A bicycle wheel has radius R = 32.0 cm and mass M = 1.82 kg which you may assume to be concentrated on the outside radius. A resistive force f = 100 N (due to friction with the ground) is applied to the rim of the tire. A force F is applied to the sprocket at radius r by the bicycle chain such that the wheel has an angular acceleration of alpha(a) = 4.50 rad/s2. The tire does not slip with the ground, and the lower part of the chain (not shown) exerts no force.
What is the combined mass of the bicycle and rider?
Hint: The force F also acts on the front sprocket of the bicycle.