The four forces, taken together, act as a single resulting force. What is the magnitude of this resulting force? The forces are acting on a point and the magnitude of each force is show in the diagram.

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1 Answer
Jan 25, 2018

"Resultant force"=sqrt(6)

Explanation:

"Resultant force"=sqrt((SigmaF_x)^2+(SigmaF_y)^2)

SigmaF_x=1-sqrt(2)

(Visual explanation:
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)

SigmaF_y=1+sqrt(2)

"Resultant force"=sqrt((1-sqrt(2))^2+(1+sqrt(2))^2)

"Resultant force"=sqrt(1-2sqrt(2)+2+1+2sqrt(2)+2)

"Resultant force"=sqrt(1+2+1+2)

"Resultant force"=sqrt(6)