Question

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

Answer 1

Step-by-step 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 = (m_2)/(m_1)d_2`

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