Circular Motion 2 (AQA A-Level Further Maths): Flashcards

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Vertical Circular Motion
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What varies in vertical circular motion

Angular velocity (omegaomega) and tangential velocity (vv)

Radial acceleration formula

v2r\frac{v^2}{r} or rω2r\omega^2

Energy at lowest point of vertical circle

Minimum GPE, maximum KE

Energy at highest point of vertical circle

Maximum GPE, minimum KE

What can light rod do that string cannot

Push (rod can push and pull; string only pulls)

Min speed for complete circle with light rod

umin=2gru_{\min} = 2\sqrt{gr} or 4gr\sqrt{4gr}

Min speed for complete circle with string

umin=5gru_{\min} = \sqrt{5gr}

Why string needs higher min speed than rod

String cannot push, only pull

When particle loses contact with surface

When normal reaction R=0R = 0

When to use energy equation in vertical circles

To find velocities at different heights

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