183_notes:spring_pe

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision		 Previous revision
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
Line 45: Line 45:
  
 ==== 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,
  
 $$\Delta E_{sys} = W_{surr}$$ $$\Delta E_{sys} = W_{surr}$$
 $$\Delta K + \Delta U_s = W_{surr}$$ $$\Delta K + \Delta U_s = W_{surr}$$
  
-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.
Line 63: Line 66:
 $$\Delta K = - \Delta U_s$$ $$\Delta K = - \Delta U_s$$
  
-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 */
  • 183_notes/spring_pe.1616079855.txt.gz
  • Last modified: 2021/03/18 15:04
  • by stumptyl