183_notes:torquediagram

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183_notes:torquediagram [2016/03/14 16:39] – [A balanced situation] caballero183_notes:torquediagram [2016/04/01 13:39] – [Lecture Video] pwirving
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 ==== Lecture Video ==== ==== Lecture Video ====
  
-Forthcoming...+{{youtube>rQUWKAKlc2U?large}}
  
 ==== 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:torque|Torque directions are defined by the right-hand rule]]. Our analysis of the net torque gives,+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:torque|Torque directions are defined by the right-hand rule]]. Our analysis of the net torque gives,
  
 $$\vec{\tau}_{net} = 0 \longrightarrow \tau_{net,z} = 0$$ $$\vec{\tau}_{net} = 0 \longrightarrow \tau_{net,z} = 0$$
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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 =====
 + 
 +  * [[:183_notes:examples:statictorque|Calculating Static Torque]]
  • 183_notes/torquediagram.txt
  • Last modified: 2021/11/15 17:25
  • by pwirving