A force acts at the origin in a direction defined by the angles uy 5 65°...

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

Solutions

Expert Solution

let the force be "F"

Component of F in X-Y plane = F Sinu_z = F Sin5.40

Component of F along Y-direction = (F Sin5.40) Cosu_y = (F Sin5.40) Cos5.65

Component of F along X-direction = (F Sin5.40) Sinu_y = (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

u_x = 90 - u_y = 90 - 5.65 = 84.35

genius_generous answered 1 year ago

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