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anonymous

  • one year ago

find centroid of the region found in first quadrant bounded by y=sqrt(1-x^2),y=0,x=0 does this just basically make it not balance so that I have to find xbar and ybar? using their formulas

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  1. dm91
    • one year ago
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    this question is confusing

  2. anonymous
    • one year ago
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    are xbar and ybar anything other than 0?

  3. dm91
    • one year ago
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    what do you think it is?

  4. anonymous
    • one year ago
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    well I think none are going to be zero. I was looking at my notes and don't know how my teacher was able to determine xbar to equal zero just by looking at the problem.

  5. ganeshie8
    • one year ago
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    You need to find the coordinates of the center of mass : |dw:1442386634593:dw|

  6. ganeshie8
    • one year ago
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    \[\overline{x} = \dfrac{1}{A} \iint xdA =\dfrac{1}{\pi/4} \int\limits_0^1 x\sqrt{1-x^2}\, dx = ?\] \[\overline{y} = \dfrac{1}{A} \iint ydA = \dfrac{1}{\pi/4}\int\limits_0^1 \frac{1-x^2}{2}dx=?\]

  7. anonymous
    • one year ago
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    I understand that, what I need help with is , how do I know if xbar or ybar will be 0 just by looking at it?

  8. ganeshie8
    • one year ago
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    neither of them could be 0, forget math. look at the region, where do you expect the center of mass to lie ?

  9. ganeshie8
    • one year ago
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    |dw:1442387249476:dw|

  10. ganeshie8
    • one year ago
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    somewhere around here : |dw:1442387453637:dw|

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