Discussion
A rigid body with one point fixed has :
Answer: A
A rigid body with one point fixed has three degrees of freedom.
A free rigid body in space has six: three for the position of a reference point and three for its orientation. Fixing one point removes the three translational ones, leaving the three rotational coordinates, usually the Euler angles \(\phi\), \(\theta\), \(\psi\). This is the setting of the spinning top and of Euler's equations of rigid-body motion.
Six is the free body. With two coordinates the body could not reach every orientation about the fixed point, and one degree of freedom is a body rotating about a fixed axis, which needs two fixed points, not one.
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