Energy and Position Relationships in Simple Harmonic Motion
![]() The first control lets you select the total energy of the harmonic oscillator. For the plot of potential energy as a function of displacement, this will move the red point and level to the appropriate position on the potential energy well and the other plots will change accordingly. The second control lets you select the force constant, essentially increasing or decreasing the strength of the spring. The final control manipulates time. The mass on the spring and the red points track displacement as a function of time, the blue points track potential energy as a function of time, and the green point tracks kinetic energy as a function of time. Snapshot 1: at time zero, the harmonic oscillator is in its equilibrium position with maximum kinetic energy and zero potential energy Snapshot 2: at maximum displacement from equilibrium, the harmonic oscillator has zero kinetic energy and maximum potential energy Snapshot 3: an increase in the total energy of the harmonic oscillator also increases the amplitude of displacement ![]() "Energy and Position Relationships in Simple Harmonic Motion" from The Wolfram Demonstrations Project http://demonstrations.wolfram.com/EnergyAndPositionRelationshipsInSimpleHarmonicMotion/ Contributed by: Whitney R. Hess and Lisa M. Goss (Idaho State University) | ||||||||||||||
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