Explanation:
4) The net torque on the on the meter stick is equal to zero in order to have no rotation.
[tex]\tau_{1} = \tau_{2}[/tex]
[tex]F_{1}d_{1} = F_{2}d_{2}[/tex]
[tex](8 \:N)(0.3\: m) = F_{2}(0.1 \:m)[/tex]
[tex]F_{2} = \frac{(8 \:N)(0.3 \:m)}{(0.1 \:m)} = 24 \:N[/tex]
5) We are going the same equations in #4 here.
[tex]F_{1}d_{1} = F_{2}d_{2}[/tex]
[tex](500 \:N)(2.4 \:m) = F_{2}(3.0 \:m)[/tex]
[tex]F_{2} = \frac{(500 \:N)(2.4 \:m)}{(3.0 \:m)} = 400 \:N[/tex]
