylinder of mass $M$ and radius $R$. The cylinder rotates freely about its horizontal axis. When the block is released and descends, what is the magnitude $\alpha$ of the angular acceleration of the cylinder?

Which of the following best describes the difference between linear momentum and angular momentum?

Which of the following quantities contribute to the angular momentum of a spinning object?

When solid sphere 4 m in diameter spins around its central axis at 120 RPM, it has 1,000 kg m² / s in angular momentum. Calculate the sphere's mass.

A composite disc is built from a solid disc and a concentric, thick-walled hoop, as shown below. The inner disc has mass 4 kg and radius 2 m. The outer disc (thick-walled) has mass 5 kg, inner radius 2 m, and outer radius 3 m. The two discs spin together and complete one revolution every 3 s. Calculate the system's angular momentum about its central axis.

A computer disk drive is turned on starting from rest and has constant angular acceleration. Which equation correctly gives the angular displacement $\theta$ after time $t$?