Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
two forces whose resultant is 80N are perpendicular to each other,if one of them makes an angle 60degree with resultant.calcula...Asked by Maduako Daniel Onyedikachukwu to
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
Answers
Bot
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
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