Degrees of freedom

  • Thread starter ajayguhan
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Main Question or Discussion Point

How is for rigid body made up of n particle, the degree of freedom is 3n-nC2.i can understand that degree freedom of n particle is 3n and suppose you have 2 particle whose distance between them is fixed, then degree of freedom is n 3(2)-1=5.if we have three particles then it is 7.
Therefore n particle whose distance between them is fixed have degree of freedom which is 3n-(n-1) .how can it be 3n-.nC2.
 

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  • #2
UltrafastPED
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What is C2?
 
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It does not matter how many particles a rigid body is made of (except when all of them are collinear). It always has 6 degrees of freedom. 3 rotational (Euler angles), and 3 translational. All-collinear rigid bodies, even though the term "body" is hardly applicable here, lose one rotational DoF.
 

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