UnkleRhaukus
  • UnkleRhaukus
Perpendicular Simple Harmonic Oscillators A particle is simultaneously subjected to two perpendicular simple harmonic oscillators of the same frequency, 112 Hz. If the amplitude and phase constant of one oscillator is 0.64mm and 21° respectively, and the other is 0.16mm and 83°, determine the resultant amplitude at 9.8 seconds.
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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IrishBoy123
  • IrishBoy123
|dw:1442320340503:dw|
IrishBoy123
  • IrishBoy123
just like a phasor?
IrishBoy123
  • IrishBoy123
sorry they're orthogomal let's think

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UnkleRhaukus
  • UnkleRhaukus
uhm
IrishBoy123
  • IrishBoy123
|dw:1442320936419:dw|
UnkleRhaukus
  • UnkleRhaukus
¿it flipped
IrishBoy123
  • IrishBoy123
ie, i'd be looking to use \(A_1 e^{i (\omega t + \delta_1)} + i \ A_2 e^{i (\omega t + \delta_2)} \) if i could make it work
IrishBoy123
  • IrishBoy123
because crunching \(\sqrt{ A_1^2 cos^2 (\omega t + \delta_1) + A_2^2 cos^2 (\omega t + \delta_2) }\) would be a pain
UnkleRhaukus
  • UnkleRhaukus
is that the amplitude
UnkleRhaukus
  • UnkleRhaukus
oh , i see it flipted because they are perpendicular!
IrishBoy123
  • IrishBoy123
yes but it proves the idea is totally totally hair brained i think, and mixes up 2 ideas. the flip just adds a phase shift to the second shm but is modelling them in 1 dimension i have searched the web and no one is using phasors for shm, except in 1 dimension, which makes sense i suppose. http://www.wolframalpha.com/input/?i=sqrt+%28%280.16+cos+%282+*pi+*+112+*+9.8+++%2B+83%2Fpi+%29+%29%5E2%2B+%280.64+cos+%282+*pi+*+112+*+9.8+++%2B+21%2Fpi+%29%29%5E2%29
UnkleRhaukus
  • UnkleRhaukus
http://www.wolframalpha.com/input/?i=sqrt+%28%280.64+sin+%282+*pi+*+112+*+9.8+++%2B+21%C2%B0+%29+%29%5E2+%2B+%280.16+sin+%282+*pi+*+112+*+9.8+++%2B+83%C2%B0+%29%29%5E2%29
UnkleRhaukus
  • UnkleRhaukus
1 Attachment
UnkleRhaukus
  • UnkleRhaukus
i solved it this way, with the aid of the phasor graph, i've assumed sines whereas you've got cosines,
IrishBoy123
  • IrishBoy123
holy moley that's interesting can't ope the attachment but i will definitely go back and study this again thx
UnkleRhaukus
  • UnkleRhaukus
i drew the ellipse
UnkleRhaukus
  • UnkleRhaukus
|dw:1442404085179:dw|

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