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**Chop Suey** Take advantage of the fact that a force acting on the pivot produces zero torque.

Let the reaction forces be labelled $\displaystyle R_1$, $\displaystyle R_2$ and they are acting upwards. The system is assumed to be in equilibrium, consequently

$\displaystyle \tau_{\text{net}}=0$

Pivot at $\displaystyle R_1$, and then find $\displaystyle R_2$ using the equation:

$\displaystyle \tau_{\text{clockwise}}=\tau_{\text{anti-clockwise}}$

After finding $\displaystyle R_2$, pivot at $\displaystyle R_2$ and then find $\displaystyle R_1$ using the same equation:

$\displaystyle \tau_{\text{clockwise}}=\tau_{\text{anti-clockwise}}$