**Problem Statement:**A hot air balloon is suspended directly above the origin and is secured in place by three cables at point A. The balloon exerts an upward force on AB and AC. Cable AD runs parallel to the x-axis and has a tension of 84 lbf. Determine the tension in cables AB and AC.**Diagram Analysis:**The diagram depicts a hot air balloon tethered at point A. The balloon is held in place by three cables labeled AB, AC, and AD, with coordinates and dimensions provided for understanding the spatial relationships.1. **Point A** is the attachment point at the base of the balloon.2. **Cable AD** runs parallel to the x-axis and is attached to point D with coordinates (-7, 0, 3) feet, having a horizontal distance of 7 feet.3. **Cable AB** runs horizontally 4 feet in the x-direction and vertically connects to the ground.4. **Cable AC** runs horizontally 6 feet in the x-direction and 6 feet in the y-direction, forming a diagonal in the xy-plane.**Objective:**Calculate the tensions in cables AB and AC using the provided dimensions and the tension of 84 lbf in cable AD. This involves resolving the forces and considering equilibrium conditions.

Answered: Image /qna-images/answer/cef1aec3-b9b6-43f1-b9a8-92eb15211384.jpg

4- A hot air balloon is suspended directly above the origin and is secured in place by three cables at point A. the balloon exerts an upward force on AB and AC. Cable AD runs parallel to the x-axis and has a tension of 84 Ibf. Find the tension in cables AB and AC.

4- A hot air balloon is suspended directly above the origin and is secured in place by three cables at point A. the balloon exerts an upward force on AB and AC. Cable AD runs parallel to the x-axis and has a tension of 84 Ibf. Find the tension in cables AB and AC.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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