Why this chapter matters
Oscillations appear in clocks, instruments, sensors, and many natural systems where repeated motion carries information.
What you will learn
- Describe simple harmonic motion using displacement, velocity, acceleration, and phase relationships.
- Relate period and frequency to mass-spring and pendulum system parameters.
- Track energy exchange between kinetic and potential forms during oscillation.
Lessons in this chapter
- Periodic motion basicsIdentify amplitude, period, and frequency from representations.
- Mass-spring systemsUse restoring-force and period relationships for horizontal and vertical setups.
- Pendulum modelsApply small-angle approximations and discuss model limits.
- Energy in oscillationsExplain how total energy remains constant in an ideal undamped oscillator.
Study task
For a spring-mass system with known k and m, compute period and sketch energy versus time over one cycle.
Chapter checkpoint
A mass-spring oscillator has period T = 2.0 s. What is its frequency?
Frequency f = 1/T = 1/2.0 = 0.50 Hz.