What is the phase difference between two particles in simple harmonic motion tha

Practice Questions

Q1
What is the phase difference between two particles in simple harmonic motion that are in the same position at the same time?
  1. 0
  2. π/2
  3. π
  4. 3π/2

Questions & Step-by-Step Solutions

What is the phase difference between two particles in simple harmonic motion that are in the same position at the same time?
Correct Answer: 0
  • 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 in SHM, each particle can be described by a position that changes over time.
  • Step 3: Know that the position of a particle in SHM can be represented by a sine or cosine function, which includes a phase angle.
  • Step 4: Realize that the phase angle indicates the position of the particle in its cycle of motion.
  • Step 5: If two particles are in the same position at the same time, it means they are at the same point in their cycle of motion.
  • Step 6: Since they are at the same point in their cycle, their phase angles must be the same.
  • Step 7: Therefore, the phase difference between the two particles is 0.
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