Question

TheLEN NO. GvEI-THREE FORES ARE IN EAUIIARIU TertmUNINS PND F BY THE HETHD OF REINCU ToTmENTS eon CurcNENT FORCES CO-PLADBR S
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Answer #1

Resolving the given forces into components

In x - direction

- F1 * cos 60 + F3 * cos 30 = 0 --------------- (1)

In y - direction

F1 * sin 60 - F2 - F3 * sin 30 = 0 -------------- (2)

from (1) , we have

F1 = 1.732 * F3

put this in (2)

1.732 * F3 - F2 - F3 * sin 30 = 0

put in the known values

1.732 * F3 - 5 - F3 * sin 30 = 0

1.232 * F3 - 5 = 0

F3 = 4.058 kips

and

F1 = 7.029 kips

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