DCS # | DEMONSTRATION | REFERENCE | ABSTRACT |
---|---|---|---|

3A95.00 | Non-Linear Systems | ||

3A95.10 | water relaxation oscillator | PIRA 1000 | |

3A95.10 | water relaxation oscillator | 33-1.4 | A cylinder is filled with water at a constant rate and periodically empties. |

3A95.12 | electrical and water relaxation osc. | AJP 39(5),575 | A water relaxation oscillator models a neon flasher relaxation oscillator. |

3A95.13 | pipet rinser oscillator | AJP 40(2),360 | The commercial pipet rinser is a much better relaxation oscillator than that in AJP 39(5),575. |

3A95.15 | wood relaxation oscillator | 3A95.15 | A wood block rides up and slides back on the inside of a turning hoop. |

3A95.20 | wood block relaxation oscillator | PIRA 1000 | |

3A95.20 | water feedback oscillator | 15-10.13 | A tubing and bellows arrangement to generate oscillations by feedback. Picture. |

3A95.22 | compound pendulum | AJP 45(10),994 | A driven, damped, adjustable compound pendulum for intermediate demonstrations and labs. |

3A95.25 | stopped spring | AJP 51(7),655 | Complete discussion and analysis of a stopped spring system. |

3A95.26 | non-linear springs | AJP 32(2),xiii | Two springs are attached in a "Y" arrangement, tie a string at two points along a spring so it becomes taut when extended, commercial "constant tension springs". |

3A95.28 | rubber band oscillations | AJP 42(8),699 | A review of the foundations a of the rubber band force law and how it applies to the oscillations of a loaded rubber band. |

3A95.31 | beyond SHM | TPT 13(6),367 | Shadow project an inertial pendulum onto a selenium photocell and display the resulting voltage on an oscilloscope. Distortion at large amplitude is apparent. |

3A95.32 | beyond SHM | AJP 44(7),666 | The design of a pendulum that can demonstrate the dependence of period on amplitude. Common laboratory supplies are used for construction, and timing is done with a stopwatch. Agreement between experimental data and theory to 1 in 1000 is conveniently obtainable. |

3A95.32 | large amplitude pendulum | AJP 45(4),355 | Use a rod instead of a string to support the bob and angles can reach 160 degrees. Construction details are given. |

3A95.33 | pendulum with large amplitude | PIRA 1000 | |

3A95.33 | pendulum with large amplitude | Disc 08-17 | Vary the from 5 to 80 degrees. |

3A95.35 | non-harmonic air glider | AJP 40(5),779 | A Jolly balance spring is attached from a point above the middle of an air track to the top of a glider. |

3A95.36 | nonlinear air track oscillator | AJP 50(3),220 | A length of rubber perpendicular to the air track axis provides a restoring force. Relative strengths of linear and nonlinear terms can be easily varied. |

3A95.37 | saline nonlinear oscillator | AJP 59(2),137 | A small cup with a hole in the bottom and filled with salt water is placed in a large vessel of pure water. The system does all sorts of nonlinear stuff that can be reproduced by numerical simulation. |

3A95.38 | perodic non-simple harmonic motion | PIRA 1000 | |

3A95.38 | periodic non-simple harmonic motion | Disc 08-23 | A large pendulum drives a restricted vertical pendulum. |

3A95.41 | anharmonic LRC circuit | AJP 53(6),574 | A linear LRC circuit demonstrates "soft" and "hard" spring nonlinear resonant behavior. |

3A95.43 | anharmonic oscillator | AJP 52(9),800 | An op amp with RC feedback network that behaves as a SHM oscillator for small inputs and then shifts to anharmonic when slew limiting occurs. |

3A95.45 | amplitude jumps | PIRA 1000 | |

3A95.45 | amplitude jumps | AJP 35(10),961 | Non linear oscillators driven by a variable periodic force: two systems are described. |

3A95.46 | anharmonic air track oscillator | AJP 36(4),326 | A driven air cart between two springs has a magnet on top. Perturbations are introduced by other magnets. Jump effect is shown. |

3A95.46 | amplitude jumps | AJP 38(6),773 | Use the small Cenco string vibrator to demonstrate amplitude jumps. |

