Three ropes are attached to a crate and exert the forces shown. Given /alpha = 3

Question

Three ropes are attached to a crate and exert the forces shown. Given /alpha = 30/degrees, if the forces are to be replaced with a single equivalent force applied at point AB, determine

a) the total forcce of the three ropes R=Rxi+Ryj=F1+F2+F3. Give its components, magnitude |R|, and directional angle between R and the x axis.

b) the total moment of the 3 forces about point A, MA

c) Find the distance dx from A the point of application of for R in order to create the same moment about A, MA.

d) If a single force R1=R1j is going to be applied at point B to create the same moment MAm what is the value of R1?

e) If the other two forces remain unchanged, what is the angle /alpha to create the same Rj?

Explanation / Answer

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