What is the total mechanical energy of a simple harmonic oscillator at maximum d

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Question: What is the total mechanical energy of a simple harmonic oscillator at maximum displacement? (2022)

Options:

Correct Answer: Maximum

Exam Year: 2022

Solution:

At maximum displacement, the total mechanical energy of a simple harmonic oscillator is at its maximum, as all energy is potential.

What is the total mechanical energy of a simple harmonic oscillator at maximum displacement? (2022)

What is the total mechanical energy of a simple harmonic oscillator at maximum displacement? (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 pendulum or a spring.
Step 2: Know that total mechanical energy is the sum of potential energy and kinetic energy in the system.
Step 3: Recognize that at maximum displacement (the farthest point from the center), the oscillator is momentarily at rest.
Step 4: Since the oscillator is at rest at maximum displacement, its kinetic energy is zero.
Step 5: At maximum displacement, all the energy is stored as potential energy.
Step 6: Therefore, the total mechanical energy at maximum displacement is equal to the maximum potential energy.

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