Count the number of degrees of freedom in the following mechanical systems: Aspinning 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)
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