Show that if c1 and c2 are any constants, the functionx = x(t) = c1 cos km t+ c2 sin km
Chapter 8, Problem 35(choose chapter or problem)
Show that if \(c_{1}\) and \(c_{2}\) are any constants, the function
\(x=x(t)=c_{1} \cos \left(\sqrt{\left.\frac{k}{m} t\right)}+c_{2} \sin \left(\sqrt{\left.\frac{k}{m} t\right)}\right.\right.\)
is a solution to the differential equation for the vibrating spring. (The corresponding motion of the spring is referred to as simple harmonic motion.)
Equation Transcription:
Text Transcription:
c_1
c_2
x = x(t) =c_1 cos (sqrt frac{k}{m} t) + c_2 sin (sqrt frac{k}{m} t).
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