The force on a sailboat mast can be represented by the following function.

2.5 / 200

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z H z

f z e

z

where z elevation above the deck and H the height of the mast. The total force F exerted on the mast can

be determined by the integrating this function over the height of the mast:

0

H

F f z dz

The line of action can also be determined by integration:

0

0

H

H

zf z dz

d

f z dz

Use the composite Simpson’s 1/3 rule to compute F and d for the case where H=30

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