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A weather balloon is tethered by the lines AB, AC, and AD. The mass of the balloon and the gas it contains is 80 kg, and the (upward) buoyancy force on the balloon is 1000 N. Draw a free body diagram of particle A. Write force vectors in terms of their unknown tensions. Estimate the tensions in lines AB, AC, and AD. Set up the equilibrium equations and solve for the unknown tension in each line.






A weather balloon is tethered by the lines AB, AC, and AD. The mass of the balloon and the gas it contains is 80 kg, and the (upward) buoyancy force on the balloon is 1000 N. Draw a free body diagram of particle A. Write force vectors in terms of their unknown tensions. Estimate the tensions in lines AB, AC, and AD. Set up the equilibrium equations and solve for the unknown tension in each line.