 #1
 64
 9
Homework Statement
Homework Equations
The Attempt at a Solution
I can solve everything but d). Please help
Attachments

83.3 KB Views: 464

7 KB Views: 496

4.6 KB Views: 472
I don't know how much is x(t)The damping coefficient is ## b ## in your formula. Do you know how to solve ## e^{\frac{b}{2m}t}=\frac{1}{2} ## for ## t ## ? .
The sinusoidal oscillation is assumed to happen at a much higher frequency with small damping, so that the period of the oscillation ## T ## is quite short, and you don't need to consider the term ## \cos(\omega t ) ##. The amplitude is ## A e^{ \frac{b}{2m} t} ##.I don't know how much is x(t)
Ok, thank you and what about x(t)The sinusoidal oscillation is assumed to happen at a much higher frequency with small damping, so that the period of the oscillation ## T ## is quite short, and you don't need to consider the term ## \cos(\omega t ) ##. The amplitude is ## A e^{ \frac{b}{2m} t} ##.
Yeah, I know how to proceed from here ## A e^{\frac{b}{2m} t}=\frac{1}{2} Ae^{\frac{b}{2m} 0} ##,. I got t=3.036s. I hope that this is correctNow, the next step is take the natural log of both sides of this last equation in order to solve for ## t ##. (It may be worthwhile for me to mention that, because I'm not sure how advanced you may be).