Solve the problem as a Hong Kong Secondary School Physics teacher

5. Peter is riding a bicycle and turning round a bend of radius 4 m on a level road, he leans towards the center of circular path and makes an angle of 15 to the vertical. Given that the total mass of the Peter and the bicycle is 100 kg and the angular velocity of the circular motion is 2 rad s". (a) Draw a free-body diagram for the bicycle-cyclist system. (b) By referring to the diagram in (a), explain why Peter has to leans towards the center in order t make a turn. (c) Find the speed of the bicycle and hence the friction between the tyres and the road