(Solved): Four cables are used to tether a hot-air balloon as shown. The four cables are attached to a hook mo ...

Four cables are used to tether a hot-air balloon as shown. The four cables are attached to a hook mounted to the bottom of the basket of the balloon at point

, and their other ends are staked to the ground. The hook is located in the geometric center of the basket. The balloon and the air inside it have a combined mass of 3000 kg . You want to determine the resultant of the tension forces in the four cables acting on the hook at point

. It is known that the magnitudes of the tension in the cables are as follows:

;

and

. Using the information provided in the problem, express the force on the hook at point A by cable AC in rectangular component form. The force on the hook at point

by cable

in rectangular component form is given below.