A stationary bicycle is raised off the ground, and its front
wheel (m = 1.56 kg) is rotating at an angular
velocity of 22.0 rad/s (see the figure). The front brake is then
applied for 4.86 s, and the wheel slows down to 2.65 rad/s. Assume
that all the mass of the wheel is concentrated in the rim, the
radius of which is 0.330 m. The coefficient of kinetic friction
between each brake pad and the rim is μk = 0.970.
What is the magnitude of the normal force
that each brake pad applies to the rim?