(Solved): The moment created at point \( a \) by a force at point \( b \) is given by the product of the magn ...

The moment created at point \( a \) by a force at point \( b \) is given by the product of the magnitude of the force \( (F) \) and the distance from \( a \) to \( b(x) \). A force, \( F \), is generated by two objects with mass \( m_{1} \) and \( m_{2} \) hanging from point \( b \), such that \[ M=x g\left(m_{1}+m_{2}\right) \] Find \( M \) in \( N^{*} m \) and its associated error, given the following experimental data: \[ \begin{array}{l} m_{1}=0.0930 \pm 0.0005 \mathrm{~kg} \\ m_{2}=0.0690 \pm 0.0005 \mathrm{~kg} \\ x=25.6 \pm 0.1 \mathrm{~cm} \\ g=9.81 \mathrm{~m} / \mathrm{s}^{2} \text { (known exactly) } \end{array} \]