- #1

hyperddude

- 15

- 0

## Homework Statement

Given a rectangle, say a painting, with with mass [itex]m[/itex], height [itex]h[/itex], and width [itex]w[/itex] with two point supports to a wall at its two upper corners, what force does each support exert?

## Homework Equations

Moment of inertia of a rectangle about its center: [itex]\frac{m(h^2+w^2)}{12}[/itex]

Moment of inertia of a rectangle about a corner: [itex]\frac{m(h^2+w^2)}{3}[/itex]

^Not sure if those equations will be relevant

## The Attempt at a Solution

Common sense and intuition tells us that the vertical component from each support will be [itex]mg/2[/itex].

**But is there a horizontal component?**That's what I'm trying to find out. One solution I had in mind was to break the [itex]mg[/itex] downward force into components and try setting them as the forces by the pivots, but I ended up just going in circles.