Four ropes are attached to a crate and exert the forces shown. If the forces are to be replaced with a single equivalent force applied at a point on line AB, determine (a) the equivalent force and the distance from A to the point of application of the force when α= 30°, (b) the value of α so that the single equivalent force is applied at Point B.

A crate weighs 655 lb and is hung by three ropes attached to a steel ring at A such that the top surface is parallel to the zy plane. Point A is located at a height of h = 48 in above the top of the crate directly over the geometric center of the top surface. Use the dimensions given in the table below to determine the tension in each of the three ropes. 2013 Michael Swanbom cc i❀O ↑Z CC BY NC SA a b с с 6 The tension in rope AC is 조 Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 44 in 35 in 12.1 in The tension in rope AB is The tension in rope AD is χ lb lb a lb D

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