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Centre of mass of truncated sphere

Thread starter amjadmuhd
Start date Jun 28, 2009
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Centre of mass Mass Sphere Truncated

Jun 28, 2009

#1

amjadmuhd

Please help me in derivation of the cetre of mass of truncated sphere

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Jun 28, 2009

#2

tiny-tim

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amjadmuhd said:

Please help me in derivation of the cetre of mass of truncated sphere

Hint: divide the truncated sphere into discs of height dz … what is the mass of each disc?

Jun 28, 2009

#3

arildno

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He has already been given the answer to this question in a previous thread
https://www.physicsforums.com/showthread.php?t=305272

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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