- #1

- 256

- 29

- Homework Statement
- See attached

- Relevant Equations
- x(t)=Ae^(i(wt+phi))

Since its critically damped that means k/m=(b/2m)^2, which would mean w=ib/2m. So m=ib/w. My issue now is that I need to find work.

I could put w back into x(t) to get Ae^((-b/2m)t+phi). I guess I could make this Acos((-b/2m)t+phi)). But I am kinda lost at this point. Sure, I could find the amplitude but I don't see how to get phi and if I am even approaching the question the right way. I haven't even used the spring constant after all.

The answer is suppose to be 0.614.

I could put w back into x(t) to get Ae^((-b/2m)t+phi). I guess I could make this Acos((-b/2m)t+phi)). But I am kinda lost at this point. Sure, I could find the amplitude but I don't see how to get phi and if I am even approaching the question the right way. I haven't even used the spring constant after all.

The answer is suppose to be 0.614.