Question

Please show steps as to how to solve this problem Thank you!

Answer 1

Explanation:

Let x = distance of $F_1$ from the fulcrum and let's assume that the counterclockwise direction is positive. In order to attain equilibrium, the net torque $\tau_{net}$ about the fulcrum is zero:

$\tau_{net} = -F_1x + F_2d_2 = 0$

$-m_1gx + m_2gd_2 = 0$

$m_1x = m_2d_2$

Solving for x,

$x = \dfrac{m_2}{m_1}d_2$

$\:\:\:\:=\left(\dfrac{105.7\:\text{g}}{65.7\:\text{g}} \right)(13.8\:\text{cm}) = 22.2\:\text{cm}$