Ten questions. The result tells you which lessons you may skip.
A plate moves on a smooth floor. Its centre moves at \(3\,\text{m/s}\) along \(+x\), and it turns anticlockwise at \(2\,\text{rad/s}\). A point of the plate lies \(2\,\text{m}\) from the centre along \(+x\). Its speed is
Measured about its centre of mass, a tumbling plate turns at \(4\,\text{rad/s}\). Measured about one of its corners, it turns at
A point O of a plate moves at \(3\,\text{m/s}\), and the plate turns at \(6\,\text{rad/s}\). The instantaneous axis is at a distance from O of
The particle of a body that lies at the instantaneous axis at some instant has
A bicycle moves at \(5\,\text{m/s}\) on wheels of radius \(0.25\,\text{m}\) that roll without slipping. The angular velocity of a wheel is
The centre of a wheel moves at \(5\,\text{m/s}\) while its rim turns at \(\omega R = 3\,\text{m/s}\) in the rolling sense. The wheel
A car moves at \(36\,\text{km/h}\) on tyres that roll without slipping. Relative to the road, the top of each tyre moves at
A wheel rolls without slipping at a steady speed. The acceleration of its contact point is
In one full turn, a point on the rim of a rolling wheel of radius \(0.5\,\text{m}\) travels a path of length
A uniform disc of mass \(1\,\text{kg}\) rolls without slipping at \(2\,\text{m/s}\). Its kinetic energy is