SUMMARY
Two particles executing simple harmonic motion (SHM) with the same amplitude and frequency along parallel lines exhibit a phase difference of π/3 radians. When their displacement reaches half the amplitude (a/2), the sine function indicates that the corresponding angles are π/6 and 5π/6. Therefore, the phase difference is calculated as the difference between these angles, confirming the established relationship in SHM.
PREREQUISITES
- Understanding of Simple Harmonic Motion (SHM)
- Knowledge of trigonometric functions and their properties
- Familiarity with phase difference concepts in wave mechanics
- Basic mathematical skills for solving equations
NEXT STEPS
- Explore the mathematical derivation of phase difference in SHM
- Study the implications of phase difference in wave interference
- Learn about the applications of SHM in real-world systems
- Investigate the relationship between amplitude, frequency, and phase in oscillatory motion
USEFUL FOR
Students of physics, educators teaching wave mechanics, and anyone interested in the mathematical principles of oscillatory motion.