How to Calculate Vector Components in Different Coordinate Systems?

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SUMMARY

The discussion focuses on calculating the x and y components of vectors A and B in two different coordinate systems. Vector A is given as (3.5 m, vertically downward), resulting in an x component of 0 and a y component of -3.5 m in the first coordinate system. Vector B is defined as (4.1 m, 120° clockwise), requiring the application of trigonometric functions (sine and cosine) to determine its components in both systems. The participants emphasize the need for clarity in using trigonometric identities to solve for the components accurately.

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  • Understanding of vector representation in physics
  • Knowledge of trigonometric functions (sine and cosine)
  • Familiarity with coordinate systems
  • Basic skills in solving vector problems
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This discussion is beneficial for physics students, educators, and anyone involved in vector analysis and trigonometry applications in various fields.

gbedenba
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Homework Statement


Let A= (3.5 m, vertically downward) and B = (4.1 m, 120° clockwise from ). Find the x and y components of and in each of the two coordinate systems shown in Figure Ex3.21. (attached)


Homework Equations





The Attempt at a Solution



I already have 0 for the x component of A for system 1 and -3.5 for the y component of of A for system one...I can't figure out the B x and y for system 1 . I can't find the A x&y and B x&y for system 2 help!
 

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I can't seem to understand part 1
 
gbedenba said:

The Attempt at a Solution



I already have 0 for the x component of A for system 1 and -3.5 for the y component of of A for system one...I can't figure out the B x and y for system 1 . I can't find the A x&y and B x&y for system 2 help!

You'll need to use trigonometry (sin and cos) to find the x and y components of the vectors.
 

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