A car is being pulled out of the mud by 2 forces that are appliedby the two rope

Question

A car is being pulled out of the mud by 2 forces that are appliedby the two ropes shown in the drawing. The dashed line in thedrawing bisects the 30 degree angle. The magnitude of the forceapplied by each rope is 2900 Newtons. Arrange the force vectorstail to head and use the graphical technique to answer thefollowing questions. How much force would a single rope need toapply to accomplish the same effect as the two forces addedtogether? How would the single rope be directed relative to thedashed line?

Explanation / Answer

Required Force = the x components of both forces

                     =( 2900 cos15 + 2900 cos15 ) i N

                    = ------- N

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