- #1

- 1,462

- 44

## Homework Statement

Find the equation of the horizontal components of two strings tied to a painting at 45 degree angles with the horizontal

**.**

## Homework Equations

**F**

_{net}= 0## The Attempt at a Solution

Since the painting is in equilibrium, I found that, in the horizontal direction, F

_{net}= 0 = S

_{1x}- S

_{2x}, where S

_{1x}S

_{2x}are the horizontal components of the force by the strings. What I don't understand is why S

_{1x}= S

_{2x}. This naturally follows as a result, but aren't these two quantities equal and opposite, since they have the same magnitude but are in opposing directions? Shouldn't it be S

_{1x}= -S

_{2x}?