SOLUTION: Given two forces of 12Ib and 19Ib, forming an angle of 92°,find the magnitude of the resultant force. (Round answer to the nearest pound.)

Algebra ->  Vectors -> SOLUTION: Given two forces of 12Ib and 19Ib, forming an angle of 92°,find the magnitude of the resultant force. (Round answer to the nearest pound.)      Log On


   

Question 984462: Given two forces of 12Ib and 19Ib, forming an angle of 92°,find the magnitude of the resultant force. (Round answer to the nearest pound.)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'll assume a frame of reference where the 12 lb force is at 0 degrees and the 19 lb force is at 92 degrees.
F%5Bx%5D=12cos%280%29%2B19cos%2892%29=12%2B19%2A%28-.0349%29=11.34
F%5By%5D=12sin%280%29%2B19sin%2892%29=19%280.9994%29=18.99
F=sqrt%28F%5Bx%5D%5E2%2BF%5By%5D%5E2%29=22.1
or to the nearest pound, F=22lbs