How Do You Calculate the Resultant Force from Concurrent Coplanar Forces?

AI Thread Summary
To calculate the resultant force from concurrent coplanar forces, first resolve each force into its X and Y components based on a chosen coordinate system. The net force in the X direction is found by adding the components in the same direction and subtracting those in the opposite direction, with a similar approach for the Y direction. The magnitude of the resultant force is then determined using the formula sqrt(FX² + FY²). The direction can be calculated using trigonometric functions based on the components. This method provides a systematic way to analyze the forces and find the resultant vector.
nettie2311
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Homework Statement



Find the magnitude and direction of 4 concurrent coplanar forces:

10N 32 degrees east of north
35N 50 degrees east of north
25N 72 degrees east of north
85N 40 degrees east of south


Any help would be greatly appreciated.
 
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Split the forces into X and y components then solve
 
Thanks for the reply, but physics is totally new to me and I've been online to try to teach myself but I'm having no luck...can you be more specific.
 
choose X and Y axis along north, south direction
Find X,Y components like in the pic.

find the net force of vector components along X axis by by adding vectors in same direction and subtracting the ones in opposite direction.
do same for Y axis.

Then find the net force of X and Y forces using this: sqrt(FX + FY)
 

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cupid.callin said:
Then find the net force of X and Y forces using this: sqrt(FX + FY)

Of course you mean sqrt(F2X + F2Y).
 
Oh yes!
my bad
 
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