SUMMARY
The discussion centers on calculating the frequency of oscillation for a mass-spring system, specifically a 0.31-kg mass attached to a spring with a spring constant of 13 N/m. The correct formula for the period (T) of oscillation is T = 2π√(m/k), leading to a calculated period of approximately 0.3166 seconds. Consequently, the frequency (f) is determined using f = 1/T, resulting in a frequency of approximately 3.16 Hz. It is clarified that the displacement does not affect the period of oscillation in simple harmonic motion (SHM).
PREREQUISITES
- Understanding of simple harmonic motion (SHM)
- Familiarity with the mass-spring system dynamics
- Knowledge of the formulas for period and frequency
- Basic algebra for manipulating equations
NEXT STEPS
- Study the derivation of the period formula for simple harmonic motion
- Explore the effects of mass and spring constant on oscillation frequency
- Learn about damping and its impact on oscillatory systems
- Investigate real-world applications of mass-spring systems in engineering
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators teaching concepts of simple harmonic motion and mass-spring systems.