+33653 1. Find the distance from A to the spot on the ground immediately below the balloon (i.e. point (0, 0, 0)) - I'll call this spot E. Use Pythagoras theorem to do this. AE = √(52 + 92).
2. The force along EA is FEA = FADcos(A), where A = tan-1(20/AE)
3. Resolve FEA along the x and y directions. FEAx = FEA*5/AE, FEAy = -FEA*9/AE
4. Replace FEA in step 3 by FADcos(A).
5. Do the same for the forces FBD and FCD.
6. Resolve FAD, FBD, and FCD along the z-direction.
7. Balance the forces in the x-direction. Balance the forces in the y-direction. Balance the forces in the z-direction (don't forget the vertical force on the balloon). This should give you three equations for the three unknown forces FAD, FBD, and FCD.
+33653 1. Find the distance from A to the spot on the ground immediately below the balloon (i.e. point (0, 0, 0)) - I'll call this spot E. Use Pythagoras theorem to do this. AE = √(52 + 92).
2. The force along EA is FEA = FADcos(A), where A = tan-1(20/AE)
3. Resolve FEA along the x and y directions. FEAx = FEA*5/AE, FEAy = -FEA*9/AE
4. Replace FEA in step 3 by FADcos(A).
5. Do the same for the forces FBD and FCD.
6. Resolve FAD, FBD, and FCD along the z-direction.
7. Balance the forces in the x-direction. Balance the forces in the y-direction. Balance the forces in the z-direction (don't forget the vertical force on the balloon). This should give you three equations for the three unknown forces FAD, FBD, and FCD.
