IF – child 1 pulls with F1 40 N force making an angle

IF;

– child 1 pulls with F1 = 40 N force making an angle of 30 degrees north from east

– Child 2 pulls with F2 = 30 N force making an angle of 60 degrees north from west

– Child 3 pulls with F3 force making an angle south from west

What does the force F3and the angle have to be for the net force to be ZERO, i.e., for the toy to be in equilibrium?

Solution

the horizontal forces are equal in either side

so

F3 cos60 + 30 cos 60 = 40 cos 30

F3 X 0.5 + 30 X 0.5 = 40 X 0.866

F3 X 0.5 = 34.64 &#████████; ( ██████ █ ███████ )

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