Question

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

,

5

( ) 200

2

H

z

e

z

z

f z



















where z  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, ( ) .

0

 

H

F f z dz The line of action can also be determined by

integration







 H

H

f z dz

zf z dz

d

0

0

( )

( )

.

Use Trapezoidal rule to compute F and d for the case where H  30 by taking

number of segments n  6 .​

Answer 1

Answer:

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