Tuesday, 17 June 2014 15:37
G1-56: INVERTED PENDULUM - SABER SAW
Additional Info
- ID Code: G1-56
- Purpose: Show the inverted pendulum dramatically.
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Description:
A rigid rod with a ball on the end is mounted vertically upward from its pivot point, which is the blade mount of a saber saw. If the pivot point is oscillated vertically at a rapid frequency with a small amplitude, the pendulum will have a stable equilibrium position vertically upward, and will slowly execute simple harmonic motion about that position.
Click here to see a simulation of an inverted pendulum by Erik Neumann.
- Availability: Available
- References: REFERENCES: (PIRA 3A60.61) See Demonstration Reference File for a large number of papers discussing the stability and other aspects of the inverted pendulum.
- Loc codes: OS11
Published in
G1 Simple Harmonic Motion
Tagged under
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G1-01 EXAMPLES OF SIMPLE HARMONIC MOTION
Illustrates simple harmonic motion
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G1-11 COMPARISON OF SHM AND UCM
Demonstrates the relationship between simple harmonic motion and uniform circular motion
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G1-12: PENDULUM AND ROTATING BALL
Demonstrate that simple harmonic motion is the projection of uniform circular motion Read More
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G1-13: MASS ON STRING
Illustrate uniform circular motion Read More
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G1-14 PENDULA WITH DIFFERENT MASSES
Demonstrates independence of a simple pendulum's period with mass of the bob
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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
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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… Read More
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G1-17: PENDULUM WITH LARGE-ANGLE OSCILLATION - PORTABLE
Illustrate large-angle pendular oscillations and the 360 degree pendulum Read More
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G1-18: PENDULUM WITH FORCE SCALE
Show the tension in the string exerted by a swinging pendulum Read More
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G1-20: GALILEO'S PENDULUM AND THE PENDULUM RELEASE CONUNDRUM
Encourage thought about the motion of a pendulum and related forces Read More
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G1-31: HOOKE'S LAW AND SHM
Quantitatively demonstrate how the spring constant affects the period of a mass on a spring Read More
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G1-32: MASS ON SPRING - WITH STAND
Illustrate SHM Read More
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G1-33 MASSES AND SPRINGS WITH SPIDER
Compares frequencies of various mass-spring combinations
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G1-34: AIR TRACK - SIMPLE HARMONIC MOTION
Demonstrate simple harmonic motion of a mass held by two springs Read More
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G1-35: MASS ON SPRING - EFFICIENT MODEL
Illustrate the motion of a mass on a spring Read More
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G1-36: MASS ON SPRING WITH FORCE MEASUREMENT
Display the time dependence of the force of a mass oscillating on a spring Read More
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G1-37: MASS ON SPRING WITH ULTRASONIC RANGER
Plot graphs of position, velocity and acceleration for a mass oscillating on a spring Read More
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G1-41: TORSIONAL PENDULUM - SMALL
Demonstrate torsional SHM, and to show the effect of moment of inertia on the period Read More
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G1-43: KLINGER TORSIONAL VIBRATION MACHINE
Demonstrate torsional SHM, and to quantitatively show the effect of moment of inertia on the period Read More
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G1-51: INVERTED SPRING PENDULUM
Illustrate a form of periodic vibration Read More
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G1-52 STRINGLESS PENDULUM
Demonstrates an example of SHM
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G1-53: SHM - CAN IN WATER TANK
Demonstrate one form of SHM Read More
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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 Read More
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G1-55: INERTIA BALANCE
Illustrate the measurement of inertial mass using SHM Read More
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G1-56: INVERTED PENDULUM - SABER SAW
Show the inverted pendulum dramatically Read More
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G1-57: INVERTED PENDULUM - SPEAKER DRIVEN
Demonstrate the conditions for stability of an inverted pendulum Read More
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G1-58: LOADED PENDULUM
Analog to the longitudinal motion of a particle in a particle accelerator driven by a sinusoidal accelerating potential Read More
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G1-59: BIFILAR PENDULUM
Illustrate a system with two pendular modes of oscillation Read More
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G1-60 CHAOS - TWO BIFILAR PENDULA
Illustrates chaotic motion
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G1-71: LISSAJOUS FIGURES - SAND PENDULUM
Demonstrate Lissajous figures Read More
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G1-73: LISSAJOUS FIGURES - FOURIER SYNTHESIZER
Show stable Lissajous figures Read More
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G1-74: LISSAJOUS FIGURES - LASER AND LOUDSPEAKER
Show Lissajous figures created by music to form a laser show Read More
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G1-81: OUIJA WINDMILL
Illustrate a combination of simultaneous orthogonal oscillations Read More
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G1-82: PENDULUM WAVES
Create waves in a very dramatic way using a series of fifteen carefully adjusted independent pendula Read More
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G1-83: PENDULUM WAVES - COMMERCIAL VERSION
Create waves in a very dramatic way using a series of carefully adjusted pendula of various lengths Read More
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