A force of 50 pounds is directed 30 from the horizontal, find the vector that represents this force.

Question

Physics

Lance Burch

19 July, 23:49

A force of 50 pounds is directed 30 from the horizontal, find the vector that represents this force.

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Duckling · Answer 1

I assume it is directed 30 degrees above the positive x-axis. F = 50 pounds F_x = 50 cos (30) pounds = 43.3 pounds F_y = 50 sin (30) = 25 pounds Let i and j be unit vectors along the x and y axes, respectively. Then F = F_x i + F_y j = (43.3 i + 25 j) pounds