Problems
MediumPhysElo Quiz #3
21.Rolling to Slipping Transition
+10
A solid cylinder of mass and radius is placed on a long horizontal board of mass . The board is placed on a frictionless horizontal floor. The coefficients of static and kinetic friction between the cylinder and the board are and respectively, with . The system is initially at rest.
A constant horizontal force is applied to the central axis of the cylinder, directed to the right. Which of the following graphs best describes the acceleration of the board as a function of the applied force ?
A increases linearly from zero, then makes a discontinuous step jump down, then remains constant.
B increases linearly from zero, then makes a discontinuous step jump up, then continues to increase linearly with a steeper slope.
C increases linearly from zero, then makes a discontinuous step jump down, then continues to increase linearly with a shallower (but non-zero) slope.
D increases linearly from zero, then shows a kink downward with no discontinuity, continuing to increase linearly with a shallower slope.
E remains zero until a threshold force is reached, then jumps up and increases linearly.
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