SUMMARY
A mass of 100 g suspended from a spring exhibits simple harmonic motion with a period of 0.993 seconds. The spring constant (k) can be calculated using the formula k = (4π²m) / T². Substituting the mass (0.1 kg) and the period (0.993 s) into the equation yields a spring constant of approximately 0.637 N/m. This calculation confirms the relationship between mass, period, and spring constant in harmonic motion.
PREREQUISITES
- Understanding of simple harmonic motion principles
- Familiarity with the formula T = 2π(m/k)^(1/2)
- Basic knowledge of mass and spring systems
- Ability to perform unit conversions (grams to kilograms)
NEXT STEPS
- Study the derivation of the formula for the period of a spring-mass system
- Explore the effects of varying mass on the spring constant
- Learn about energy conservation in simple harmonic motion
- Investigate real-world applications of harmonic motion in engineering
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and harmonic motion, as well as educators looking for examples of spring-mass systems in action.