Let the magnitude of the force making an angle of 60° with the resultant be F.
Then, the magnitude of the other force = 80 - F
Since the two forces are perpendicular to each other,
F × (80 - F) = 80 × 80
F2 - 80F + 6400 = 6400
F2 - 80F = 0
F(F - 80) = 0
F = 0 or F = 80
Since the magnitude of the force cannot be 0,
F = 80N
Two forces whose resultant is 80newton are perpendicular to each other. If one of them makes angle 60degree with the resultant, calculate it's magnitude
1 answer
1 answer