Question

Two forces whose magnitudes are in the ratio 3:5 if a resultant of 28N .if the angle of their inclination is 60 degree find the magnitude of each force

Answer 1

Let the 2 vectors have magnitudes 3x and 5x 
respectively.Then by parallelogram law
R² = A² + B² + 2ABcosθ
35² = (3x)² + (5x)² + 2(3x)(5x)cos60
1225 = 9x² + 25x² + 30x²(1/2)

ie 1225 = 34x² + 15x²

ie 1225 = 49x² or x² = 25 or x = 5

Answer 2

Answer:

Explanation:

Let the 2 vectors have magnitudes 3x and 5x 

respectively.Then by parallelogram law

R² = A² + B² + 2ABcosθ

35² = (3x)² + (5x)² + 2(3x)(5x)cos60

1225 = 9x² + 25x² + 30x²(1/2)

ie 1225 = 34x² + 15x²

ie 1225 = 49x² or x² = 25 or x = 5

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