## On a Balcony

Consider a person applies a downward 500 N force by standing on a balcony's edge, which is only supported by one diagonal beam. Determine the force in the support based on the diagram below. Assume the balcony is weightless.

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__**Hint**

**Hint**

$$$Force=mass\times acceleration$$$

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__**Hint 2**

**Hint 2**

The problem is asking to solve for the y-component of the diagram's sum of forces:

$$$\sum F_y=0$$$

Since the person standing on the balcony only exerts force in the vertical/y-direction, we only need to determine the support's y-component:

$$$\sum F_y=0: -500N+\frac{5}{13}F_{support}=0$$$

$$$F_{support}=\frac{500N\cdot 13}{5}=1300\:N$$$

1300 N