What is the phase difference between the displacement and acceleration in simple

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Question: What is the phase difference between the displacement and acceleration in simple harmonic motion?

Options:

Correct Answer: 180 degrees

Solution:

In simple harmonic motion, acceleration is always opposite to displacement, hence the phase difference is 180 degrees.

What is the phase difference between the displacement and acceleration in simple harmonic motion?

What is the phase difference between the displacement and acceleration in simple harmonic motion?

Correct Answer: 180 degrees

Step 1: Understand simple harmonic motion (SHM). In SHM, an object moves back and forth around a central point.
Step 2: Identify the two key quantities: displacement (the position of the object from the central point) and acceleration (how quickly the object's velocity is changing).
Step 3: Note that in SHM, when the object is at its maximum displacement (farthest from the center), the acceleration is at its maximum but directed towards the center.
Step 4: Recognize that when the displacement is positive (to one side), the acceleration is negative (towards the center), and vice versa.
Step 5: Conclude that the acceleration is always in the opposite direction to the displacement.
Step 6: Since opposite directions correspond to a phase difference of 180 degrees, we determine that the phase difference between displacement and acceleration in SHM is 180 degrees.

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