Answer:
to the right.
Explanation:
Since the sign is not moving, the net force on this sign should be . For that, the horizontal component (
-component) of external forces on this sign should be
.
Sources of external forces on this sign include tension from the wires, as well as gravitational pull (weight) from the earth. The gravitational pull from the earth is entirely vertical (-component,) with a magnitude of
in the horizontal direction. Thus, the only external forces on this sign in the
-component would be from the two wires.
The question states that the -component of the force from the first wire is
to the left. Thus, for the net force in the
-direction to be
, the force from the other wire in the
-component needs to be
to the right (same magnitude but opposite direction.)