Two forces act on the hook. Determine the magnitude of the resultant force.
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Decompose the forces acting on the object into x and y components. Calculate the x and y components of the resultant force by adding the x and y components of all forces. Finally, find the magnitude and direction of the resultant force by using its x and y components.
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Draw the components as follows. (Note that the diagrams are not to scale)
Two forces act on the hook
Draw the vector components tail to tail as follows.
Two forces act on the hook
Use cosine law to figure out the resultant force F_{R}F
R
F_{R}=\sqrt{500^2+200^2-(2)(500)(200)(\cos140^0)}F
R
= 5002+2002 −(2)(500)(200)(cos1400 )
F_{R}=665.7NF
R =665.7N.
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