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 A, 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 A. It is known that the magnitudes of the tension in the cables are as follows: TAB = 206 N; TAC = 354 N; TAD = 249 N; and TAE = 485 N.
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 A, 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 A. It is known that the magnitudes of the tension in the cables are as follows: TAB = 206 N; TAC = 354 N; TAD = 249 N; and TAE = 485 N.
Express the resultant of all four forces on the hook at point A by the cables in rectangular component form.
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