Three forces with magnitudes of 68 pounds, 108 pounds, and 131 pounds act on an object...
Three forces with magnitudes of 68 pounds, 108 pounds, and 131 pounds act on an object at angles of 30°, 45°, and 120° respectively, with the positive x-axis. Find the direction and magnitude of the resultant force. (Round your answers to one decimal place.)
| direction | ° |
| magnitude | lb |
Homework Answers
X component, Fx = 68 cos30 + 108 cos45 - 131 cos60 = 69.76 lb
Y component, Fy = 68 sin30 + 108 sin45 + 131 sin60 = 223.82 lb
Resultant force, F = sqrt(Fx^2 + Fy^2) = 234.44 lb
Direction, theta = arctan (Fy/Fx) = 72.7 degree
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