Question

Q.
Two forces whose magnitude are in the
ratio is in 3:5 give a resultant of 35N.
If the angle of inclination between the forces
is 60°. find the magnitude of Forces​

Answer 1

The magnitude of forces are 15 N and 25 N

Explanation:

Let $F_{1 } = 3x$         ;   $F_{2}$ = 5x

we know F = $\sqrt{F_{1} ^{2}+F_{2} ^{2} + 2F_{1} F_{2}cos60^{} }$

35 = $9x^{2} +25x^{2} +15x^{2}$

35 = $\sqrt{49x^{2} }$

35 = 7x

x = 5

$F_{1}$ = 3x = 3 X 5 =15 N

$F_{2}$ = n5x = 5 X 5 =25 N