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F = ma (Final Problems)
Dynamics
FMA-2007-30 · 2007 F = ma (AAPT)

2007 F = ma Exam — Question 30

Questions 28-30 A simplified model of a bicycle of mass M has two tires that each comes into contact with the ground at a point. The wheelbase of this bicycle (the distance between the points of contact with the ground) is w, and the center of mass of the bicycle is located midway between the tires and a height h above the ground. The bicycle is moving to the right, but slowing down at a constant rate. The acceleration has a magnitude a. Air resistance may be ignored. Case 1 (Questions 28 – 29): Assume that the coefficient of sliding friction between each tire and the ground is µ , and that both tires are skidding: sliding without rotating. Express your answers in terms of w, h, M, and g. 30. Assume that both tires are skidding: sliding without rotating. What is the maximum value of a so that both tires remain in contact with the ground? (5 pts)
Source: Question 30, 2007 F = ma Exam, © 2007 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.