Force , Resultant Force, Magnitude & Direction

AI Thread Summary
The discussion focuses on calculating the resultant force from a system of forces acting on an object in different directions. To determine the magnitude and direction of the resultant force, one must first analyze the forces with respect to the horizontal axis. The components of each force are calculated using trigonometric functions, leading to the sums of the x and y components. The resultant force is then found using the Pythagorean theorem, and the angle is determined using the tangent function. Understanding these calculations is crucial for accurately representing the effects of multiple forces on an object.
BaLTHEBEAST
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Figure 1a shows a system of forces is pulled an object on different directions.

1a) Determine the magnitude and direction of the resultant force for the system of forces shown.


1b) Explain the changes of magnitude and direction of resultant force for the system of forces based on the data in Table 1. Show your changes for each force F2 and F1 .

http://img832.imageshack.us/i/scan0023z.jpg/

That link is the picture for Table 1 and Figure 1a.

Please help. I appreciate your help! Advanced thanks from me!
 
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BaLTHEBEAST said:
http://img832.imageshack.us/i/scan0023z.jpg/

For easy,

(1)First find up the degree respect for horizontal-x.

(2)Find the components-xy for each forces:

(i)Rx=∑Fx=F4cos(90-42)+F3cos(35)+...
(ii)Ry=∑Fy=F4sin(90-42)+F3sin(35)+...

(3)Finally, find the resultant R=√(Rx2+Ry2)

And sketch the diagram for resultant R to find up its angle:

tanθ=Rx/Ry
 
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