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Dynamics of Rolling · Already know this?

Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

Already know this?

Ten questions. The result tells you which lessons you may skip.

1

A disc rolls without slipping down a rough slope. How much work does the friction on it do?

2

A rigid wheel rolls without slipping at a steady speed on a level road. The friction on it is

3

A solid sphere rolls without slipping down a slope of \(37°\), with \(\sin 37° = 0.6\). Take \(g = 10\,\text{m/s}^2\). Its acceleration is

4

A ring, a disc and a solid sphere roll down the same slope from rest together. The order of arrival is

5

A solid cylinder of mass \(4\,\text{kg}\) is pulled at its axle by \(12\,\text{N}\) and rolls on a level floor. The friction on it is

6

The rear wheel of a car that is speeding up feels a friction from the road that points

7

A uniform disc unwinds from a string wound on its rim, with the upper end held fixed. Its acceleration is

8

A solid ball is struck through its centre at \(7\,\text{m/s}\) with no spin. When it starts to roll without slipping, its speed is

9

A uniform disc of mass \(8\,\text{kg}\) and radius \(0.5\,\text{m}\) rolls without slipping at \(3\,\text{m/s}\). Its angular momentum about the point of the ground it touches is

10

A uniform rod \(0.9\,\text{m}\) long hangs from a hinge at its top. Where should it be struck so that the hinge gives no impulse?