posted by Beth
Two ropes attached to a young tree are pulled by two landscapers. Rope 1 is pulled with 267 N of force at an angle of 23 degrees north of east and Rope 2 is pulled with 377 N of force due west.
a) Determine the magnitude and direction of the resultant force acting on the tree
b) Determine magnitude and direction of a third cable installed to produce equilibrium.
a. The easy way, if you know trig, is to draw the vectors head to tail, and draw the resultant. Then label all the angles, and figure the interiour angles.
then magnitude of the resultant is found by law of cosines, and direction by law of sines.
2 + 2 = 4 minus one equals 3 Quickmaths