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183_notes:spring_pe [2021/03/18 15:07] – [Energy Flow in a Spring-Mass System] stumptyl | 183_notes:spring_pe [2021/05/25 16:17] (current) – [Energy Flow in a Spring-Mass System] stumptyl |
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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, |
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ΔEsys=Wsurr | ΔEsys=Wsurr |
ΔK=−ΔUs | ΔK=−ΔUs |
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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. |
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{{ 183_notes:mi3e_07-006.png?400 }} | {{ 183_notes:oscillationenergytrasnfer_9.png?400 }} |
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