183_notes:spring_pe

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183_notes:spring_pe [2021/03/18 15:04] – stumptyl183_notes:spring_pe [2021/05/25 16:17] (current) – [Energy Flow in a Spring-Mass System] stumptyl
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 ==== Energy Flow in a Spring-Mass System ==== ==== Energy Flow in a Spring-Mass System ====
 +\\
  
-[{{183_notes:potential_energy.008.png?400|The motion of a horizontal spring-mass system.}}]+[{{183_notes:potential_energy.008.png?400|The motion of a horizontal spring-mass system within a closed system during oscillation.}}]
  
-To determine how the energy flows in a spring-mass system, consider a spring attached to a wall one one end and to a  mass that moves horizontally over a frictionless table on the other. If you consider the spring and mass to be the system, then the wall, table, and Earth are in the surroundings. From the energy principle,+\\ 
 + 
 +To determine how the energy flows in a spring-mass system, consider a spring attached to a wall on one end and to a mass that moves horizontally over a frictionless table on the other. If you consider the spring and mass to be the system, then the wall, table, and Earth are in the surroundings. From the energy principle,
  
 ΔEsys=Wsurr ΔEsys=Wsurr
 ΔK+ΔUs=Wsurr ΔK+ΔUs=Wsurr
  
-In this situation, the wall, table, and Earth exert forces, but do they do any work? +Remember, Energy and Work share the unit of Joules (J). In this situation, the wall, table, and Earth exert forces, but do they do any work? 
   * The Earth exerts a force directed downward, perpendicular to the motion. Thus, the Earth does no work on the system.    * The Earth exerts a force directed downward, perpendicular to the motion. Thus, the Earth does no work on the system. 
   * The table is frictionless, so the only force it exerts is perpendicular to the motion. Thus, the table does not work.   * The table is frictionless, so the only force it exerts is perpendicular to the motion. Thus, the table does not work.
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 ΔK=−ΔUs ΔK=−ΔUs
  
-The energy flows back and forth between kinetic and potential. When the spring is compressed fully, the potential energy is a maximum and the kinetic is zero. As the spring decompresses, the kinetic increases and the potential decreases. As the system goes the the springs relaxed length, the kinetic is a maximum and the potential is zero. All the while the total energy is a constant. This can be visualized in the graph below.+The energy flows back and forth between kinetic and potential. When the spring is compressed fully, the potential energy is a maximum and the kinetic is zero. As the spring decompresses, the kinetic increases, and the potential decreases. As the system goes the springs relaxed length, the kinetic is a maximum and the potential is zero. All the while the total energy is a constant. This can be visualized in the graph below.
  
-{{ 183_notes:mi3e_07-006.png?400 }}+{{ 183_notes:oscillationenergytrasnfer_9.png?400 }}
  
 /* Skipped Neutral Atom Bits */ /* Skipped Neutral Atom Bits */
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  • Last modified: 2021/03/18 15:04
  • by stumptyl