Justify that different points of a rolling wheel execute simple and complex motion.
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Solution
The motion of a wheel is considered the rolling motion.
The rolling motion is a combination of transnational and rotational motion.
As we have discussed rolling motion is the combination of transnational and rotational motion so transnational motion is simple motion and rotational motion is complex motion.
In the rolling motion a point on the edge undergoes transnational motion along with the COM and rotational motion with respect to the center of mass.