Simple Harmonic Motion
Learning Time: 5-15 hours
Content: Simple harmonic motion (SHM) is a subject that examines periodic motions in which the restoration force is proportional to the displacement. This subject covers spring systems, pendulum motion, amplitude, frequency, period, energy transformations (kinetic and potential), phase angle, and damping effects. TYT focuses on fundamental SHM equations, while AYT focuses on complex systems and applications. The current 2025 curriculum also covers seismic sensors and vibration analysis technologies. Learning this subject forms the basis for wave and vibration systems.
- Definition of Simple Harmonic Motion:
- Properties of SHM (Periodic and Restoration Force)
- F = -kx (Hooke’s Law)
- Relationship between Displacement, Velocity and Acceleration
- SHM Parameters:
- Amplitude (A)
- Frequency (f = 1/T)
- Period (T = 2π√(m/k))
- Phase Angle and Phase Difference
- Spring Systems:
- Horizontal Spring Motion
- Vertical Spring Motion (Mass Effect)
- Conservation of Energy (1/2kx² + 1/2mv²)
- Pendulum Motion:
- Simple Pendulum (T = 2π√(L/g))
- Physical Pendulum
- Small Angle Approximation
- Energy and Damping:
- Kinetic and Potential Energy Conversion
- Damping Effect (Friction and Air Resistance)
- Energy Loss and Reduced Amplitude
- Applications:
- Clock Mechanisms
- Seismic Sensors
- Vibration Analysis in Engineering
- Affecting Factors:
- Mass and Spring Constant
- Friction and Ambient Conditions
- Initial Conditions (Displacement, Velocity)
- Modern Developments:
- Vibration Isolation Systems
- Microelectromechanical Systems (MEMS)
- Simulation Software
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
