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  • A General Materials and Mathematics
    • A1 Basic Materials and Measurement
    • A2 Mathematics
  • B Statics
    • B1 Center of Mass Statics
    • B2 Equilibrium of Forces and Torques
    • B3 Simple Machines
    • B4 Elasticity
  • C Kinematics and Dynamics
    • C1 Center of Mass Motion
    • C2 Kinematics in One and Two Dimensions
    • C3 First Law of Motion
    • C4 Second Law of Motion
    • C5 Third Law of Motion
    • C6 Friction
    • C7 Collisions
    • C8 Mechanical Energy and Power
  • D Rotational Mechanics
    • D1 Rotational Kinematics and Dynamics
    • D2 Moment of Inertia
    • D3 Angular Momentum
    • D4 Gyroscopes
    • D5 Rotational Esoterica
  • E Gravitation and Astronomy
    • E1 Gravitation and Orbits
    • E2 Astronomy
  • F Fluid Mechanics
    • F1 Pressure in Static Fluids
    • F2 Buoyancy
    • F3 Surface Tension
    • F4 Fluid in Motion
    • F5 Forces in Moving Fluids
  • G Vibrations and Mechanical Waves
    • G1 Simple Harmonic Motion
    • G2 Resonance and Coupled Oscillations
    • G3 Mechanical Waves - One Dimensional
    • G4 Mechanical Waves - Two Dimensional
  • H Sound
    • H1 Nature of Sound
    • H2 Wave Properties of Sound
    • H3 Standing Sound Waves
    • H4 Music
    • H5 The Ear
    • H6 The Voice
  • I Thermodynamics
    • I1 Thermal Properties of Matter
    • I2 Transfer of Heat
    • I3 Gases
    • I4 Changes of State
    • I5 Laws of Thermodynamics
    • I6 Kinetic Theory and Statistical Mechanics
    • I7 Solid State and Low Temperature Physics
  • J Electostatics and Magnetostatics
    • J1 Electrostatic Charge and Force
    • J2 Electrostatic Devices and Applications
    • J3 Electric FIelds and Potential
    • J4 Capacitance and Polarization
    • J5 Magnetostatics
    • J6 Electromagnets
    • J7 Magnetic Materials
  • K Electromagnetic Principles
    • K1 Forces on Moving Charges
    • K2 Electromagnetic Induction
    • K3 Transformers
    • K4 Motors and Generators
    • K5 Electrical Properties of Matter
    • K6 Electric Circuits and Instruments
    • K7 RLC Circuits
    • K8 Electromagnetic Waves and Sources
  • L Geometrical Optics
    • L1 Light Sources and Light Rays
    • L2 Plane Mirrors
    • L3 Curved Mirrors
    • L4 Refraction
    • L5 Total Internal Reflection
    • L6 Lenses
    • L7 Optical Instruments
  • M Wave Optics
    • M1 Interference and Diffraction - Slits and Gratings
    • M2 Diffraction - Circular
    • M3 Interferometers
    • M4 Thin Film Interference
    • M5 Interference and Diffraction Esoterica
    • M6 Holograms
    • M7 Linear Polarization and Scattering
    • M8 Optical Activity and Birefringence
    • M9 Circular Polarization
  • N Spectra and Color
    • N1 Continuous Spectra
    • N2 Line Spectra
    • N3 Color
  • O Vision
    • O1 Image Production
    • O2 Visual Latency
    • O3 Color Vision
    • O4 Optical Illusions
  • P Modern Physics
    • P1 Relativity
    • P2 Quantum Mechanics
    • P3 Atoms and Molecules
    • P4 Nuclei and Particles
  • Q Biophysics
    • Q1 Musculoskeletal Systems
    • Q2 Organs
    • Q3 Genetics and Molecular Biology

