- #1
Yann
- 48
- 0
1. Homework Statement and 2. Homework Equations
Find position/velocity of a mass m attached to a spring of constant k when subjected to an oscillatinf roce
[tex]
F(t) = F sin(Bt)
[/tex]
With [tex]B\not = \sqrt{k/m}[/tex]
Model;
[tex]
mx'' + kx = F \sin(Bt)
[/tex]
I have no idea if/how it can be solved (without a computer, of course). Because;
[tex]
mr^2 + k = 0
[/tex]
Gives
[tex]
r = ±\sqrt{-k/m}
[/tex]
As [tex]B\not = \sqrt{k/m}[/tex] it can't be an answer.
Find position/velocity of a mass m attached to a spring of constant k when subjected to an oscillatinf roce
[tex]
F(t) = F sin(Bt)
[/tex]
With [tex]B\not = \sqrt{k/m}[/tex]
The Attempt at a Solution
Model;
[tex]
mx'' + kx = F \sin(Bt)
[/tex]
I have no idea if/how it can be solved (without a computer, of course). Because;
[tex]
mr^2 + k = 0
[/tex]
Gives
[tex]
r = ±\sqrt{-k/m}
[/tex]
As [tex]B\not = \sqrt{k/m}[/tex] it can't be an answer.