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Viper5

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Trying to understand why my solution doesn't give correct answer from prob 50.5 in MERM Practice Problems. 

Problem asks for Ix of parabola given as y^2=x from 0 to 9 (x) and 0 to 3 (y).  Answer is 32.4in^4.

My solution is Ix=integral(y^2 dA).  I define dA as g(y) dy fron Eqn 50.4 and since g(y)= y^2, I setup problem as Ix=intrgral(y^4 dy from 0 to 3).  This yields a much larger number. How is my setup wrong?

 
Assuming your area is /under/ the curve, your g(y) should be: 9-y^2

I just worked this out and get 32.4.

 
Ok thanks. I guess using x=y^2 is incorrect then. 
Yes. If you think of dA as a strip of height dy, and width stretching from the curve to the vertical line at X=9, then it may make more sense why the function is 9-y^2.

 
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