(a) In Example 12.7, does the force of static friction exerted on the rear wheel cause a torque on the wheel? If so, in which direction? If not, why not?

(b) In what direction is the sum of the torques on the rear wheel? What does this tell you about the relative magnitudes of the individual torques on the wheel?

Data from Example 12.7

As you accelerate from rest on a bicycle, how does the magnitude of the force of friction exerted by the road surface on the rear wheel compare with the magnitude of the force of friction exerted by the road surface on the front wheel? Ignore air resistance, assume both wheels have the same inertia \(m_{\mathrm{w}}\) and the same radius \(R\), and let \(m_{\text {comb }}\) be the combined inertia of you and your bicycle (including both wheels).