Determine the number of degrees of freedom in the following mechanical systems: (a) a compact disc in use (i.e., a rigid body revolving about a fixed axis—all points along the axis remain stationary), (b) a spinning top (i.e., a rigid body rotating about a fixed point—all points on the body may rotate except for the fixed point), (c) a crawling insect on the ground (i.e., a particle moving on a given surface

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.