In a simple harmonic motion, if the amplitude is increased, what happens to the

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Question: In a simple harmonic motion, if the amplitude is increased, what happens to the total energy of the system?

Options:

Correct Answer: It increases

Solution:

The total energy in simple harmonic motion is proportional to the square of the amplitude. If the amplitude increases, the total energy increases.

In a simple harmonic motion, if the amplitude is increased, what happens to the total energy of the system?

In a simple harmonic motion, if the amplitude is increased, what happens to the total energy of the system?

Step 1: Understand what simple harmonic motion (SHM) is. It is a type of periodic motion where an object moves back and forth around a central point.
Step 2: Know that in SHM, the total energy of the system is made up of potential energy and kinetic energy.
Step 3: Learn that the total energy in SHM is directly related to the amplitude of the motion. Amplitude is the maximum distance from the central point.
Step 4: Remember the formula for total energy in SHM: Total Energy = (1/2) * k * A^2, where k is a constant and A is the amplitude.
Step 5: Realize that if the amplitude (A) increases, the total energy increases because it is proportional to the square of the amplitude (A^2).
Step 6: Conclude that when the amplitude increases, the total energy of the system also increases.

Total Energy in Simple Harmonic Motion – The total energy of a system in simple harmonic motion is given by the formula E = (1/2)kA^2, where E is the total energy, k is the spring constant, and A is the amplitude. This indicates that energy is proportional to the square of the amplitude.