How Do You Calculate the Magnitude and Direction of Coplanar Forces?

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SUMMARY

The discussion focuses on calculating the magnitude and direction of three coplanar forces: 40N at 45 degrees east of south, 10N west, and 70N at 35 degrees east of north. To solve this, participants emphasize breaking down each force into its east/west and north/south components. The total components are then summed, and the resultant force's magnitude is determined using the Pythagorean theorem, while the direction is calculated using the inverse tangent function.

PREREQUISITES
  • Understanding of vector components in physics
  • Familiarity with the Pythagorean theorem
  • Knowledge of trigonometric functions, specifically inverse tangent
  • Basic principles of force and equilibrium
NEXT STEPS
  • Study vector decomposition techniques in physics
  • Learn about the Pythagorean theorem applications in force calculations
  • Explore trigonometric functions and their use in determining angles
  • Review coplanar force problems and solutions for practical examples
USEFUL FOR

Students studying physics, particularly those learning about forces and vector analysis, as well as educators seeking to explain these concepts effectively.

nettie2311
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Homework Statement



Find the magnitude and direction of 3 coplanar forces of:
40N 45 degrees east of south
10N west
70N 35 degrees east of north


This is all new to me so anyone that can show me and hopefully explain how I can get the answer would be great.
 
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Find the East/west and north/south components for each vector.
Add them separately to get totals in each direction.
Combine them using pythagorean thm for magnitude and inverse tan for angle.
 
Thanks for the reply, but physics is totally new to me and I've been online to try to teach myself but I'm having no luck...can you be more specific.
 
vector2.jpg
 

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