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Locally accessible dimensions of configuration space
I am reading a book called "Structure and Interpretation of Classical Mechanics"
by MIT Press.While discussing configuration space and degrees of freedom,the authors remark the following:
Strictly ...
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How much degree of freedom of a rigid body in $N$-dimensional space?
Well I have the answer it is
$\frac{N(N+1)}{2}$ but what the procedure to derive it .
I tried this.
1).I have $N$ number of translation freedom.
To calculate the number of rotational freedom I tried ...
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