3A95.50 | chaos systems | PIRA 1000 | |

3A95.50 | five chaos systems | AJP 55(12),1083 | Five simple systems, both mechanical and electronic, designed to demonstrate period doubling, subharmonics, noisy periodicity, and intermittent and continuous chaos. |

3A95.51 | chaos in the bipolar motor | AJP 58(1),58 | A simple bipolar model demonstrates chaos on the overhead projector. Plots require a digital scope or other equipment. |

3A95.53 | mechanical chaos demonstrations | TPT 28(1),26 | Three mechanical chaos demonstrations: paperclip pendulum over two disk magnets, balls in a double potential well, ball rolling on a balanced beam. |

3A95.54 | inverted pendulum chaos | AJP 59(11),987 | A driven inverted pendulum goes through the transition from periodic to chaotic motion and a sonic sensor is used to get data to a computer which does a FFT to get the power spectrum. |

3A95.55 | double scroll chaotic circuit | AJP 58(10),936 | A simple electronic circuit shows double scroll chaotic behavior on an oscilloscope. A simple program to display computer simulation is also included. |

3A95.55 | electronic chaos circuit | AJP 53(4),332 | An electronic circuit implementing a coupled logistic equation is used to demonstrate chaotic behavior in one or two dimensions on an oscilloscope |

3A95.60 | parametric resonance | PIRA 1000 | |

3A95.60 | parametric resonance | AJP 50(6),561 | A connecting-rod crank system to give vertical SHM to a pendulum. The parametric resonance state occurs when the pendulum is driven vertically at twice its frequency. |

3A95.61 | parametric phenomena | AJP 39(12),1522 | Parametric excitation of a resonant system is self excitation caused by a periodic variation of some parameter of the system. A brief history. |

3A95.62 | pendulum parametric amplifier | AJP 28(5),506 | On using a self-oscillating pendulum driver to demonstrate parametric amplification. |

3A95.63 | hula-hoop theory | AJP 28(2),104 | The hula-hoop as an example of heteroparametric excitation. |

3A95.66 | magnetic dunking duck | AJP 29(6),374 | Beak on a dunking duck is a magnet that triggers the driving circuit. |

3A95.70 | pump a swing | PIRA 1000 | |

3A95.70 | pump a swing | 3A95.70 | Periodically pull on the string of a pendulum. |

3A95.70 | pump a swing | 15-1.15 | A ball on a string hangs over a pulley. Increase the amplitude by pulling on the string periodically. |

3A95.70 | pump a swing | M-182 | Diagram. A electromagnet on a swing allows one to raise and lower the center of mass by a switch. |

3A95.70 | pump a swing | M-181 | Work up a swing by pulling on the cord at the right time. |

3A95.70 | pump pendulum | Disc 09-04 | Periodically pull on the string of a pendulum. |

3A95.71 | more on pumping a swing | AJP 38(7),920 | A pumped swing is analyzed and demonstrated as a simple pendulum whose length is a function of time. |

3A95.71 | pumping a swing comments | AJP 37(8),843 | Also discuss as an example of parametric amplification. Demonstration of the amplification process is shown. |

3A95.72 | pump a swing | AJP 36(12),1165 | Analysis and a picture tracing out three and one half cycles. |

3A95.73 | swinging | AJP 44(10),924 | Parametric amplification and starting from rest. |

3A95.73 | pump a swing | AJP 38(3),378 | The point-mass model of AJP 36(12),1165 prohibits starting from rest. This simplified rigid body model is sufficient to demonstrate the start from rest. |

3A95.73 | pump a swing | AJP 39(3),347 | More on the first pump. |

3A95.73 | start a swing | AJP 40(5),764 | Now we use a rigid swing support instead of a rope. |

3A95.80 | parametric instability | PIRA 1000 | |

3A95.80 | parametric instability | 3A95.80 | Same as AJP 48(3),218. |

3A95.80 | parametric instability | AJP 48(3),218 | Two springs in parallel support a block from which a "Y" pendulum swings. The two lowest order resonances are described in detail. |

Reference | Description |
---|---|

M-1 | Sutton |

Ma-1 | Freier & Anderson |

M-1d | Hilton |

8-2.8 | Meiners |

1A12.01 | University of Minnesota Handbook |

AJP 52(1),85 | American Journal of Physics |

TPT 15(5),300 | The Physics Teacher |

Disc 01-01 | The Video Encyclopedia of Physics Demonstrations |

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