3 ms·
> Consider a cart rolling to a stop. Its motion obeys the DE v̇=−k⋅v, where v is velocity, v̇ is the rate-of-change of velocity and k is a 'coefficient of frict
by mdturnerphys 11y ago
> Consider a cart rolling to a stop. Its motion obeys the DE
v̇=−k⋅v, where v is velocity, v̇ is the rate-of-change of velocity and k is a 'coefficient of friction.'
This is drag, not friction. Friction doesn't depend on velocity.
- NLips 11y agoRolling resistance normally has a component proportional to speed as well as a constant component. (Aerodynamic) drag is normally modeled as proportional to v^2
- mdturnerphys 11y agoSure, there can be a component, but "coefficient of friction" usually refers to the velocity-independent term (the author even links to the Wikipedia article for it). At low speeds drag is proportional to velocity.