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#1

$Old$ December 4th, 2008, 07:59 AM

BigPapa $BigPapa is offline$

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i am stuck on this problem. can anyone show me how to do it?

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#2

$Old$ December 4th, 2008, 08:03 AM

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By similar triangles, the width of the plate, in feet, at a depth of

$h(x)=(3+x) \;\ ft$

$\frac{w(x)}{10}=\frac{x}{4}$

$w(x)=\frac{5}{2}x$

$F=\int_{a}^{b}{\rho}h(x)w(x)dx=\int_{0}^{4}(30)(3+x)(\frac{5}{2}x)dx$

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$Old$ December 4th, 2008, 08:24 AM

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why is the h(x)=3+x?
i thought it would be 3-x
and how did you find w(x)?

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$Old$ December 4th, 2008, 08:54 AM

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actually i think im just looking at it different than you. where did you put the x and y axis on the picture? i see them with the x axis at the water level and the y axis splitting the triangle in half.

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