In: Physics
A force acts at the origin in a direction defined by the angles uy 5 65° and uz 5 40°. Knowing that the x component of the force is 2750 N, determine (a) the other components and the magnitude of the force, (b) the value of ux
let the force be "F"
Component of F in X-Y plane = F Sinuz = F Sin5.40
Component of F along Y-direction = (F Sin5.40) Cosuy = (F Sin5.40) Cos5.65
Component of F along X-direction = (F Sin5.40) Sinuy = (F Sin5.40) Sin5.65
Given that X-component = 2750
so (F Sin5.40) Sin5.65 = 2750
F = 296813 N
Component of F along Y-direction = (F Sin5.40) Cos5.65 = (296813 Sin5.40) Cos5.65 = 27797 N
Component of F along z-direction = F Cos5.40 = 27797 Cos5.40 = 27673.64 N
ux = 90 - uy = 90 - 5.65 = 84.35