A mass m is attached to the end of a spring whose constant
Chapter 5, Problem 35E(choose chapter or problem)
A mass m is attached to the end of a spring whose constant is k. After the mass reaches equilibrium, its support begins to oscillate vertically about a horizontal line L according to a formula h(t). The value of h represents the distance in feet measured from L. See Figure 5.1.21.
a) Determine the differential equation of motion if the entire system moves through a medium offering a damping force that is numerically equal to \(\beta(d x / d t)\).
(b) Solve the differential equation in part (a) if the spring is stretched 4 feet by a mass weighing 16 pounds and \(\beta=2, h(t)=5 \cos t, x(0)=x^{\prime}(0)=0\).
Text Transcription:
beta(dx/dt)
beta=2,h(t)=5costx(0)=x^prime(0)=0
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