Calculate the resultant of four forces 12N, 10N, 15N, 9N with 40 degrees, 30 degrees, 60 degrees.
3 answers
I DO NOT KNOW !
assuming the 1st force is at 0°, just add up the x- and y-components of the 4 forces, where as usual,
x = F cosθ
y = F sinθ
for each force
post your work if you get stuck
x = F cosθ
y = F sinθ
for each force
post your work if you get stuck
say the 12 N is in x direction
then x component of all = Fx = 12 + 10 cos 40 + 15 cos 30 + 9 cos 60
and y component of all = Fy = 0 + 10 sin 40 + 15 sin 30 + 9 sin 60
|F| = sqrt (Fx^2 + Fy^2)
tan angle above x axis = Fy/Fx
then x component of all = Fx = 12 + 10 cos 40 + 15 cos 30 + 9 cos 60
and y component of all = Fy = 0 + 10 sin 40 + 15 sin 30 + 9 sin 60
|F| = sqrt (Fx^2 + Fy^2)
tan angle above x axis = Fy/Fx