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# The force on a sailboat mast can be represented by the following function.5 / 200 7 z H z f z e z where z elevation above the deck and H the height...

The force on a sailboat mast can be represented by the following function.
  2.5 / 200
7
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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