Which equation can be used to model simple harmonic motion? A. d=acos(wt) B. d=asin(wt)+k C. d=cos(awt) D. d=acos[w(t+k)] ****My answer: A is that right?? :)
sorry... here are the answer choices... :) answer choices A,B,C,D from top to bottom :)
what do y'all think? is A right? :)
no i don't mean you, i mean the person that made the question is making me sad
hahaha ohhh i see.. lol idk... :/ do u get it? does it look like i got it right?? i'm not 100% sure :/
i debate the wording of this question, but either way http://en.wikipedia.org/wiki/Harmonic_oscillator#Damped_harmonic_oscillator
Simple harmonic motion is Asin(omega t)
i would say d
how come? :/
oh we have a conflict.
hmm? ;/
@eSpeX you need a phase shift somewhere in there ... .
@jim_thompson5910
Well for the available answers, 'b' takes the shift into account.
that's a vertical shift ...
not a horizontal shift
if k in d is φ then its right
Then it has to be 'A' since the cos of theta is a shift of 90 from sin.
sorry without the parenthese
i'm confused lol :/
d is right if it is d=acos(wt + k) if k is φ
@eSpeX no wt cannot have a shift in it. w and t are expressions of a variable. variables cannot have operators inside in this
thats like saying x=y+2 in a taylor series expansion
Simple Harmonic Motion is A i believe
@doppler, but 'd' isn't wt+k, it is w(d+k)
@AnElephant you're not including a shift
@RONNCC A is cos(wt) which is sin(wt + 90)
yeah only a can be right
ueh i give up just put A. it depends on the kind of harmonic motion. the simplest simplest case would have the shift as 0 as you're taking it from where you want. thats why this question is bad
A is the basic form of a harmonic motion curve...
ooohhh okay.. so the answer is A? :/ and this question is officially and poorly made question? LOL
*Simple harmonic motion curve
just say A
oh okay hahaha thanks for all the help!!! i really appreciate it :)
technically A and D are the same thing
but D simplifies to A
assuming no shift
quoting textbook ''the complete general solution is x=A1cosωt + A2sinωt''
ohh they are? weird!!!
''if you have A1=Acosφ and Α2=-Αsinφ then substitution gives x=Acos(ωt + φ)''
so it is A with φ=0 but still a little vague as ron said
@iheartfood cos(x) = sin(x + Pi/2)
Yeah, my old textbook does not account for phase shifts in the simple harmonic motion chapter
oh okay.... thanks a bunch y'all :) yup i agree... this is vague :(
correct mathematically wrong physically
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