SUMMARY
The discussion centers on calculating the displacement of a 1.10 kg mass on a spring using the equation x(t)=(7.40cm)cos[(4.16rad/s)t−2.42rad]. The correct displacement at t=1.00s is derived by ensuring the calculator is set to radians, resulting in a displacement of approximately 0.0740m. A common mistake highlighted is the confusion between degrees and radians in calculator settings, which can lead to incorrect results. The importance of verifying calculator mode is emphasized for accurate calculations in physics.
PREREQUISITES
- Understanding of Simple Harmonic Motion (SHM)
- Familiarity with trigonometric functions and their applications
- Knowledge of radians versus degrees in angular measurements
- Basic proficiency in using scientific calculators
NEXT STEPS
- Review the principles of Simple Harmonic Motion (SHM) in physics
- Learn how to convert between degrees and radians effectively
- Practice solving SHM problems using different initial conditions
- Explore the use of graphing calculators for visualizing SHM
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for common pitfalls in teaching SHM concepts.
