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Simpson's

Simpson's

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The force on a sailboat mast can be represented by the following function: f(2)=200 (5)22/ where = the elevation above the deck and H= the height of the mast. The total force F exerted on the mast can be determined by integrating this function over the height of the mast: F="f3 dz The line of action can also be determined by integration: főzf(z) dz Sof(z) dz (a) Use the composite trapezoidal rule to compute F and d for the case where H= 30 (n = 6). (b) Repeat (a), but use the composite Simpson's 1/3 rule.
Transcribed Image Text:The force on a sailboat mast can be represented by the following function: f(2)=200 (5)22/ where = the elevation above the deck and H= the height of the mast. The total force F exerted on the mast can be determined by integrating this function over the height of the mast: F="f3 dz The line of action can also be determined by integration: főzf(z) dz Sof(z) dz (a) Use the composite trapezoidal rule to compute F and d for the case where H= 30 (n = 6). (b) Repeat (a), but use the composite Simpson's 1/3 rule.
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