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The force system as shown in the figure has a resultant of 200 lbs. pointing up along the y axis. Compute the values of F and θ required to give this resultant.
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| Photo by Math Principles in Everyday Life |
Solution:
The first thing that we need to do is to get the x and y components of each forces and then isolate the given figure as follows
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| Photo by Math Principles in Everyday Life |
The sum of y components is
The sum of x components is
Divide the first equation by the second equation in order to solve for θ, we have
Take the inverse tangent on both sides on the equation, we have
Substitute the value of θ to either of the two working equations, we have
