Parallelogram Law of Vector Addition

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SUMMARY

The discussion centers on the application of the parallelogram law of vector addition to solve a physics problem involving two forces of magnitudes 8N and 11N acting at a 30-degree angle. The user successfully drew the vectors but required assistance in calculating the resultant force. To find the x and y components of the 11N force, trigonometric functions must be applied, specifically sine and cosine, to resolve the vector into its components. This method will lead to the calculation of the resultant force's magnitude.

PREREQUISITES
  • Understanding of vector addition principles
  • Basic knowledge of trigonometric functions (sine and cosine)
  • Familiarity with drawing vector diagrams
  • Concept of resultant vectors in physics
NEXT STEPS
  • Learn how to resolve vectors into components using trigonometry
  • Study the parallelogram law of vector addition in detail
  • Practice problems involving resultant forces and angles
  • Explore graphical methods for vector addition and resultant calculation
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Students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators looking to reinforce concepts of vector addition and trigonometry in problem-solving.

Morphayne
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Homework Statement



I'm having trouble with a word problem involving the parallelogram law of vector addition. The problem reads as follows:

Two forces with magnitudes 8N and 11N act on a large object. The angle between the forces is 30 degrees.

a) Draw a diagram to represent the combined effort of the forces.b) Calculate the magnitude of the resultant force.

Homework Equations



Not sure.

The Attempt at a Solution



a) I drew the 8N vector horizontal and the 11N 30 degrees from the horizontal. Both vectors are tail-to-tail.

b) I know that I'm supposed to use the parallelogram law of vector addition, complete the parallelogram and the resultant vector will share the same tail with my original two vectors and the head of the resultant vector will be at the opposite vertex of the parallelogram.

I just don't know how to do the actual calculation, which is where I need the help.
 
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if I call the horizontal the "x-axis" then the x-component of the 8N force is 8N and the y-component of the 8N force is zero.

what are the x and y components of the 11N force? you will need to use trig.
 
P.S. this should probably be posted in the introductory physics forum not the "calculus and beyond" forum... but whatever.
 

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