Topic — Periodic motions governed by restoring forces, damping and resonance.
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04b
Linked atoms
55 linked atoms.
04b Oscillations and simple harmonic motion
- Beats: energy migration
- From two oscillators to the vibrating string
- Energy in the harmonic oscillator
- Worked example — Two pendulums coupled by a string
- Worked example — Mass, spring and damping
- Worked example — Vertical spring with energy balance
- Worked example — Pendulum that beats seconds
- Worked example — Compound pendulum
- Worked example — Pendulum on Mars
- Worked example — Finding A and φ from initial conditions
- Worked example — Maximum velocity from energy
- Forces and the pendulum equation
- Large amplitudes: correction to the period
- The simple harmonic motion equation
- The solution: sine and cosine
- Normal modes of the coupled oscillator
- Forced oscillations and resonance
- Damped oscillations
- Small oscillations and the period of the pendulum
- Problem — Amplitude and period of the swing
- Problem — Glass of water on the swing
- Problem — From amplitude to k
- Problem — From measurements of a damped oscillation to Q
- Problem — Given the graph, find k
- Problem — Two coupled swings
- Problem — Energy and amplitude
- Problem — Natural frequency of a skyscraper
- Problem — Graphs of position, velocity and acceleration
- Problem — Double gravity
- Problem — Reading a damped oscillation graph
- Problem — Length of the seconds pendulum
- Problem — Mass hanging on a spring suspension
- Problem — Mass between two springs, equivalent K
- Problem — Mass on two springs in parallel
- Problem — Object in a spherical bowl
- Problem — Pendulum clock and temperature
- Problem — Simple harmonic oscillator (250 g)
- Problem — Oscillation without damping
- Problem — Footsteps on the bridge
- Problem — Lead and cork pendulums
- Problem — Wet pendulum
- Problem — Pendulum measuring g
- Problem — Clock pendulum
- Problem — Non-isochronous pendulum
- Problem — Pendulum on the Space Station
- Problem — Period and frequency of a mass-spring system
- Problem — Ranking springs and masses
- Problem — Ranking pendulums
- Problem — Resonance of the glass
- Problem — Rhythmic clapping and bridges
- Problem — Damping and isochronism
- Problem — Maximum velocity and acceleration
- Problem — Vibrations of the Sun
- All small oscillations are harmonic
- Velocity and acceleration in simple harmonic motion