The minimum tension each cable must be able to endure, where a
Answer to Problem 26CT
Solution:
The cable must be able to endure a tension of approximately
Explanation of Solution
Given information:
A
Draw a force diagram by using the force vectors
The tensions in the cable are the magnitudes
The magnitude of the force vector
Here
Using the right angle triangle in the sketch it is observed that,
Now write each force vector in terms of the unit vectors
Here,
Hence, the force vectors
Here,
Hence, the force vectors
The angle between vector
Hence, the force vectors
Since the system is in equilibrium,
By comparing components,
By solving
Consider
Substitute
Therefore, the cable must be able to endure a tension of approximately
Chapter 9 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Calculus: Early Transcendentals (2nd Edition)
Elementary Statistics (13th Edition)
A First Course in Probability (10th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning