Ten questions. The result tells you which lessons you may skip.
A block of mass \(100\,\text{g}\) oscillates on a smooth floor at the end of a spring of constant \(10\,\text{N/m}\). Its period is
A load hung on a spring stretches it by \(10\,\text{cm}\) at rest. Take \(g = 10\,\text{m/s}^2\). The period of its vertical oscillation is
A block oscillates on one spring. A second, identical spring is joined to it end to end, in series, and the block hangs from the pair. The period becomes
A simple pendulum \(0.4\,\text{m}\) long swings through small angles. Take \(g = 10\,\text{m/s}^2\). Its period is
A pendulum has period \(T\) in a lift at rest. The lift then accelerates downward at \(g/2\). The period becomes
A thin ring of radius \(R\) hangs on a nail through its rim and swings in its own plane. It has the same period as a simple pendulum of length
A disc twists to and fro on a wire. A second disc with twice the moment of inertia is hung on the same wire. Its period is
The liquid column in a U-tube is \(0.8\,\text{m}\) long, measured along the tube. Take \(g = 10\,\text{m/s}^2\). The period of its oscillation is
Two straight tunnels are drilled through a uniform Earth: one through the centre, one along a short chord between two cities. A ball dropped into each, with no friction, reaches the far end
A body moves in SHM with amplitude \(A\). At the displacement \(x = A/2\), the fraction of its total energy that is kinetic is