Help Needed: Simplifying Finite Product - Can You Help? • Physics Forums

Shevchenko · 2011-11-22T07:18:53+00:00

Hello Guys I could not simplify the finite product bellow to another expression I hope I get an answer from you guys Thank you

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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Help Needed: Simplifying Finite Product - Can You Help?

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