The energy of a simple harmonic oscillator is maximum at which point? (2022)

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Q: The energy of a simple harmonic oscillator is maximum at which point? (2022)

Solution: The energy of a simple harmonic oscillator is maximum at the amplitude, where the velocity is zero and all energy is potential.

Steps: 6

Step 1: Understand what a simple harmonic oscillator is. It is a system that moves back and forth in a regular pattern, like a swinging pendulum or a mass on a spring.
Step 2: Know that the energy in a simple harmonic oscillator is made up of two types: potential energy (stored energy) and kinetic energy (energy of motion).
Step 3: Recognize that the total energy of the oscillator remains constant, but it can change between potential and kinetic energy as the oscillator moves.
Step 4: Identify the amplitude, which is the maximum distance the oscillator moves from its rest position. This is where the oscillator has the most potential energy.
Step 5: Realize that at the amplitude, the velocity of the oscillator is zero because it is momentarily at rest before changing direction.
Step 6: Conclude that since all the energy is potential at the amplitude and the kinetic energy is zero, the energy of the simple harmonic oscillator is maximum at this point.