183_notes:impulsegraphs

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183_notes:impulsegraphs [2018/05/29 20:51] – hallstein183_notes:impulsegraphs [2021/02/18 20:54] (current) – [Force vs Time Graphs] stumptyl
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 ===== Impulse Graphs ===== ===== Impulse Graphs =====
  
-As you read earlier, the [[183_notes:momentum_principle|Momentum Principle is used to explain and predict]] the motion of systems. These predictions and explanations can be [[183_notes:motionpredict|represented mathematically]], but it also possible to make use graphs to do so. In these notes, you will read about force vs time graphs and how they can be used to determine the change in momentum of a system. This change is often called the //impulse delivered// to the system.+As you read earlier, the [[183_notes:momentum_principle|Momentum Principle is used to explain and predict]] the motion of systems. These predictions and explanations can be [[183_notes:motionpredict|represented mathematically]], but it also possible to make use graphs to do so. **In these notes, you will read about force vs time graphs and how they can be used to determine the change in momentum of a system.** This change is often called the //impulse// delivered to the system.
  
 ==== Lecture Video ==== ==== Lecture Video ====
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 Below is a force vs time graph where the "area under the curve" has been highlighted. In this example, we are only looking at the component of the net force in the $x$-direction. Such graphs can be produced for each component of the net force, but let's say that for this system, there was a non-zero component of the net force only in the $x$-direction. Below is a force vs time graph where the "area under the curve" has been highlighted. In this example, we are only looking at the component of the net force in the $x$-direction. Such graphs can be produced for each component of the net force, but let's say that for this system, there was a non-zero component of the net force only in the $x$-direction.
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 {{url>https://plot.ly/~PERLatMSU/12/640/480 640px,480px | Impulse Graph}} {{url>https://plot.ly/~PERLatMSU/12/640/480 640px,480px | Impulse Graph}}
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 For the above figure, the momentum change over the complete time interval can be determined in a straightforward way due to the simple geometric shapes produced. Area above the zero line are positive momentum changes, and area below are negative. By adding up the "area under the curve" in this way, we obtain a momentum change of 7 ${N\;s}$.  For the above figure, the momentum change over the complete time interval can be determined in a straightforward way due to the simple geometric shapes produced. Area above the zero line are positive momentum changes, and area below are negative. By adding up the "area under the curve" in this way, we obtain a momentum change of 7 ${N\;s}$. 
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 {{url>https://plot.ly/~PERLatMSU/13/640/480 640px,480px | Impulse Graph}} {{url>https://plot.ly/~PERLatMSU/13/640/480 640px,480px | Impulse Graph}}
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  • 183_notes/impulsegraphs.1527627063.txt.gz
  • Last modified: 2018/05/29 20:51
  • by hallstein