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What is the phase difference between two particles executing simple harmonic mot

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Question: What is the phase difference between two particles executing simple harmonic motion in the same direction with the same amplitude and frequency? (2023)

Options:

  1. 0
  2. π/2
  3. π
  4. 3π/2

Correct Answer: 0

Exam Year: 2023

Solution: 

If two particles are executing simple harmonic motion in the same direction with the same amplitude and frequency, their phase difference is 0.

What is the phase difference between two particles executing simple harmonic mot

Practice Questions

Q1
What is the phase difference between two particles executing simple harmonic motion in the same direction with the same amplitude and frequency? (2023)
  1. 0
  2. π/2
  3. π
  4. 3π/2

Questions & Step-by-Step Solutions

What is the phase difference between two particles executing simple harmonic motion in the same direction with the same amplitude and frequency? (2023)
  • 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: Recognize that amplitude is the maximum distance from the central point, and frequency is how often the motion repeats in a given time.
  • Step 3: Note that when two particles have the same amplitude and frequency, they are moving in the same way.
  • Step 4: Realize that phase difference refers to how much one particle is ahead or behind the other in its motion.
  • Step 5: Since both particles are moving in the same direction, with the same amplitude and frequency, they reach their maximum and minimum positions at the same time.
  • Step 6: Conclude that the phase difference between the two particles is 0, meaning they are perfectly in sync.
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