## Sketch the response of a system(bode plot given) to two inputs

Hi all

My attempt on this question is that i can calculate the damping ratio from the magnitude diagram, approximately 0.16
I can't do more than that, please help. I will be grateful even if you pointing me a direction solving this.
cheers

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 Quote by legolegoyoyo Hi all Please help me with this question, thanks a lot. My attempt on this question is that i can calculate the damping ratio from the magnitude diagram, approximately 0.16 I can't do more than that, please help. I will be grateful even if you pointing me a direction solving this. cheers
Hint: What type of signals (waveforms) are the inputs? What are the basic defining characteristics of such signals?

 Recognitions: Gold Member Your two input plots are the same. Are they intended to be continuous or stop at t = 10? If continuous the answer should bite you on the nose. If truncated at 10 sec. then you have a bigger challenge. Tell us which, and what happened to the second input plot.

## Sketch the response of a system(bode plot given) to two inputs

thank you for the reply, the question asks to draw response on the input diagram.

 Quote by gneill Hint: What type of signals (waveforms) are the inputs? What are the basic defining characteristics of such signals?
hi
I'm not sure what information should i get from the bode plot and the input signal to sketch the response.

to your question, the signal is sine wave form

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 Quote by legolegoyoyo hi I'm not sure what information should i get from the bode plot and the input signal to sketch the response. to your question, the signal is sine wave form
What parameters define a sinewave?

 Quote by gneill What parameters define a sinewave?
Hi
period, amplitude,

 Recognitions: Homework Help I doubt that the question is asking for you to draw a waveform that is a composite of two. I'd say you are to first consider one of the inputs and plot the corresponding output on the same set of axes as that input. Then as a separate question, consider the other signal as input, and sketch the corresponding output, again on the same plot as the input so you can demonstrate the phase difference. There is no requirement to determine damping ratio, that I can see. Are you right to go now, legolegoyoyo?

 Quote by NascentOxygen I doubt that the question is asking for you to draw a waveform that is a composite of two. I'd say you are to first consider one of the inputs and plot the corresponding output on the same set of axes as that input. Then as a separate question, consider the other signal as input, and sketch the corresponding output, again on the same plot as the input so you can demonstrate the phase difference. There is no requirement to determine damping ratio, that I can see. Are you right to go now, legolegoyoyo?
there is an equation from my lecture notes,

y(t)=AMsin(ω0t+∅)
the 2 input signal graph are just 2 different input, and the question requires to sketch on them individually
my understanding to this equation is,

y(t) is the response wave
A is the amplitude of the input signal
M is the magnitude read from the bode diagram(magnitude diagram) at the frequency of ω0
ω0 is the frequency(in rad/s) read from the input signal and convert to rad/s by multiply the frequency(in Hz) with 2$\pi$
∅ is the angle read from bode diagram(phase diagram) at the frequency of ω0
then i just substitute all the values i got into the equation y(t) to get the response wave plot

cheers mate!

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 Quote by legolegoyoyo Hi, thanks for the reply, its very helpful there is an equation from my lecture notes, y(t)=AMsin(ω0t+∅) the 2 input signal graph are just 2 different input, and the question requires to sketch on them individually my understanding to this equation is, y(t) is the response wave A is the amplitude of the input signal M is the magnitude read from the bode diagram(magnitude diagram) at the frequency of ω0 ω0 is the frequency(in rad/s) read from the input signal and convert to rad/s by multiply the frequency(in Hz) with 2$\pi$ ∅ is the angle read from bode diagram(phase diagram) at the frequency of ω0 then i just substitute all the values i got into the equation y(t) to get the response wave plot Im i correct? Please comment cheers mate!
Yup, it looks like you're on your way. One thing though, make sure that you understand precisely what the Bode plot "Magnitude" is...

 Quote by gneill Yup, it looks like you're on your way. One thing though, make sure that you understand precisely what the Bode plot "Magnitude" is...
Thank to you for your hints

for the quote, did you mean i need to anti log the reading from magnitude bode diagram

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 Quote by legolegoyoyo Thank to you for your hints for the quote, did you mean i need to anti log the reading from magnitude bode diagram
When you're drawing a bode magnitude diagram, what expression are you plotting against angular frequency?

 Quote by gneill When you're drawing a bode magnitude diagram, what expression are you plotting against angular frequency?
20logK

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 Quote by legolegoyoyo 20logK
And what's K in this context?

 Quote by gneill and what's k in this context?
10m/20

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 Quote by legolegoyoyo 10m/20
Perhaps I should have been more specific; I wasn't looking for you to isolate K but rather to state what K represents in the given formula.

 Tags bode, input, output, response, sketch