(a) Demonstrate that six degrees of freedom exist in a rigid body with three or more mass points. Remember to emphasise what makes a rigid body unique and why we need just six dynamical variables to explain the motion. (b) Specifically, what are these six degrees of freedom? (c) Is the selection unusual? In terms of uniqueness, you need examine both the coordinate system and the origin

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(a) Demonstrate that six degrees of freedom exist in a rigid body with three or more mass points. Remember to emphasise what makes a rigid body unique and why we need just six dynamical variables to explain the motion. (b) Specifically, what are these six degrees of freedom? (c) Is the selection unusual? In terms of uniqueness, you need examine both the coordinate system and the origin.

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