SUMMARY
The position of a particle is defined by the equation x = (2 cm) cos 10πt. The frequency of the motion is 5 Hz, derived from the angular frequency ω = 10π rad/s. The period of the motion is 0.2 seconds, calculated as T = 1/f. The amplitude of the particle's motion is 2 cm, and the first time the particle reaches its equilibrium position after t = 0 is at 0.1 seconds, moving in the positive direction.
PREREQUISITES
- Understanding of harmonic motion concepts
- Familiarity with trigonometric functions
- Knowledge of angular frequency and its relation to frequency
- Basic skills in solving equations related to motion
NEXT STEPS
- Study the relationship between angular frequency and frequency in oscillatory motion
- Learn how to derive the period from frequency in harmonic motion
- Explore the concept of equilibrium positions in oscillatory systems
- Investigate the effects of varying amplitude on the motion of particles
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to clarify concepts related to harmonic motion.