Resultant force from three forces.

AI Thread Summary
The discussion focuses on calculating the resultant force from three vectors, with specific values for F1 and its angle provided. The equations for resolving the forces into x and y components are shared, leading to an initial calculation attempt. A correction is noted regarding the angle for the 600 N force, indicating it should be adjusted from 150° to a different value based on the figure. Ultimately, the user resolves the issue independently after seeking clarification. The thread highlights the importance of accurately interpreting angles in physics problems.
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Homework Statement


http://session.masteringengineering.com/problemAsset/1127110/6/Probs.2-39_40.jpg
I will refer to this picture for the problem.
I have to find the resultant of the three force vectors. I know all except F1 and theta. I am given it for this problem to find the resultant. F1=510N and theta=20 degrees.


Homework Equations


Each theta is the degrees from positive x axis.
Fx1cos(theta1)+Fx2cos(theta2)+Fx3cos(theta3)=x
Fy1sin(theta1)+Fy2sin(theta2)+Fy3sin(theta3)=y
sqrt(x^2+y^2)=answer


The Attempt at a Solution


510cos(70)+600cos(150)+400cos(30)=1.22
510sin(70)+600sin(150)+400sin(30)=979.24
sqrt(1.22^2+979.24^2)=979.24
 
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For the 600 N force, the angle is not 150°. Look carefully at the figure again.
 
The angle for 600N should be 4/5 for the x direction and 3/5 for the y direction. Now how do I find the angle? Thats the next part.

Edit: Nevermind. I got it. Thank you
 
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