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I Surface integral

  1. Jul 7, 2016 #1
    in part b , we can find mass by density x area ?
    is it because of the thin plate, so, the thickness of plate can be ignored?
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  2. jcsd
  3. Jul 7, 2016 #2

    BvU

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    There is no ignoring the thickness going on. The density function is a function of only two variables (*), so it provides mass/area, not mass/volume.

    (*) as pointed out with the z=f(x,y) callout
     
  4. Jul 7, 2016 #3
    so, z=f(x,y) provide info that density depends on 2 variables only????
     
  5. Jul 7, 2016 #4

    BvU

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    Yes $$\rho(x,y,z) = \rho(x,y,3-x-y) = \rho(x,y) $$it is multiplied with something of dimension length2 so ##\rho## has the dimension mass/area
     
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