Physics 19 Mechanical Waves (13 of 21) The Interference of Waves (Opposite Directions)
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- เผยแพร่เมื่อ 30 ก.ย. 2013
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In this video I will show you how to develop the interference of waves equation traveling in the opposite directions.
Who do we not represent the other wave (y2) as sin(kx+wt+O/) since it's the same graph moved in the negative direction some x earlier than y1.
I've never heard this material presented like this! 😊
Glad you like the methods. 🙂
but we r deriving the standing wave equation by adding both y1 and Y2 so how do we know that it only depends on Kx and wt respectively.... really confused plz help nd also Y2 isn't a standing wave
i don't really see how that trigonometric identity makes it any simpler. in fact, i think it adds needless complications to what would otherwise be an easily understandable A(sina+sinb). just seems strange you'd want to morph it in this way.
why is there no phase difference..ø..
Is the the amplitude is building up and down as stacking at same point as the time passes ?
+Manzoor Muhammed
the amplitude will go up and down at the antinodes, but will remain stationary at the nodes.
Hey :). Great videos you have sir.. Quick question why is there no phase difference I'm this one?
Mykl
When waves travel in opposite directions, they will set up a standing wave pattern, with nodes and anti-nodes that remain in the same location. The equations show why that happens.
Should the section (4th line down) be "..cos 1/2 (kx-wt-kx+wt).." and that they all cancel out to give cos(0) = 1 in that part? You have .. kx-wt-kx-wt instead.. Brilliant series of video's by the way!
Brian Sweeny
The video is correct.(kx-wt-kx-wt)
Michel van Biezen Oh yes..you even double check on the video..sorry racing through the video's by noting down the problems then answering (checking at the end) for my upcoming exam..you're a god send Prof Van Biezen..thanks!
Great Series ...
Glad you liked it.
where is phase angle in second equation?
With a standing wave the sin function only depends on position and cos function only depends on the frequency.