- #1
whitejac
- 169
- 0
Homework Statement
Homework Equations
The response of a spring mass system can be simplified to equal:
x(t) = (x0 - (F0 / (k - mω2))cos(ωnt) + (x'/ωn)sin(ωnt) + (F0 / (k - mω2))cos(ωt)
where
x & x' are the initial conditions
ω is the exciting frequency
ωn is the natural frequency
k is the spring constant
m is the mass
and F0 is the amplification of the applied force
ωn = √(k/m)
The Attempt at a Solution
Given normal initial conditions, x = x' = 0
x(t) = - (F0 / (k - mω2))cos(ωnt) + (F0 / (k - mω2))cos(ωt)
and ωn = √(k/m) = 6.325rad / s
Is there a way to solve for F0 and ω?