Consider rider on a typical bicycle pedalling up a hill.Specifically, the case when the cyclist is using their body weightalone to apply the pedalling force. Draw a diagram of the situationthat you can analyse the system and answer the followingquestions:
a) Does the mass of the rider affect the acceleration of thebike (and rider) up the hill?
b) Is there an optimum ratio from pedal crank radius to rearwheel (including the chain drive ratio) that will maximise theacceleration?
c) Is there a maximum angle that the bike and rider could rideup?
d) How does the angle of the pedal affect the acceleration (ifat all)?
e) What coefficient of the friction is needed between the tireand the wheel to ensure no slipping?
Ignore air resistance and friction losses within the bike.
