Wilberforce pendulum

A Wilberforce pendulum alternates between two oscillation modes.

A Wilberforce pendulum, invented by British physicist Lionel Robert Wilberforce around 1896,[1] consists of a mass suspended by a long helical spring and free to turn on its vertical axis, twisting the spring. It is an example of a coupled mechanical oscillator, often used as a demonstration in physics education. The mass can both bob up and down on the spring, and rotate back and forth about its vertical axis with torsional vibrations. When correctly adjusted and set in motion, it exhibits a curious motion in which periods of purely rotational oscillation gradually alternate with periods of purely up and down oscillation. The energy stored in the device shifts slowly back and forth between the translational 'up and down' oscillation mode and the torsional 'clockwise and counterclockwise' oscillation mode, until the motion eventually dies away.[2]

Despite the name, in normal operation it does not swing back and forth as ordinary pendulums do. The mass usually has opposing pairs of radial 'arms' sticking out horizontally, threaded with small weights that can be screwed in or out to adjust the moment of inertia to 'tune' the torsional vibration period.

  1. ^ Wilberforce, Lionel Robert (1896). "On the vibrations of a loaded spiral spring". Philosophical Magazine. 38: 386–392. doi:10.1080/14786449408620648. Retrieved 2008-01-09.
  2. ^ Berg, Richard E.; Marshall, Todd S. (May 4, 1990). "Wilberforce pendulum oscillations and normal modes" (PDF). American Journal of Physics. 59 (1): 32–37. doi:10.1119/1.16702. Retrieved 2008-05-03.

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