SOLUTION: Please help me solve and explain how to solve the following problem:
Given two forces of 12Ib and 19Ib, forming an angle of 92°, find the magnitude of the resultant force. (Roun
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-> SOLUTION: Please help me solve and explain how to solve the following problem:
Given two forces of 12Ib and 19Ib, forming an angle of 92°, find the magnitude of the resultant force. (Roun
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Question 984482: Please help me solve and explain how to solve the following problem:
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.)
Thank you kindly. Found 2 solutions by Edwin McCravy, AnlytcPhil:Answer by Edwin McCravy(20064) (Show Source):
You can put this solution on YOUR website! Please help me solve and explain how to solve the following problem:
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.)
Since you didn't specify the direction of either force, just that they
are 92° apart, we might as well take one of the vectors to be at 0° and the
other at 92°. We'll take the 121 lb vector at 0° and the 191 lb vector at 92°.
x-components y-components
121cos(0°) = 121 121sin(0°) = 0
191cos(92°) = -6.666 191sin(92°) = 190.884
-------------------------------------------------
Rx = 114.334 Ry = 190.884
lb.
Edwin
This is to show you that we could have switched the vectors and gotten the
same answer:
x-components y-components
191cos(0°) = 191 191sin(0°) = 0
121cos(92°) = -4.223 121sin(92°) = 120.926
-------------------------------------------------
Rx = 186.777 Ry = 120.926
lb.
The numbers used in the calculations are quite different when we switched the
vectors but the answers came out the same. This makes one believe that mathematics works!
Edwin
