Determine the weight of the unit and the location (x, y) of its center of gravity G.

Determine the weight of the unit and the location (x, y) of its center of gravity G.

The air-conditioning unit is hoisted to the roof of a building using the three cables. If the tensions in the cables are TA, TB and TC, determine the weight of the unit and the location (x, y) of its center of gravity G.

Given:

TA = 250 lb

TB = 300 lb

TC = 200 lb

a = 5 ft

b = 4 ft

c = 3 ft

d = 7 ft

e = 6 ft