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A track consister of two circular parts ...

A track consister of two circular parts ABC and CDE of equal redius `100m` and joined smoothly as shown in Fig .Each part subtends a right angle at its center A cycle weighing `100 kg` together with the rider travels constant speed of `18 kmh^(-1)` on the track

a. Find the normal contact force by the road on the cycle when it is at B and at D.
b. Find the force of friction exerted by the track on the tyres when the cycle is at B,C and D.
c. Find the normal force between the road and the cycle just before and just after the cycle crosses C
d. What should be the minimum friction coefficient between the mad road and the tyre , which will ensure that the cyclist can move with constant speed ?

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