(a) Prove that in a rigid body, with three or more mass points, has six degrees of freedom. Remember to point out what is so special about a rigid body and why we need only six dynamical variables to describe the motion. (b) What are these six degrees of freedom explicitly? (c) Is the choice unique? With regard to uniqueness, you should consider the choice of coordinate system as well as the choice of origin.

(a) Prove that in a rigid body, with three or more mass points, has six degrees of freedom. Remember to point out what is so special about a rigid body and why we need only six dynamical variables to describe the motion. (b) What are these six degrees of freedom explicitly? (c) Is the choice unique? With regard to uniqueness, you should consider the choice of coordinate system as well as the choice of origin.