Addition of Vectors by means of Components

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Homework Help Overview

The discussion revolves around the addition of vectors using their components, specifically in the context of a football player's displacement represented by vectors A, B, and C. The magnitudes of these vectors are provided, and participants are exploring how to calculate the resultant vector's magnitude and direction.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the component method for vector addition, with one original poster attempting to calculate the resultant vector's components. There are questions about the accuracy of the components, particularly the y component of vector C. Others express confusion about determining the components of vector C and seek clarification on the method to find these values.

Discussion Status

The discussion includes attempts to verify calculations and clarify misunderstandings regarding vector components. Some participants have resolved their issues, while others continue to seek assistance with specific components and the overall approach to the problem.

Contextual Notes

There is mention of a specific angle related to vector C, which may influence how participants are approaching the problem. Additionally, the original poster's calculations were initially deemed incorrect, prompting further examination of the components involved.

RKNY
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Homework Statement


A football player runs the pattern given in the drawing by the three displacement vectors A, B, and C. The magnitudes of these vectors are A = 5 m, B = 14.0 m, and C = 23.0 m. Using the component method, find the magnitude and direction of the resultant vector A + B + C
http://www.webassign.net/CJ/cj6_1-55.gif" .


Homework Equations


Rx = Ax + Bx + Cx
Ry = Ay + By + Cy



The Attempt at a Solution


Components of A
Ax = 0
Ay = 5

Components of B
Bx = 14.0
By = 0

Components of C
Cx = 18.8
Cy = -23.0

Rx = 32.8
Ry = -18.2

Took the square root of Rx^2 + Ry^2 and found it out to be the answer of 37.5.

I put it in but it tells me that it isn't right?
 
Last edited by a moderator:
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Check your y component of vector C.
 
cristo said:
Check your y component of vector C.

It worked out okay, thanks a bunch!
 
I have that exact problem now, and I can't come up with the correct answer
 
Welcome to PF!

pstfleur said:
I have that exact problem now, and I can't come up with the correct answer

Hi pstfleur! Welcome to PF! :smile:

Show us what you've done, and where you're stuck, and then we'll be able to help! :wink:
 
Nevermind..Figured it out!
 
Thanks a lot thou, I will be sure to use this site through out the semester :)!
 
Can somebody please tell me how to figure out Cx and Cy. I'm completely lost on how to get those values.
 
Make a right triangle with C being the hypotenuse. Use the 35-degree angle in your construction.
 

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