How Do You Calculate the Angle Between Two Forces in Equilibrium?

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SUMMARY

The discussion focuses on calculating the angle between two forces in equilibrium, specifically the 5N and 7N forces. Participants emphasize the use of the cosine rule, expressed as a² = b² + c² - 2bc*cosθ, to derive the angle θ. The forces involved are 5N, 7N, and an additional 8N, which may influence the overall equilibrium but is not directly required for calculating the angle between the first two forces. Understanding the components of forces and trigonometric relationships is essential for solving this problem.

PREREQUISITES
  • Understanding of vector components in physics
  • Knowledge of trigonometric functions (sine, cosine, tangent)
  • Familiarity with the cosine rule in triangle calculations
  • Basic principles of forces in equilibrium
NEXT STEPS
  • Study the application of the cosine rule in vector problems
  • Learn how to resolve forces into components
  • Explore the concept of equilibrium in physics
  • Practice problems involving multiple forces and angles
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Students studying physics, particularly those focusing on mechanics and force analysis, as well as educators seeking to explain the principles of equilibrium and vector resolution.

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Homework Statement


Forces of 5N, 7N, and 8N are applied to an object, calculate the angle between the lines of action of the 5N and 7N forces.


Homework Equations


Sin, cos, and tan relationships


The Attempt at a Solution


I know that you have to use components, but I don't see how to do this without knowing at least one angle.
 
Physics news on Phys.org
According the cosine rule
a^2 = b^2 + c^2 - 2bc*cosθ. In the problem a, b and c is given. Find θ.
 

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