Question

A force F of magnitude 5.40 units acts at the origin in a direction 26.09 above the positive x axis. A second force F, of magnitude 5.00 units acts at the origin in the direction of the positive y axis. Find graphically the magnitude and direction of the resultant force Fi + F2 magnitude direction units o counterclockwise from the +x axis Need Help? Resd

Answer 1

1.

net horizontal force

Fx = F1 cos x = 5.4 cos 26 = 4.853 N

net vertical force

Fy = F1 sin x + F2 = 5.4 sin 26 + 5 = 7.367 N

Magnitude of net force

F^2 = Fx^2 + Fy^2

F = 8.822 N

dieection,

phi = arctan ( 7.367 / 4.853) = 56.625 ccw from +x axis

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