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

3A70.00 | Coupled Oscillations | ||

3A70.10 | Wilberforce pendulum | PIRA 200 | Energy transfers between vertical and torsional modes. |

3A70.10 | Wilberforce pendulum | 3A70.10 | A mass on a spring with outriggers is tuned so the three modes of oscillation will couple. |

3A70.10 | Wilberforce pendulum | Mx-11 | The Wilberforce pendulum. |

3A70.10 | Wilberforce pendulum | S-18 | Transfer of energy between torsional vibration and vertical oscillation in the Wilberforce pendulum. |

3A70.10 | Wilberforce pendulum | M-14f.1 | Shows two Wilberforce pendula. |

3A70.10 | Wilberforce pendulum | S-4a.4 | A small Wilberforce pendula. |

3A70.10 | Wilberforce pendulum | Disc 09-08 | Energy transfers between vertical and torsional modes. |

3A70.11 | Wilberforce pendulum analysis | AJP 58(9),833 | Analysis of the Wilberforce pendulum. Compare theory with experiment. |

3A70.12 | Wilberforce pendulum | TPT 21(4),257 | Directions for making an inexpensive Wilberforce pendulum, including winding the spring. |

3A70.14 | swinging mass on a spring | AJP 46(1),110 | Derivation with the additional hint that you can use a weak spring by adding a length of string to increase the period of the pendulum motion. |

3A70.15 | swinging mass on a spring | PIRA 1000 | |

3A70.15 | swinging mass on a spring | 3A70.15 | The oscillation mode of a mass on a spring couples with the pendulum mode. |

3A70.15 | swinging mass on a spring | AJP 44(12),1121 | Analysis of autoparametric resonance that occurs when the rest length of a spring is stretched by about one third by a mass. |

3A70.15 | swinging mass on a spring | 15-1.12 | Oscillations couple if the frequency of a mass on a spring is twice the pendulum mode frequency. |

3A70.16 | swinging mass on a spring -uncoupled | AJP 48(6),488 | The special case in which the angular frequency of the spring and the frequency of the pendulum are equal, where the equations of motion actually uncouple and yield independent vertical and pendular motion. The simple apparatus is shown. |

3A70.17 | spring pendulum | 15-1.13 | Time the period of a 12" pendulum, take a 12" spring and add mass until the period is the same. Show the extension is 12" |

3A70.20 | coupled pendula | PIRA 200 | Hang two or three pendula from a flexible metal frame. |

3A70.20 | coupled pendula | 3A70.20 | Two pendula are hung from a flexible metal frame. A third can be added. |

3A70.20 | coupled pendula | 15-9.2 | Two bobs suspended from a suspended horizontal dowel. |

3A70.20 | coupled pendula | S-4a.3 | Rods and spring steel support two pendula. The picture is less than clear. |

3A70.21 | coupled pendula | Mx-12 | There identical pendula are coupled by a slightly flexible support. |

3A70.21 | coupled pendula | Sa-1 | Three identical pendula hang from a slightly flexible stand. |

3A70.22 | projection coupled pendula | Sa-2 | Two small coupled pendula hang from a slightly flexible stand on a clear base. |

3A70.25 | spring coupled pendula | PIRA 500 | |

3A70.25 | spring coupled pendula | 3A70.25 | Two pendula are coupled with a light spring. |

3A70.25 | spring coupled pendula | Mx-10 | Two equal adjustable pendula coupled with a light spring. |

3A70.26 | spring coupled pendula | 15-9.1 | Two identical bobs are coupled with a leaf spring. |

3A70.27 | spring coupled physical pendua | PIRA 1000 | |

3A70.27 | coupled pendula | 15-9.3 | Two bowling ball bobs on aluminum rods allowing for length adjustments are coupled with a light spring between the rods. |

3A70.27 | coupled pendula | Disc 09-07 | Two physical pendula are coupled by a spring. |

3A70.30 | string coupled pendula | PIRA 1000 | |

3A70.30 | string coupled pendula | 3A70.30 | Pendula are suspended from a horizontal string. |

3A70.30 | string coupled pendula | AJP 49(12),1245 | Theory and diagram of the string-coupled pendula. |

3A70.30 | string coupled pendula | S-17 | Two pendula are coupled on a string. Coupling time depends on the string tightness, amplitude depends on the mass. |

3A70.30 | string coupled pendula | S-4a.1 | Two pendula are suspended from a common string. |

3A70.31 | triple pendula | AJP 45(11),1022 | A spring coupled triple pendulum used to demonstrate the character of normal modes and in particular a mode that has high Q even with the center pendulum highly damped. The mathematically similar to the equations of three coupled quantum mechanical levels. |

3A70.32 | resonant double pendulum | AJP 53(11),1114 | This double pendulum system with modes that differ by a factor of two has not yet been completely solved. |

3A70.33 | varied length coupled pendula | 15-9.4 | A symmetrical arrangement of seven steel balls are coupled 6" below their anchor points with a long wooden bar through which the cords pass. Energy transfers from one end to the other. |

3A70.35 | double simple pendulum | AJP 38(4),536 | Analysis of two masses on the same string with combinations of the masses and strings being equal or unequal. |

3A70.36 | over-under pendula | 15-9.6 | A light pendulum suspended from a heavy pendulum. |

3A70.38 | electrostatically coupled pendula | 29-4.9 | Two pith ball pendula couple only when they are charged with the same polarity. |

3A70.40 | inverted coupled pendula | PIRA 1000 | |

3A70.40 | inverted coupled pendula | A-8b | Two vertical hacksaw blades with weights at the top are coupled at the bottom. |

3A70.41 | coupled upside down pendula | 15-9.5 | Two adjustable upside down pendula are coupled with a rubber band. Also shows beats. |

3A70.45 | coupled masses on springs | PIRA 1000 | |

3A70.50 | oscillating magnets | PIRA 1000 | |

3A70.50 | oscillating magnets | TPT 18(1),39 | You really have to see the picture of this to believe it. |

3A70.55 | coupled compass needles | AJP 56(3),200 | Oscillations of two compass needles couple. |

3A70.56 | coupled magnets | AJP 28(8),744 | Two magnets are suspended from a suspended wooden wand, all horizontal. Oscillations couple and attain a final north-south alignment. |

3A70.60 | ball & curved track pendulum | AJP 56(4),345 | Analysis of the peculiar motion of a quarter circle track pendulum with a ball bearing. |

3A70.70 | rotating 2D coupled oscillations | AJP 37(8),841 | Examine the oscillations of a "Y" pendulum as it is rotated at varying speeds. |

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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