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A hot air balloon is tied to the ground by the 3 cables as shown. The tension in cable A is measured at TA = 171 lb, and runs from a coordinate at the base with x= 8 ft, and y = -5 ft. to the base of the balloon with a coordinate of z= 14 ft. Cable B has an angle of a = 27°, and cable C has the coordinate is stretched at the given angle in the x-z plane. What is the up-lift force of the hot air balloon? (the force of the hot air balloon pulling up)

A hot air balloon is tied to the ground by the 3 cables as shown. The tension in cable A is measured at TA = 171 lb, and runs from a coordinate at the base with x= 8 ft, and y = -5 ft. to the base of the balloon with a coordinate of z= 14 ft. Cable B has an angle of a = 27°, and cable C has the coordinate is stretched at the given angle in the x-z plane. What is the up-lift force of the hot air balloon? (the force of the hot air balloon pulling up)

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A hot air balloon is tied to the ground by the 3 cables as shown. The tension in cable A is measured at TA = 171 lb, and runs from a coordinate at the base with x = 8 ft, and y = -5 ft. to the base of the balloon with a coordinate of z= 14 ft. Cable B has an angle of a = 27°, and cable C has the coordinate is stretched at the given angle in the x-z plane. What is the up-lift force of the hot air balloon? (the force of the hot air balloon pulling up) (0,0,Z) a A (х.у.0)
Transcribed Image Text:A hot air balloon is tied to the ground by the 3 cables as shown. The tension in cable A is measured at TA = 171 lb, and runs from a coordinate at the base with x = 8 ft, and y = -5 ft. to the base of the balloon with a coordinate of z= 14 ft. Cable B has an angle of a = 27°, and cable C has the coordinate is stretched at the given angle in the x-z plane. What is the up-lift force of the hot air balloon? (the force of the hot air balloon pulling up) (0,0,Z) a A (х.у.0)
Expert Solution
Step 1: To determine

Given that, 

tension in cable A,  TA =  171 lb

x=8ft, y=-5ft, z=14 ft

α=27°

slope of cable C = 3H:4V

The uplift force of the hot air balloon has to be determined.

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