Finding the Resultant of Three Forces on a Particle

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SUMMARY

The discussion focuses on calculating the resultant of three forces acting on a particle located at the origin. The forces include a 65 N force at 30 degrees, a 30 N force at 180 degrees, and a 20 N force at 250 degrees. The participant confirms that vector addition is commutative, allowing for the resultant of two forces to be calculated first, followed by the addition of the third force to determine the overall resultant direction and magnitude.

PREREQUISITES
  • Understanding of vector addition and components
  • Knowledge of trigonometric functions for angle calculations
  • Familiarity with Newton's laws of motion
  • Basic proficiency in resolving forces into their x and y components
NEXT STEPS
  • Study the method of resolving forces into x and y components
  • Learn how to calculate the magnitude and direction of a resultant vector
  • Explore the concept of vector addition in physics
  • Practice problems involving multiple forces acting on a particle
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Students studying physics, particularly those focusing on mechanics and force analysis, as well as educators teaching vector addition and resultant forces.

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Homework Statement


Three forces act on a particle. What is the direction of the resultant of these forces.
The three forces are: a 65 N force at 30 degrees, a 30N force at 180 degress (going towards the negative x-direction), and a 20 N force at 250 degrees (in the negative x and y directions) the object being at the origin


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The Attempt at a Solution


i just want to know if i could just find the resultant of two forces, than take that resultant and the remaining force and take the resultant of that and find the angle
 
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Vector addition is commutative: (A+B) + C = A + (B+C). So yeah, that should work.
 
thanks
 

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