A 100 kg person rides a 180 kg motorcycle on a vertical circular track with radius 10.0 m, at a constant speed of 15.0 m/s (see figure). (a) Draw the free-body diagrams for the person-motorcycle system at the times shown in the figure (points 1, 2, 3, and 4), including the friction force. Consider point 4 as the instant at which the motorcycle is 45.0° from the highest point, point 3. (b) Determine the magnitude and direction of the normal force exerted by the track on the motorcycle at each of points 1, 2, 3, and 4 . (c) Determine the minimum coefficient of friction between the motorcycle tires and the track so that one full turn can be completed.

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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.