Two horses pull horizontally on ropes attached to a stump. The two forces F1 = 1

Question

Two horses pull horizontally on ropes attached to a stump. The two forces F1 = 1210N and F2 that they apply to the stump are such that the net (resultant) forrce R has a magnitude equal to that of F1 and makes an angle 90 degrees with F1.

Find the magnitude of F2

Find the direction of F2 (relative to F1

Two horses pull horizontally on ropes attached to a stump. The two forces F1 = 1210N and F2 that they apply to the stump are such that the net (resultant) force R has a magnitude equal to that of F1 and makes an angle 90 degrees with F1. Find the magnitude of F2 Find the direction of F2 (relative to F1

Explanation / Answer

so

sum components parallel to F1

1210 - F2x = 0

F2x = 1210

sum component perp to F1
F2y = R

F2y = 1210

mag = sqrt(2)*1210=1711 N

direction of F2 = 90 + 45 = 135 degrees

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