Show graphically/vector addition adding two waveforms

[Rian]

Homework Statement

We've been given an assignment in civil engineering with this question which we can't solve as the tutor hasn't explained it and has subsequently gone off sick with no replacement!

The question is to show graphically and by vector addition, the result of adding the two waveforms, such that:

v₁=200sin(ωt)

The problem is where the hell do we start with it?

Any help much appreciated!

Homework Equations

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The Attempt at a Solution

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[SteamKing]

Homework Statement

We've been given an assignment in civil engineering with this question which we can't solve as the tutor hasn't explained it and has subsequently gone off sick with no replacement!

The question is to show graphically and by vector addition, the result of adding the two waveforms, such that:

v₁=200sin(ωt)

The problem is where the hell do we start with it?

Any help much appreciated!

Homework Equations

.

The Attempt at a Solution

.

Your problem is still rather vague. What two wave forms are you trying to add together? Is V₁ one of the wave forms being added, or is it the sum?

In any event, this type of thing is done often, especially in electrical and electronic engineering. Heck, you can prolly even google it.

We practiced adding sinusoids in algebra class, and it can certainly be done point-to-point. IDK about using vector addition, since you are not dealing with vectors.

 

[Rian]

oh no! apologies, I thought I had copied the second part in - I was rushing, put a "D" on my head and put me in the corner lol

I should have put:

v1=200sin(ωt)

v2=200sin(ωt+π÷2)

I hope this helps!

 

[SteamKing]

oh no! apologies, I thought I had copied the second part in - I was rushing, put a "D" on my head and put me in the corner lol

I should have put:

v1=200sin(ωt)

v2=200sin(ωt+π÷2)

I hope this helps!

I trust that you can produce V₁ + V₂ graphically. Both waveforms have the same amplitude and period, although V₂ is shifted.

As far as adding two waveforms vectorially, the following may be of assistance to you:

http://scipp.ucsc.edu/~haber/ph5B/addsine.pdf

 

[Rian]

Thankyou, that looks very helpful indeed!