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183_notes:torquediagram [2016/03/14 16:39] – [A balanced situation] caballero | 183_notes:torquediagram [2016/04/01 13:39] – [Lecture Video] pwirving | ||
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==== Lecture Video ==== | ==== Lecture Video ==== | ||
- | Forthcoming... | + | {{youtube> |
==== A balanced situation ==== | ==== A balanced situation ==== | ||
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== Let's use Location 4 (Pivot location) == | == Let's use Location 4 (Pivot location) == | ||
- | In this case the pivot force is not included in the analysis and the only unknown is mass 2. We can perform a torque analysis around this location noticing that the weight of the plank and mass 1 will contribute to an out-of-the-page torque (positive torque) while mass 2 will contribute to an into-the-page torque (negative torque). [[183_notes: | + | In this case the pivot force is not included in the analysis and the only unknown is mass 1. We can perform a torque analysis around this location noticing that the weight of the plank and mass 1 will contribute to an out-of-the-page torque (positive torque) while mass 2 will contribute to an into-the-page torque (negative torque). [[183_notes: |
$$\vec{\tau}_{net} = 0 \longrightarrow \tau_{net, | $$\vec{\tau}_{net} = 0 \longrightarrow \tau_{net, | ||
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Here, you obtain $m_1$ without any additional work. So, to summarize, every pivot location can be used -- it's just that some make the work a little easier than others. You would not have been wrong to choose any of the other locations. | Here, you obtain $m_1$ without any additional work. So, to summarize, every pivot location can be used -- it's just that some make the work a little easier than others. You would not have been wrong to choose any of the other locations. | ||
+ | ===== Examples ===== | ||
+ | |||
+ | * [[: |