Question in comment...Non homogenous Second Order Diffe Q, Sping constant

Question

anonymous · Answer

Attached is a word document that has the Question on it. Just a heads up, This seems really tough....

anonymous · Answer

To find k i'm assuming you equated the spring force to gravitational force.
Relative to equilibrium if I recall correctly gravity has no influence
We know F = ma = my'' = -ky = F(t)
my'' + ky = F(t)
To solve the inhomogeneous equation a guess of a cosine will work.
The solution is the sum of the homogeneous solution plus the inhomogenious solution

anonymous · Answer

awesome thanks, i got the equations right based on what you said, I can probably get the rest now too, thanks