SUMMARY
The discussion focuses on calculating parameters for Simple Harmonic Motion (SHM) at time t=1 second, where the displacement is 1 cm, velocity is 2 cm/s, and acceleration is -3 cm/s². The key equations involved include the generic form of SHM, s=Acos(ωt+φ), and the relationships between angular frequency (ω), amplitude (A), and phase constant (φ). The solution requires substituting the known values into the equations to derive the angular frequency, amplitude, and phase constant definitively.
PREREQUISITES
- Understanding of Simple Harmonic Motion (SHM)
- Familiarity with trigonometric functions and their applications in physics
- Knowledge of angular frequency (ω) and its relationship to velocity and displacement
- Ability to manipulate equations involving cosine and sine functions
NEXT STEPS
- Study the derivation of angular frequency in SHM using the equation ω=v/R
- Explore the calculation of amplitude (A) from displacement and velocity in SHM
- Learn how to determine the phase constant (φ) in SHM equations
- Investigate the implications of acceleration in SHM and its relationship to displacement and velocity
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking to enhance their understanding of Simple Harmonic Motion parameters.