Question

two forces whose magnitude are in the ratio 3 ratio 5 give a resultant of 28 Newton if the angle of their insulation is 60 find the magnitude of each force​

Answer 1

Answer:

Explanation:

Let forces are 3x and 5x.

Using, R = √ (p² + q² + 2pq cos α)

28 = √ (3x)² + (5x)² + 2 × 3x ×5x cos 60

Squaring and simplifying

784 = 9x² +25x² + 15x²

49 x² = 784

Taking square root

7x = 28

x = 4

Thus forces will be,

3x = 3 × 4 = 12 N

And 5x = 5 × 4 = 20 N