Addition of Vectors by means of Components

AI Thread Summary
The discussion focuses on calculating the resultant vector from three displacement vectors A, B, and C using the component method. The components of each vector are identified, with A having components Ax = 0 and Ay = 5, B having Bx = 14.0 and By = 0, and C needing clarification on its components. The resultant vector is calculated with Rx = 32.8 and Ry = -18.2, leading to a magnitude of 37.5, but an error is noted in the y component of vector C. Participants assist each other in understanding how to derive the components of vector C using trigonometric principles.
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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?
 
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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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