Forces, Vectors, Angles, Magnitude, CONFUSED

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SUMMARY

The discussion focuses on calculating the magnitude of the resultant vector from four given vectors: F1 = 59 N at θ1 = 150°, F2 = 29 N at θ2 = -150°, F3 = 11 N at θ3 = 23°, and F4 = 60 N at θ4 = -56°. To find the resultant vector, users are advised to first add two vectors using either the parallelogram or triangle method, then sequentially incorporate the remaining vectors to achieve the final resultant. This step-by-step approach ensures clarity in vector addition and accurate computation of the resultant magnitude.

PREREQUISITES
  • Understanding of vector addition techniques, specifically the parallelogram and triangle methods.
  • Familiarity with trigonometric functions for resolving vectors into components.
  • Knowledge of angle measurement in degrees, particularly in relation to the Cartesian coordinate system.
  • Basic proficiency in using vector notation and magnitude calculations.
NEXT STEPS
  • Learn how to resolve vectors into their x and y components using trigonometric functions.
  • Study the process of vector addition using the parallelogram method in detail.
  • Explore the triangle method for vector addition and its applications in physics problems.
  • Practice solving problems involving multiple vectors to reinforce understanding of resultant calculations.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators looking for effective methods to teach vector addition concepts.

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Homework Statement


Consider four vectors ~ F1, ~ F2, ~ F3, and ~ F4 with
magnitudes F1 = 59 N, F2 = 29 N, F3 = 11 N,
and F4 = 60 N, θ1 = 150 ◦, θ2 = −150 ◦,
θ3 = 23◦, and θ4 = −56◦, measured from the
positive x-axis with counterclockwise positive.
What is the magnitude of the resultant vec-
tor ~F = ~ F1 + ~ F2 + ~ F3 + ~ F4?
Answer in units of N.


Homework Equations


I know you have to create vectors and add them, but I don't know how with the given information.


The Attempt at a Solution


...none.
 
Physics news on Phys.org
you know parallelogram or triangle way of adding vectors,right?
Do it for 2 vectors first, finding their resultant, and use that and the next vector to get another resultant... continue and you will reach the answer.
 

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