Question

the sum of the magnitude of two forces acting at a point is 18 and the magnitude of their resultant is 12.if the resultant is at 90 degree with the force of the smaller magnitude, then their magnitudes are:

Answer 1

F2^2 + 12^2 = F1^2 right triangle, F2 smaller
F1 = (18 - F2)

F2^2 + 144 = 324 -36 F2 + F2^2

36 F2 = 180
F2 = 5
then F1 = 18-5 = 13

Answer 2

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