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The effect of Coulomb friction on phase portraits, illustrated first with a spring-mass system, sliding along a surface with friction. Generally, friction makes isolate equilibrium points into conti…
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Classroom Contents
Friction and Phase Portraits - Coulomb Friction - Cone of Friction - Falling Broom - Spinning Top
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- 1 We start out with some descriptions of Coulomb's experiments and observations, including the important parameter the coefficient of friction
- 2 The cone of friction is described
- 3 Live experiments to determine the coefficient of friction for various materials in contact, using a ramp that can tilt
- 4 We summarize Coulomb's law of friction in one formula and show how the idealized law differs from realistic friction, which has some dependence on the relative velocity of the two materials
- 5 The effect of Coulomb friction on phase portraits, illustrated first with a spring-mass system, sliding along a surface with friction. Generally, friction makes isolate equilibrium points into conti…
- 6 Another example, with a bead in a whirling tube with friction present
- 7 Example of falling broom, falling ladder or the idealized falling baton. Once the baton releases from the wall, the degrees of freedom jumps from 1 to 2, and the dynamics changes discontinuously (no…
- 8 Spinning symmetrical top is analyzed. Inspired by experiments, we consider the different types of motion: spin, precession, and nutation. Using conserved angular momenta and the Routh procedure, thi…
