What is the phase difference between two particles executing simple harmonic motion in the same direction with the same frequency? (2021)

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Q: What is the phase difference between two particles executing simple harmonic motion in the same direction with the same frequency? (2021)

Solution: If they have the same frequency and direction, the phase difference is 0.

Steps: 6

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 frequency refers to how often the motion repeats in a given time period.
Step 3: Note that when two particles are executing SHM in the same direction, they are moving in a similar pattern.
Step 4: Realize that if both particles have the same frequency, they complete their cycles in the same amount of time.
Step 5: Since they are moving in the same direction and have the same frequency, they will reach the same position at the same time.
Step 6: Conclude that the phase difference, which measures how far apart the two particles are in their motion, is 0.