Answer to Question #58068 in Mechanics | Relativity for rutvik

Question

A track consists of two circular parts ABC and CDE of
equal radius 100 m and joined smoothly as shown in
figure (7-E1). Each part subtends a right angle at its
centre. A cycle weighing 100 kg together with the rider
travels at a constant speed of 18 km/h 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 road and the tyre, which will ensure that the cyclist can move with constant speed ?Take g= 10 m/s^2