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Two forces have magnitude in the ratio 3:5 and the angle between their directions is 60Â°. If their resultant is 35N their magnitude are

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draw the parallelogram.
The two vectors have magnitude 3x and 5x, so

(3x)^2 + (5x)^2 - 2(3x)(5x)cos(120°) = 35

find x from that...

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