Ten questions. The result tells you which lessons you may skip.
A hammer is thrown so that it spins as it flies. Air resistance is negligible. Which point of the hammer moves on a parabola?
A rod \(2.5\,\text{m}\) long leans on a smooth wall. Its foot is \(1.5\,\text{m}\) from the wall and slides away at \(0.4\,\text{m/s}\). How fast does the top slide down the wall at this instant?
A cabin hangs from the rim of a turning giant wheel and stays level all the way round. Its motion is
Two points of a turning disc are \(0.1\,\text{m}\) and \(0.3\,\text{m}\) from the fixed axis. The ratio of their angular velocities is
A \(1\,\text{kg}\) particle is at the point \((6\,\text{m}, 8\,\text{m}, 5\,\text{m})\). Its moment of inertia about the z axis is
A solid sphere and a thin spherical shell have the same mass and the same radius. About a diameter,
The radius of gyration of a thin ring of radius \(R\) about its central axis, perpendicular to its plane, is
A uniform disc of mass \(M\) and radius \(R\) turns about an axis perpendicular to it through a point of its rim. Its moment of inertia is
A uniform disc of mass \(M\) and radius \(R\) turns about one of its diameters. Its moment of inertia is
A concentric hole of radius \(R/2\) is cut from a uniform disc of radius \(R\) whose mass, before cutting, was \(M\). The mass of the plug removed is