In a simple harmonic motion, the phase difference between displacement and accel

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Question: In a simple harmonic motion, the phase difference between displacement and acceleration is:

Options:

Correct Answer: 180 degrees

Solution:

Acceleration is always opposite to displacement in SHM, hence 180 degrees.

In a simple harmonic motion, the phase difference between displacement and acceleration is:

In a simple harmonic motion, the phase difference between displacement and acceleration is:

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: Identify the two key components in SHM: displacement (the position of the object from the central point) and acceleration (how quickly the object's speed is changing).
Step 3: Recognize that in SHM, when the object is at its maximum displacement (farthest from the center), the acceleration is at its maximum but in the opposite direction.
Step 4: Realize that when the object is at maximum displacement, it is slowing down, which means the acceleration is directed towards the center (opposite to displacement).
Step 5: Conclude that since acceleration is always directed opposite to displacement in SHM, the phase difference between them is 180 degrees.

Simple Harmonic Motion (SHM) – In SHM, the motion of an object is periodic and can be described by sinusoidal functions, where the acceleration is proportional to the negative of the displacement.
Phase Difference – The phase difference in SHM refers to the angular difference between two periodic functions, such as displacement and acceleration.