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Unformatted text preview: derivative: Then note that only depends on the generalized displacements so that Next the velocity vector is calculated: and then its partial derivative with respect to the generalized coordinates is calculated: If is twice differentiable, then this equation is the same as the equation for . Therefore, the second expression on the right hand side of this equation can be written as and then the chain rule is applied to the last expression to obtain the equation that we wished to prove:...
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 Fall '09
 Derivative, right hand

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