Answer to Question #21384 in Vector Calculus for Black

Question

Two workers are pulling on ropes attached to a tree stump one of them pull by 50 N and another one pull by 40 N the angle between tow forces is 60 degree . Find the magnitude and direction of the resultant force on the tree.

Answer 1

We assume, that axis goes by direction of first worker.
So, second is pulling with the force equal toF*cos(60)=40/2=20N
So, Magnitude is 70 N
Direction can be calculated next way:50/sinå=40/sin(60-å)(sine theorem)
So, direction is (from secondworker) å=arctan(3.5/sqrt(3))=31.853