(Harmonic oscillator with nonlinear damping) Repeat Part 1

Chapter , Problem 3

(choose chapter or problem)

(Harmonic oscillator with nonlinear damping) Repeat Part 1 using the equation m d2 y dt2 + b dy dt dy dt + ky = 0 in place of the usual harmonic oscillator equation. (Note that even with the same value of the parameter b, the drag forces in this equation and the equation in Part 2 have the same magnitude only for velocity 1. Also, note that the sign of the term dy dt dy dt is the same as the sign of dy/dt, hence this damping force is always directed opposite the direction of motion. The difference between this equation and that in Part 2 is the size of the damping for small and large velocities. One of the many examples of situations for which this is a better model than linear damping is the drag on airplane tires from wet snow or slush. Drag from only four inches of slush was enough to cause the 1958 crash during take-off of the plane carrying the Manchester United soccer team. Currently, large airplanes are allowed to take off and land in no more than one-half inch of wet snow or slush.

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back