Discussion
The degrees of freedom of a rigid body are :
Answer: D
A rigid body has 6 degrees of freedom.
A free rigid body in space is fixed by the position of one of its points, three coordinates (translation), and by its orientation about that point, three angles such as the Euler angles (rotation). Equivalently, three non-collinear points have 9 coordinates tied by 3 distance constraints, leaving \(9 - 3 = 6\).
1 is a body rotating about a fixed axis, 2 a particle on a surface, and 3 a free particle in space or a rigid body with one point fixed.
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