What is the phase difference between two particles in simple harmonic motion that are in the same position at the same time?

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Q: What is the phase difference between two particles in simple harmonic motion that are in the same position at the same time?

Solution: If two particles are in the same position at the same time in simple harmonic motion, they have a phase difference of 0.

Steps: 7

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.