Consider the damped forced motion described by d2 y dt2 + c m dy dt + k m y = F0 m cos
Chapter 8, Problem 31(choose chapter or problem)
Consider the damped forced motion described by d2 y dt2 + c m dy dt + k m y = F0 m cos t. We have shown that the steady-state solution can be written in the form yp(t) = F0 H cos(t ), where cos = m(2 0 2) H , sin = c H , 0 = k m , H = m2(2 0 2)2 + c22. Assuming that c2/(2m22 0) < 1, show that the amplitude of the steady-state solution is a maximum when = 2 0 c2 2m2 . [Hint: The maximum occurs at the value of that makes H a minimum. Assume that H is a function of , and determine the value of that minimizes H.]
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