Statics Tension, Spring, and, DownWard Force

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SUMMARY

The discussion centers on solving a physics problem involving statics, specifically focusing on the relationship between tension, spring force, and downward force. The user has determined that the angle theta is 35 degrees through trial and error using an Excel program. The final equation presented is P/k = tan(θ) * ((4 - cos(θ)) * [√(5 - 4cos(θ)) - 1] / √(5 - 4cos(θ))), although the user admits to not verifying the algebraic accuracy of this equation.

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  • Understanding of basic physics concepts such as tension and forces.
  • Familiarity with trigonometric functions, particularly tangent and cosine.
  • Proficiency in algebraic manipulation and solving equations.
  • Experience with Excel for computational modeling.
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  • Study the principles of statics in physics, focusing on tension and forces.
  • Learn about trigonometric identities and their applications in physics problems.
  • Explore algebraic techniques for solving complex equations.
  • Investigate advanced Excel functions for modeling physical systems.
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Students studying physics, particularly those focusing on statics, as well as educators and anyone interested in applying mathematical modeling to physical problems.

Boba Fet
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Homework Statement



upload_2016-2-18_18-36-35.png

Homework Equations


I am Stuck getting Theta out of the last step of equation. I have found that theta is 35 by trial and error.( i wrote an excel program)[/B]

The Attempt at a Solution


upload_2016-2-18_18-48-54.png
 
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My final equation is similar to yours, but not exactly the same:

$$\frac{P}{k}=\tan{\theta}\frac{(4-\cos{\theta})[\sqrt{5-4\cos{\theta}}-1]}{\sqrt{5-4\cos{\theta}}}$$

I didn't check my algebra, so I'm not sure of this.
 

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