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A track consists of two circular parts A...

A track consists of two circular parts `ABC` and `CDE` of equal radius `R` and joined smoothly as shown. Each part subtends an angle `2theta` at center. A vehicle of mass `m` travels with constant force by the road on the vehicle when it is at (i) `B` (ii) `D` (iii) just before `C` and (iv) just after `C`. (b) find the friction by the track on the vehicle when it is at `B`, `C` and `D`. (c) what should be the minimum friction coefficient between the road and the vehicle, which will ensure that cyclist can move with constant speed.

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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 ?

A track consists of two circular pars ABC and CDE of equal radius 100 m and joined smoothly as shown in figure.Each part subtends a right angle at its centre. A cycle weighing 100 kg together with 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

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