(Solved): A rotational axis is directed perpendicular to the plane of a square and is located as shown in the ...

A rotational axis is directed perpendicular to the plane of a square and is located as shown in the figure. Two forces, \( \vec{F} 1 \) and \( \vec{F} 2 \). are applied to diagonally opposite corners, and act along the sides of the square, first as shown in part \( a \) and then as shown in part \( b \) of the figure. In each case the net torque produced by the forces is zero. The square is one meter on a side, and the magnitude of \( \vec{F} 2 \) is \( 2.7 \) times that of \( \bar{F}_{1} \). Find the distances (a) \( a \) and (b) b that locate the axis.