How to Find the Curvature of r(t)? • Physics Forums

carl123 · 2015-09-17T04:04:42+00:00

Find the curvature. r(t) = 9t i + 5 sin(t) j + 5 cos(t) k

Thread 'How does time derivative commute from one variable to another?'

I'm reviewing Meirovitch's "Methods of Analytical Dynamics," and I don't understand the commutation of the derivative from r to dr: $$ \mathbf{F} \cdot d\mathbf{r} = m \ddot{\mathbf{r}} \cdot d\mathbf{r} = m\mathbf{\dot{r}} \cdot d\mathbf{\dot{r}} $$

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MHB How to Find the Curvature of r(t)?

Thread 'How does time derivative commute from one variable to another?'

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