Back to Problems
F = ma (11–17)
Dynamics
FMA-2011-16 · 2011 F = ma (AAPT)

2011 F = ma Exam — Question 16

Questions 16 and 17 refer to the information and diagram below. Jonathan using rope to lift a box with Becky in it; the box is hanging offthe side of a bridge, Jonathan is on the top. A rope is hooked up from the box and passes a fixed railing; Jonathan holds the box up by pressing the rope against the rail- ing with a massless, frictionless physics textbook. The static friction coefficient between the rope and railing is µs; the kinetic friction coefficient between the rope and railing is µk < µs; the mass of the box and Becky combined is M; and the initial height of the bottom of the box above the ground is h. Assume a massless rope. Becky Loose rope Floor Jonathan, pushes rope fixed hard railing on book against 16. What magnitude force does Jonathan need to exert on the physics book to keep the rope from slipping?
Source: Question 16, 2011 F = ma Exam, © 2011 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.