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Dynamics of Rotation · 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 wheel of moment of inertia \(0.5\,\text{kg m}^2\) turns on a fixed axle. The net torque on it is \(2\,\text{N m}\). Its angular acceleration is

2

The forces between the particles of a rigid body turning about a fixed axis

3

A thin ring and a uniform disc of the same mass and radius turn on fixed axles. A rope at each rim is pulled with the same force. Compared with the ring, the disc gains angular velocity

4

A block hangs from a string wound on a heavy wheel on a fixed axle, and is falling with increasing speed. The tension in the string is

5

In an Atwood machine whose pulley is a heavy disc, \(m_1 > m_2\) and the string does not slip. The tensions \(T_1\) on the side of \(m_1\) and \(T_2\) on the side of \(m_2\) are related by

6

A uniform rod hinged at one end is released from rest in the horizontal position. At that instant its free end accelerates downward at

7

A uniform rod of weight \(W\), hinged at one end, is released from rest in the horizontal position. At that instant the hinge pushes up on it with

8

The angular velocity of a flywheel is doubled. Its kinetic energy becomes

9

A motor applies a torque of \(20\,\text{N m}\) to a shaft turning at \(10\,\text{rad/s}\). The power it delivers is

10

A uniform rod of length \(L\), hinged at one end, is released from the horizontal. As it passes the vertical, its angular velocity is