Component vector method for resultant force

AI Thread Summary
To find the resultant force using the component vector method, the forces need to be broken down into their x and y components. The 60 lb force on the x-axis contributes only to the x-component, while the 30 lb force at 120 degrees must be resolved into both x and y components using cosine and sine functions, respectively. The user expressed confusion about setting up the components correctly and indicated a preference for the parallelogram method. Guidance was provided on using cosine to find the x-component and sine for the y-component. The user plans to return for confirmation of their solution once they apply this method.
argentnox
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Homework Statement



An object has two ropes attached. One is on the x-axis (positive) with a 60 lb force. One is 120* (Quadrant II) from the first rope with a 30 lb force. I have to find the resultant force and angle using the component vector method of addition NOT the parallelogram method.

Homework Equations



Fa + Fb = R

The Attempt at a Solution



I set up a table of components, but I am not sure if they are correct. I am just really confused as to how to approach this problem. I know how to do it using the parallelogram method, but it seems like some important piece of information is missing for doing it using the component vector method.

A=30 lb
B= 60 lb

Angle A=120*
Angle B=0*

Ax = ??
Bx = 60 lb

Ay = ??
By = 0
 
Last edited:
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welcome to pf!

hi argentnox! welcome to pf!

(try using the X2 icon just above the Reply box :wink:)

to find the component in a direction, always multiply by cos of the angle to that direction :smile:
 
Thank you, I will try that and see how I do. If it is okay, I will probably come back to make sure I got the correct answer. I figure if I got the answer correct, I must have done the work correctly. ;)
 

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