Chapter 10, Problem 6PLA

Figure 10-5 Meter stick with forces applied by hanging two masses m₁ and m₂.

In Figure 10-5 if mass m₁ = 0.100kg acts at 20.0cm, what is the value of mass m₂ that must be placed at the position 70.0cm shown to put the system in equilibrium? Write the equation for ${\displaystyle \sum {\tau }_{ccw}}={\displaystyle \sum {\tau }_{cw}}$ with the mass m₂ as unknown and solve for m₂. Assume that the meter stick is uniform and symmetric. Show your work.