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If F1 stands for a force vector of magnitude 30.0 N and F2 stands for a force ve

ID: 2168924 • Letter: I

Question

If F1 stands for a force vector of magnitude 30.0 N and F2 stands for a force vector of magnitude 40.0 N acting in the directions shown in the figure below, what is the equilibrant force that would be needed to compensate for the resultant force of the vectors F1 and F2 calculated in question 4.


I calculated 60.83N for the magnitude of the resultant obtained by the vector addition of these two vectors and a the direction wrt the x axis of 34.71 degrees.


However, I have no idea how to proceed. Please explain!

Explanation / Answer

F1 = 30 i F2 = 20 i + 34.64 j resultant = 50 i + 34.64 j magnitude = 60.827 we need to have Fc such that F1 + F2 + Fc = 0 then Fc = - 50 i - 34.64 j