What is the phase difference between two particles executing simple harmonic motion in the same direction with the same amplitude and frequency? (2023)
Practice Questions
1 question
Q1
What is the phase difference between two particles executing simple harmonic motion in the same direction with the same amplitude and frequency? (2023)
0
π/2
π
3π/2
If two particles are executing simple harmonic motion in the same direction with the same amplitude and frequency, their phase difference is 0.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the phase difference between two particles executing simple harmonic motion in the same direction with the same amplitude and frequency? (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.
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 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.
