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

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

Options:

Correct Answer: Amplitude

Exam Year: 2022

Solution:

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

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

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

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.

Simple Harmonic Motion – A type of periodic motion where an object oscillates around an equilibrium position, characterized by restoring forces proportional to the displacement.
Energy in Simple Harmonic Oscillator – In a simple harmonic oscillator, total mechanical energy is conserved and is the sum of kinetic and potential energy, with potential energy being maximum at the amplitude.