Zero Amplitude Damped Simple Harmonic Motion with k=0.7s^-1 and f=3Hz

[Timburton91]

Homework Statement

Damped Simple Harmonic Motion

Relevant Equations

x(t)=e^-kt cos(2πft)

Hi guys sorry if this is the wrong thread,
I have a damped simple harmonic motion pictured below, i have to find the inerval t=0 and t=1 for which the amplitude of x(t) is considered to be zero.

The behaviour of the graph below can be described as e^-kt cos(2πft)

k=0.7s^-1 and f= 3Hz

 

[Gaussian97]

I don't really understand the question, what makes more sense to me is to compute the values $t_0$ and $t_1$ that are the two smallest positive solutions to the equation $$x(t)=0$$ is this your question?

 

[Timburton91]

Not really man, as, i guessed that would be zero.

I don't really understand the question, what makes more sense to me is to compute the values $t_0$ and $t_1$ that are the two smallest positive solutions to the equation $$x(t)=0$$ is this your question?

 

[PeroK]

Not really man, as, i guessed that would be zero.

What do you think the question is asking?

 

[Gaussian97]

Not really man, as, i guessed that would be zero.

Then, could you please explain to me what is exactly the question? I'm sorry, but I don't understand the question you post in #1.

 

[haruspex]

The use of "amplitude " in the question may be misleading. In terms of the expression $e^{-kt}\cos(2\pi ft)$, the amplitude is $e^{-kt}$. This is never actually zero. I suggest the intended question is to find when the displacement x(t) is zero.