SOLUTION: Two forces, one of 100 pounds and the other 150 pounds act on the same object, at angles of 20 degrees and 60 degrees, respectively, with the positive x axis. Find the direction an

Algebra ->  Vectors -> SOLUTION: Two forces, one of 100 pounds and the other 150 pounds act on the same object, at angles of 20 degrees and 60 degrees, respectively, with the positive x axis. Find the direction an      Log On


   

Question 1102956: Two forces, one of 100 pounds and the other 150 pounds act on the same object, at angles of 20 degrees and 60 degrees, respectively, with the positive x axis. Find the direction and magnitude of the resultant of these forces.
Thanks in advance!
Found 2 solutions by richwmiller, Fombitz:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!

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Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
F%5B1%5D=(100cos%2820%29,100sin%2820%29)
F%5B1%5D=(93.97,34.20)
.
.
F%5B2%5D=(150cos%2860%29,150sin%2860%29)
F%5B2%5D=(75,129.9)
.
.
R=F%5B1%5D%2BF%5B2%5D
R=(93.97%2B75,34.20%2B129.9)
You can then find the magnitude by taking the square root of the sum of the squares of the components.
abs%28R%29=sqrt%28R%5Bx%5D%5E2%2BR%5By%5D%5E2%29
For the angle,
tan%28beta%29=R%5By%5D%2FR%5Bx%5D