Two forces act on the hook

January 25, 2016  in Mechanics: Statics  tagged Engineering Mechanics: Statics / Forces / magnitude / statics

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Two forces act on the hook. Determine the magnitude of the resultant force.

Solution

Draw the components as follows. (Note that the diagrams are not to scale)

Draw the vector components tail to tail as follows.

Use cosine law to figure out the resultant force F_{R}

F_{R}=\sqrt{500^2+200^2-(2)(500)(200)(\cos140^0)}

 

F_{R}=665.7N

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