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@dan815 could you plz give me a quick tuition on this topic, i'm really struggling here :(
@abb0t can you please help me????
ok i need to learn from the ABC for the concept!!!
ok so i know that when two waves interfere with each other they produce either, constructive waves if the waves are over the equilibrim or destructive waves if under the equilibrium.
the only thing i'm struggling to understand is that fact that how do i know what shape the two waves will produce when collide with each other....like how do i do my calculations??
depending how the waves interacted and waves can vary in energy too
there is no concept of energy here, just the types of collisions and what shape it'll produce and in what direction!!!
but not all waves are the same nor collide in two manners only
but what is for sure is that fact that there are only two options given to me so therefore all the questions are related to either constructive or destructive waves.....btw how do i calculate the resultant displacement of the two waves...
could you please do a quick drawing of at least one of the examples?!?!!??!
@peachpi please help me
I know this is generally more complex, but do they maybe just want you to add/subtract here?
http://www.physicsclassroom.com/class/waves/Lesson-3/Interference-of-Waves superposition drawing near bottom
yes but since these are "shapes", i'm struggling to understand how do i calculate the resultant displacement. i know the first one is construction and the second one is neither construction or destruction, i'll be a wave since crest and trough cancel out each other.
do you still need help?
is it that same picture up at the top
yes the picture at the top is the qestion, how do i calculate the resultant displacement in figure 1.
i know when two waves interact with each other, the form a superposition where the crest of both waves are combined but how do i put that into a mathematical form?!?!?!?!
okay now linear Superposition principle can be summarized byt this equation f(x+y)=f(x)+f(y) we say such an equation follows the principle of Lin sup pos
can you please just do one question in drawing?!?!?!!? i'll do the rest.
um okay so its not exactly the crests that are combines its all the heights everywhere
interesting please go on!!!
in this case it'll be zero since A = highest - lowest /2
how tho?????? :O
okay what we do is look at every x values and add the 2 heights there
ok so do we come up with our own numbers here to calculate eveything
i thought crest would cancel out trough and the remaining (rectangle) would continue to move in the right direction.
how come yours is different from the picture
ok assume that the rectangle is touching the sin wave...sorry my bad.
we add 1 to everywhere on that wave
ok so to do my calculations, do i just make up my own numbers, i mean height
ill draw on the pic
ok please slow down for a sec.
please answer my questions before you proceed with the qestion.....i want to clearfy everything first.
so to do all the calclations, do i make up my own numbers, i mean when i draw those diagrams on the graph, to calculate the dispalcement???
well they gave u only pictures so answer with a picture
and please tell me the main rule/ recipe
but the picture is not on scale.
ok so that means we don't need to draw it on the graph paper????
i dont know
can you solce without the need of graph paper????
okay main thing is the form is this f(x)= k + k*sin(x)
you are adding to like a sin(x) looking wave
its not really a sine wave, just making that up
ok so how do we utilize the equation to find the displaceent
@dan815 ok so i add 1 and then what?
lets start over
ok i see.
but how do you know how high is that???? since there are no numbers given
ok so you brought everything on the positive side of the equilibrium....nice!!
by adding 1
there are no numbers
ok i see.
ok what's next.
u tell me
honestly if i knew i'dn't be here. but give me some time to take a guess!!!
you add crest of both waves!!!
the question is done
but the question asks me to "determine the resultant wave" so what do i say?!?!?!?
btw how would the final wave look like if we're to actually draw the resultant wave!!
what happened to the green magenta rectangle, weren't you suppose to add that height as well.
because the rule says, when two waves collide, they make constructive wave!!!
OMG i kinda understood what you did there.....!!!
ok i got it......!!!
ok so what would happen to the first one?!???!
since both are on the positive side of the equilibrium......do you just stack the inner box on the outer box?!?!?!?! yes i think SO
@dan815 please check if i did that right?!?!?!?
ill give u a problem do it to the best of your ability
so for the first question do you just stack the inner black box on top of the dotted box?!?!?!
what is the result of these 2?
wait is that a V or a triangle?!?!?!?
okay try another one
hold on damn it... let me think :"D LOL
ok so for this, you add 1 to the "U" thing to create a constructive wave, so i'll be on top of that weird figure.|dw:1436164542171:dw|
|dw:1436164670586:dw| you add 1
|dw:1436164695260:dw|you add 1 LOL
|dw:1436164718280:dw|you add 1
@dan815 All done!!!! :"D
can't believe i spent an entire day on this silly concept!!! Thanks you and Love you to death for helping me out. GOD BLESS YOU.