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Kinetics of body

Rolling Motion

Now, we will discuss the other type of plane motion: motion of a disk or wheel rolling on a plane surface. If the disk is constrained to roll without sliding, the acceleration of its mass center and its angular acceleration or related. For a balanced disk i.e. for a disk whose mass center and geometrical center coincide, the acceleration of mass center is angular acceleration times the radius. Because the body is in plane motion, the kinetic diagram of the body consists of a horizontal force applied at the center and a couple.

When a disk rolls without slippling, there is no relative motion between the point of the disk in contact with the ground and the ground itself. The friction force F will be self adjusting with the limiting value of .