SOLUTION: Forces of magnitude 1N, 2N, 3N, 4N and 5N act along the lines OP, OQ, OR, OS AND OT respectively, where OPQRST is a regular hexagon. Find the resultant of the forces.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Forces of magnitude 1N, 2N, 3N, 4N and 5N act along the lines OP, OQ, OR, OS AND OT respectively, where OPQRST is a regular hexagon. Find the resultant of the forces.      Log On


   

Question 935780: Forces of magnitude 1N, 2N, 3N, 4N and 5N act along the lines OP, OQ, OR, OS AND OT respectively, where OPQRST is a regular hexagon. Find the resultant of the forces.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The corresponding angles are 0, 30, 60, 90, and 120.
Resolving the forces into x and y components.
F%5B1%5D=(1%2Acos%280%29,1%2Asin%280%29)
F%5B2%5D=(2%2Acos%2830%29,2%2Asin%2830%29)
F%5B3%5D=(3%2Acos%2860%29,3%2Asin%2860%29)
F%5B4%5D=(4%2Acos%2890%29,4%2Asin%2890%29)
F%5B5%5D=(5%2Acos%28120%29,5%2Asin%28120%29)
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F=(sqrt%283%29,5%2B4sqrt%283%29)