Count the number of degrees of freedom in the following mechanical systems: A spinning top (i.e., a rigid body rotating about a fixed point; all points of the body can rotate except for the point on the body that is fixed), a compact disc (i.e., a rigid body rotating about a fixed axis; all points in the body that lie along the axis are not moving), and a crawling insect all fall into the first category (i.e., a particle moving on a given surface)

Count the number of degrees of freedom in the following mechanical systems: A spinning top (i.e., a rigid body rotating about a fixed point; all points of the body can rotate except for the point on the body that is fixed), a compact disc (i.e., a rigid body rotating about a fixed axis; all points in the body that lie along the axis are not moving), and a crawling insect all fall into the first category (i.e., a particle moving on a given surface)