Two forces whose magnitude are in the ratio of 3:5 act at an angle of 60° and have a resultant equal to 35 N. Find the magnitude of the forces.
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Correct option is
C
15N,25N
Using cosine law and assuming the forces to be of magnitudes 3x and 5x,
c=a2+b2+2abcosθ
35=34x2+15x2
therefore x=35/7=5.
Forces are thus equal to 15 N and 25 N.
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