Structure and Interpretation of Classical Mechanics

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From equation (1.112), we see that must be linear in the generalized velocities

where neither nor depend on the generalized velocities: .

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So if is the total time derivative of then

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For each of the following functions, either show that it is not a total time derivative or produce a function from which it can be derived.

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[guess]

**a**.

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Let

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Then

[guess]

— Me@2022-06-17 05:10:38 PM

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2022.06.17 Friday (c) All rights reserved by ACHK