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Motion in a Vertical Circle · 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 bob on a string goes round a vertical circle. When the string is horizontal, the tension equals

2

A bob on a string \(1\,\text{m}\) long moves at \(6\,\text{m/s}\) at the lowest point. Take \(g = 10\,\text{m/s}^2\). Its speed when the string is horizontal is

3

A \(0.5\,\text{kg}\) bob on a string \(1\,\text{m}\) long moves at \(6\,\text{m/s}\) at the lowest point. Take \(g = 10\,\text{m/s}^2\). The tension there is

4

A stone on a string \(2.5\,\text{m}\) long moves in a vertical circle. Take \(g = 10\,\text{m/s}^2\). The least speed it needs at the top is

5

A bob goes all the way round a vertical circle on a string. The tension at the bottom exceeds the tension at the top by

6

A small block slides without friction down a ramp into a loop of radius \(2\,\text{m}\). The least starting height above the bottom of the loop is

7

A bob on a string of length \(r\) is launched from the lowest point with \(u^2 = gr\). It

8

A bob on a string of length \(r\) is launched from the lowest point with \(u^2 = 3gr\). The string goes slack at a height above the lowest point of

9

A ball fixed to a light rod \(0.9\,\text{m}\) long must go all the way round a vertical circle. Take \(g = 10\,\text{m/s}^2\). The least speed at the lowest point is

10

A small block is nudged from the top of a smooth sphere. It leaves the surface where the angle \(\varphi\) from the top satisfies