The centroid of the half-ellipse-shaped-cross-sectional area shown is given by: 4 Ye 9 - 25m9-y² dy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The centroid of the half-ellipse-shaped-cross-sectional area shown is given by:
-5
4
9-y dy
Ve =
25л
5
Calculate y..
• Trapezoidal Method
• Simpsons 1/3
For each integration method use a spacing of 0.1. Beside, make the plot of the
function f(x) vs x. In this case, f(x) is the function that will be integrated. In order
to find it consider c=\int f(x)dx. Compare it with the formula in the problem and
then determine f(x).
Transcribed Image Text:The centroid of the half-ellipse-shaped-cross-sectional area shown is given by: -5 4 9-y dy Ve = 25л 5 Calculate y.. • Trapezoidal Method • Simpsons 1/3 For each integration method use a spacing of 0.1. Beside, make the plot of the function f(x) vs x. In this case, f(x) is the function that will be integrated. In order to find it consider c=\int f(x)dx. Compare it with the formula in the problem and then determine f(x).
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