A car is being pulled out of the mud by two forces that are applied by the two r

Question

A car is being pulled out of the mud by two forces that are applied by the two ropes shown in the drawing. The dashed line bisects the 30.0 degree angle. The magnitude of the force applied by each rope Is 2900 Newtons. Arrange the force vectors tail to head and use both graphical and force component methods to answer the following questions. (a) How much force would a single rope need to accomplish the same effect as the two forces added together? (b) How would the single rope be directed relative to the dashed line?

Explanation / Answer

a) angle between two ropes is 30 degrees

each rope makes 15 degrees angle with the dashed line

force = 2*2900cos15 = 5602.4 N

b) the single rope should be directed along the dashed line in the text drawing.

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