A Moment (torque) is the product of Force and Distance.

$\overline{)\begin{array}{rcl}{\mathbf{\tau}}& {\mathbf{=}}& \mathbf{F}\mathbf{\xb7}\mathbf{r}\mathbf{}\mathbf{s}\mathbf{i}\mathbf{n}\mathbf{}\mathbf{\theta}\mathbf{}\end{array}}$

$\overline{)\begin{array}{rcl}{\mathbf{F}}& {\mathbf{=}}& \mathbf{m}\mathbf{g}\end{array}}$

Let clockwise torque be positive and counter-clockwise torque be negative.

The system is in equilibrium. Therefore, **the sum torque should be zero**.

$\overline{)\begin{array}{rcl}{\mathbf{\Sigma \tau}}& {\mathbf{=}}& {\mathbf{0}}\\ {\mathbf{\Sigma \tau}}_{\mathbf{cw}}\mathbf{-}{\mathbf{\Sigma \tau}}_{\mathbf{ccw}}& {\mathbf{=}}& {\mathbf{0}}\end{array}}$

The two objects in the figure below are balanced on the pivot, with *m* = 1.7 kg. What is distance *d*?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Center of Mass & Simple Balance concept. You can view video lessons to learn Center of Mass & Simple Balance. Or if you need more Center of Mass & Simple Balance practice, you can also practice Center of Mass & Simple Balance practice problems.

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Based on our data, we think this problem is relevant for Professor Buehrle's class at UMD.