G1 Simple Harmonic Motion

This section introduces pendula and other simple oscillating systems

Articles
Image Title
G1-01 EXAMPLES OF SIMPLE HARMONIC MOTION
Illustrates simple harmonic motion
G1-11 COMPARISON OF SHM AND UCM
Demonstrates the relationship between simple harmonic motion and uniform circular motion.
G1-12: PENDULUM AND ROTATING BALL
Demonstrate that simple harmonic motion is the projection of uniform circular motion.
G1-13: MASS ON STRING
Illustrate uniform circular motion.
G1-14 PENDULA WITH DIFFERENT MASSES
Demonstrates independence of a simple pendulum's period with mass of the bob.
G1-15 PENDULA WITH 4 TO 1 LENGTH RATIO
Shows that period of a simple pendulum is proportional to the square root of its length
G1-16: PENDULUM WITH LARGE OSCILLATION
Show the difference between pendula with small amplitude and large amplitude of oscillation, and to show rotational motion where the kinetic energy at the top is much less than the change of potential energy from the top to the bottom of the oscillation.
G1-17: PENDULUM WITH LARGE-ANGLE OSCILLATION - PORTABLE
Illustrate large-angle pendular oscillations and the 360 degree pendulum.
G1-18: PENDULUM WITH FORCE SCALE
Show the tension in the string exerted by a swinging pendulum.
G1-20: GALILEO'S PENDULUM AND THE PENDULUM RELEASE CONUNDRUM
Encourage thought about the motion of a pendulum and related forces.
G1-31: HOOKE'S LAW AND SHM
Quantitatively demonstrate how the spring constant affects the period of a mass on a spring.
G1-32: MASS ON SPRING - WITH STAND
Illustrate SHM.
G1-33 MASSES AND SPRINGS WITH SPIDER
Compares frequencies of various mass-spring combinations
G1-34: AIR TRACK - SIMPLE HARMONIC MOTION
Demonstrate simple harmonic motion of a mass held by two springs.
G1-35: MASS ON SPRING - EFFICIENT MODEL
Illustrate the motion of a mass on a spring.
G1-36: MASS ON SPRING WITH FORCE MEASUREMENT
Display the time dependence of the force of a mass oscillating on a spring.
G1-37: MASS ON SPRING WITH ULTRASONIC RANGER
Plot graphs of position, velocity and acceleration for a mass oscillating on a spring.
G1-41: TORSIONAL PENDULUM - SMALL
Demonstrate torsional SHM, and to show the effect of moment of inertia on the period.
G1-43: KLINGER TORSIONAL VIBRATION MACHINE
Demonstrate torsional SHM, and to quantitatively show the effect of moment of inertia on the period.
G1-51: INVERTED SPRING PENDULUM
Illustrate a form of periodic vibration.
G1-52 STRINGLESS PENDULUM
Demonstrates an example of SHM
G1-53: SHM - CAN IN WATER TANK
Demonstrate one form of SHM.
G1-54: MASS'S DOUBLE PENDULUM
Demonstrate the transition of potential energy into energy of oscillation of the pendulum, and the operation of an escapement.
G1-55: INERTIA BALANCE
Illustrate the measurement of inertial mass using SHM.
G1-56: INVERTED PENDULUM - SABER SAW
Show the inverted pendulum dramatically.
G1-57: INVERTED PENDULUM - SPEAKER DRIVEN
Demonstrate the conditions for stability of an inverted pendulum.
G1-58: LOADED PENDULUM
Analog to the longitudinal motion of a particle in a particle accelerator driven by a sinusoidal accelerating potential.
G1-59: BIFILAR PENDULUM
Illustrate a system with two pendular modes of oscillation.
G1-60 CHAOS - TWO BIFILAR PENDULA
Illustrates chaotic motion
G1-71: LISSAJOUS FIGURES - SAND PENDULUM
Demonstrate Lissajous figures.
G1-73: LISSAJOUS FIGURES - FOURIER SYNTHESIZER
Show stable Lissajous figures.
G1-74: LISSAJOUS FIGURES - LASER AND LOUDSPEAKER
Show Lissajous figures created by music to form a laser show.
G1-81: OUIJA WINDMILL
Illustrate a combination of simultaneous orthogonal oscillations.
G1-82: PENDULUM WAVES
Create waves in a very dramatic way using a series of fifteen carefully adjusted independent pendula.
G1-83: PENDULUM WAVES - COMMERCIAL VERSION
Create waves in a very dramatic way using a series of carefully adjusted pendula of various lengths.

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