13. OSCILLATIONS
The chapter explores oscillations, defining periodic and oscillatory motions, and detailing the principles behind simple harmonic motion (SHM), including its characteristics and mathematical representations. It also discusses the connections between SHM and uniform circular motion. Finally, the dynamics of a simple pendulum and the energies involved in SHM are examined.
Enroll to start learning
You've not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Sections
Navigate through the learning materials and practice exercises.
What we have learnt
- Periodic motion occurs when an object returns to its initial position after a fixed duration.
- Simple harmonic motion is characterized by a sinusoidal displacement function dependent on time.
- The total mechanical energy in SHM is conserved, and energy oscillates between kinetic and potential forms.
Key Concepts
- -- Periodic Motion
- Motion that repeats itself at regular intervals of time.
- -- Simple Harmonic Motion (SHM)
- A type of periodic motion where the restoring force is proportional to the displacement from the equilibrium position, resulting in sinusoidal displacement over time.
- -- Amplitude
- The maximum displacement from the equilibrium position in SHM.
- -- Frequency
- The number of cycles of motion completed in a unit of time; in SHM, it is the reciprocal of the period.
- -- Restoring Force
- The force that acts to bring a oscillating body back toward the equilibrium position.
- -- Potential Energy in SHM
- The stored energy in the system caused by its position, which varies with displacement in SHM.
- -- Kinetic Energy in SHM
- The energy of a particle in motion, which varies periodically as the object oscillates.
Additional Learning Materials
Supplementary resources to enhance your learning experience.