Structure and Interpretation of Classical Mechanics

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A particle of mass slides off a horizontal cylinder of radius in a uniform gravitational field with acceleration . If the particle starts close to the top of the cylinder with zero initial speed, with what angular velocity does it leave the cylinder?

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Along the tangential direction,

Assuming there is only air friction,

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If the air resistance equals ,

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Along the normal direction,

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where is the normal reaction force.

So

This equation is not useful yet, because is still not known. So we keep using the original equation:

Let

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— Me@2023-05-23 11:02:25 AM

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2023.05.25 Thursday (c) All rights reserved by ACHK

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