Question

on Mathcad

The force on a sailboat mast can be represented by the following function: -2.3 H force(z) = 200 .e 5 + 2 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: p=iso F:= force (2) dz Find the total force exerted on a 10 meter mast. (Tip: work this problem without units and remember to use unique variable names, as Mathcad has utilized many built-in variable names as units)

Answer 1

10 = -9000e » 200|- loe E(3) 7-200 of -e E (² + 1 ) dz 0 Now solving TA S-ee ( 3 + 1) dz Any I tl Substitute u = 5 dz= 5 du -se SECU) du -se [UE(U) - 7"] 1-U = 5e seu E(U) Undo substitution - Z = 5 e o se's - 5e E(+1)(*) Now in solution -Z 5) 900[-100 E(3)] - 900 se -900 se 5 - +358

41) dz 5) -9000€ Fi(3) -900 [$€? - ISE E, (3) } -{5 - SEE (1) } ] + c It should be total F. doubt Any Please ask me. No 1) 505,