A 60 kilogram person is on a steadily rotating ferries wheel. The person is standing on a bathroom scale and the scale reads 45 kilogram at the top of the wheel. Take g=10 m/s squared.
a) Find what does the scale read when the person is at the bottom of the wheel?
b) Find what does the scale read when the person is level with the hub of the wheel going up? Suppose there is sufficient friction that the person's feet do not slide off the scale.
c) Find what coefficient of friction is needed to keep the person's feet on the scale in (b)?