Ten questions. The result tells you which lessons you may skip.
Particles of mass \(1\,\text{kg}\) and \(3\,\text{kg}\) are \(8\,\text{m}\) apart. Their centre of mass is
Three equal masses sit at \((0, 0)\), \((6, 0)\) and \((0, 3)\), in metres. Their centre of mass is at
A rod of length \(L\) has a linear mass density \(\lambda = kx\), where \(x\) is the distance from one end. Its centre of mass is at a distance from that end of
A uniform triangular plate stands on one side, and its height above that side is \(9\,\text{cm}\). Its centre of mass is above that side by
A uniform wire is bent into a semicircle of radius \(R\). Its centre of mass lies on the axis of symmetry, from the centre of the semicircle, at
A uniform solid hemisphere has a radius of \(8\,\text{cm}\). Its centre of mass is on its axis, above the centre of its flat face, at
A circular hole of radius \(R/2\) is cut from a uniform disc of radius \(R\), touching its rim. The centre of mass of the remaining plate is
Blocks of \(2\,\text{kg}\) and \(3\,\text{kg}\), joined by a spring, rest on a smooth floor. A steady \(10\,\text{N}\) force pulls one of them. While the spring stretches, the acceleration of their centre of mass is
A \(60\,\text{kg}\) man walks \(3\,\text{m}\) along a \(90\,\text{kg}\) boat at rest on still water. Ignore water resistance. The boat moves back by
A shell flying along a parabola bursts into two unequal fragments. While both fragments are still in the air, their centre of mass