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Angular Momentum · 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 particle has momentum \(6\,\text{kg m/s}\) at a distance of \(4\,\text{m}\) from a point O. The angle between \(\vec r\) and \(\vec p\) is \(30°\). Its angular momentum about O is

2

A \(0.5\,\text{kg}\) particle moves at a steady \(4\,\text{m/s}\) along a straight line that passes \(3\,\text{m}\) from a point O. Its angular momentum about O

3

A \(0.1\,\text{kg}\) particle moves on a circle of radius \(0.5\,\text{m}\) at \(2\,\text{m/s}\). Its angular momentum about the centre is

4

A thin ring and a uniform disc of the same mass and radius spin at the same angular velocity about their central axes. Compared with the disc, the ring has

5

A spinning system changes its shape, so its moment of inertia changes. Which relation still holds?

6

A flywheel with \(I = 2\,\text{kg m}^2\) starts from rest. A torque of \(6\,\text{N m}\) acts on it for \(3\,\text{s}\). Its angular velocity is then

7

A rod on a smooth table is pivoted at one end. The same short blow strikes it first at its middle, then at its free end. Struck at the end, the rod starts turning

8

A skater with no external torque on her halves her moment of inertia. Her angular velocity

9

For the same skater, her kinetic energy of rotation

10

A ball strikes a rod hinged at the ceiling and sticks to it. Through the impact, the quantity conserved is