Simpson's
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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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