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Best_Mathematician

what is the vector function that models the behavior

  • 11 months ago
  • 11 months ago

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  1. Best_Mathematician
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    last two questions...cant understand

    • 11 months ago
  2. phi
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    Didn't you already do this ? you have a sin t that you want to rotate faster to make it rotate twice as fast, use sin(2t) (and cos(2t) ) and keep everything else the same.

    • 11 months ago
  3. Best_Mathematician
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    ya but last 2

    • 11 months ago
  4. phi
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    as I remember, in the first part, the hoop has a diameter of 2, and a radius of 1 for the next part, I think you want a hoop with 1/2 the diameter, so its mark hits the floor twice as often. that means its radius will be 1/2 and its diameter 1

    • 11 months ago
  5. Best_Mathematician
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    ok so whats the answer for d?

    • 11 months ago
  6. phi
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    r=(t- 0.5*sin(2t) ) i + (0.5 - 0.5 cos(2 t)) j

    • 11 months ago
  7. Best_Mathematician
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    is that d???

    • 11 months ago
  8. phi
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    I think so

    • 11 months ago
  9. Best_Mathematician
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    ya i gatcyu...so how should i graph that ???

    • 11 months ago
  10. phi
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    I don't know what graphing tools you have.

    • 11 months ago
  11. Best_Mathematician
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    wolframalpha

    • 11 months ago
  12. Best_Mathematician
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    i know upto here but how to plot themm

    • 11 months ago
  13. Best_Mathematician
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    http://www.wolframalpha.com/input/?i=parametric+plot

    • 11 months ago
  14. phi
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    see http://www.wolframalpha.com/input/?i=parametric+plot+r%3D+%5B+%28t-+0.5*sin%282t%29+%29++%2C+%280.5+-+0.5+cos%282+t%29%29+%5D+and++r%3D+%5B+t+-+sin%28t%29%2C+1-cos%28t%29%5D+for+t%3D0+to+6pi for the plot of the position vectors for the two hoops

    • 11 months ago
  15. Best_Mathematician
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    thx

    • 11 months ago
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