Asked by awos
two force acting at right angle to each other and have a resultant of 98n calculate the magnitude of the force if one of tham make and angle 60 with the resultant
Answers
Answered by
Damon
find Fx which is 60 deg from result
Fx^2 + Fy^2 = 98^2
tan 60 = Fy/Fx
so Fy = Fx* tan 60
Fx^2 + Fx^2 tan^2 60 = 98^2
Fx^2 (1+tan^2 60) = 98^2
Fx = 98/sqrt (1+tan^2 60)
Fx^2 + Fy^2 = 98^2
tan 60 = Fy/Fx
so Fy = Fx* tan 60
Fx^2 + Fx^2 tan^2 60 = 98^2
Fx^2 (1+tan^2 60) = 98^2
Fx = 98/sqrt (1+tan^2 60)