anonymous
  • anonymous
6. A mass suspended on a spring will exhibit sinusoidal motion when it moves. If the mass on a spring is 85 cm off the ground at its highest position and 41 cm off the ground at its lowest position and takes 3.0 s to go from the top to the bottom and back again, determine an equation to model the data.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
dampened or undampned?
anonymous
  • anonymous
undampened
amistre64
  • amistre64
the middle of top and bottom is our "y intercept" have the range of top to bottom is our amplitude do we pull it or push it to get it started?

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amistre64
  • amistre64
im thinking in sines; this thing starts in cosine tho
amistre64
  • amistre64
r = 85-41 y = r/2 cos() + n
anonymous
  • anonymous
amplitude=85-41 divided by 2=22 period=3sec y=22sin(2pi*t/3)
anonymous
  • anonymous
thats how i solved it but i dont know if its right
amistre64
  • amistre64
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amistre64
  • amistre64
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amistre64
  • amistre64
your +41 would indicate a -amplitude to start with
amistre64
  • amistre64
y = -44cos() + 41 if pulled down to start it y = 44cos() + 85 if pushed up to start it
amistre64
  • amistre64
.... great, now I gotta think lol when t=0; cos() = 1 so our +c should be the mid line; or average of 85 and 41 right?
amistre64
  • amistre64
y = +- 22cos(...) + 63 would account for up or down our range is 44, half that is the amplitude :)
anonymous
  • anonymous
thank you
anonymous
  • anonymous
okay im a bit confused so what would the final equations be?

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