Statics and Mechanics question, for Engg 205 at U Calgary.

[ps123]

Homework Statement

The 64-m-tall tower is supported by three cables that exert forces Fab,Fac,Fad and on it. The magnitude of each force is 2.52 kN. Express the total force exerted on the tower by the three cables in terms of components.

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Homework Equations

N/a

The Attempt at a Solution

I've tried to split them into their components so that I take every triangle and try to find the direction cosines and times that by the total magnitute to find the x, y and z magnitudes but I don't think that's right.

 

[Pyrrhus]

Show me your positions vectors for C, B and D with respect to A.

 

[piercas]

I would approach this problem by first defining the problem and identifying the knowns and unknowns. The problem is to determine the total force exerted on the tower by the three cables in terms of components. The knowns are the height of the tower (64 m), the magnitude of each force (2.52 kN), and the diagram showing the angles and directions of the forces. The unknowns are the total force and its components.

Next, I would use vector analysis to find the total force. This involves adding the three forces together using the parallelogram law of vector addition. The magnitude of the total force can be found by using the Pythagorean theorem. Once the total force is found, its components can be determined by using trigonometric functions and the given angles in the diagram.

Finally, I would check my solution for reasonableness and accuracy. This can be done by making sure the components add up to the total force and by checking if the components make sense in the context of the problem.

In conclusion, solving this problem requires a thorough understanding of vector analysis and trigonometry. It is important to carefully define the problem and use the correct equations and techniques to find the solution. it is also important to check the solution for reasonableness and accuracy.