Wilberforce Pendulum - PhysLab

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Wilberforce Pendulum

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Student Manual

The harmonic oscillator, with all its manifestations, is an extensively studied system. It possesses a single degree of freedom. More complicated systems have more degrees of freedom, for example, two pendulums connected by a spring. In such cases, the behaviour of each variable influences the other which leads to a coupling between the individual degrees of freedom. Energy can toggle between the two degrees of freedom. A well-known example is the Wilberforce pendulum, where the oscillation alternates between the longitudinal stretching of a vertical spring and the rotation of a cylindrical object hung at the end of that spring. The aim of this experiment is to investigate the dynamics of the Wilberforce pendulum.

Software Code Phystrack
Sample Results Vertical oscillations for various moments of inertia
Fourier contents for various moments of inertia
Square of difference of squares of normal modes versus inverse of moments of inertia
Hardware Manual Machining dimensions of the oscillating mass
Specifications of the Wilberforce pendulum owned by Physlab
Experiment Code 2.24
Version Version 2018-1

Further Readings and References

  • Ch15 Oscillations
    Introduction to Physics, R. Resnick, D. Halliday, K. S. Krane, 5, 390-413, (2001).
  • Wiberforce pendulum oscillations and normal modes
    American Journal of Physics, Richard E. Berg and Todd S. Marshall, 59, 32-38, (1991).
  • The Pendulum: A Case Study in Physics
    Oxford University Press, Gregory L. Baker, James A. Blackburn, 8-16, (2005).

Pictorial Procedure



Lab 2 . Smart Physics | Tags: mechanics, waves and oscillations
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  • Home
  • About Us
    • Overview
    • Centre for Experimental Physics Education (CEPE)
    • Physlab Team
    • Physlab Guidebook
    • Alumni
    • Open Positions
    • Muhammad Sabieh Anwar (Personal)
  • Academics
    • Lab Courses
    • Lab-I (ENGG-100/PHY-100/200)
    • Lab-II (PHY 300/500)
    • AstroLAB
    • Ibn Sahl Corner for Optics
    • Fast Optics
    • Smart Physics
    • Single Photon Quantum Mechanics Lab
    • Chasing Cosmic Ray Muons at Physlab
    • Stories
    • Physics Studio
    • Research Stories
    • Class Activities
    • Courses Taught
    • Class Demonstrations
    • PhysDiary
    • Health and Safety
    • Lab Safety
    • Workplace Organization
  • Research
    • Research Themes
    • Research Internships
    • Research Stories
    • Physics WorldCup
      • International Young Physicists’ Tournament (IYPT) 2019
      • International Young Physicists’ Tournament (IYPT) 2018
      • International Young Physicists’ Tournament (IYPT) 2016
    • Hunerkada
    • Grants
    • Theses and Reports
    • Scientific Publications
    • Invited Talks (Selected)
  • Outreach
    • Media
      • Lectures, Podcasts and Interviews
      • Videobytes
      • YouTube Channel
      • Visitors
      • Testimonials
    • The Scientific Mind Through the Eyes of a Physics Experimenter
    • National Laboratory Immersion Program
      • First Lahore 2012
      • Second Sukkur 2013
      • Third Lahore 2014
      • Fourth Lahore 2016
    • Labview Workshop 2016
    • Open house
      • 2009-2015
      • Open house 2023
    • Khwarizmi Science Society
    • Helping Pakistan’s Universities
      • National University of Technology (NUTECH) 2019
      • Pakistan Institute of Engineering and Applied Sciences
        (PIEAS) 2019 (Final Phase)
      • Pakistan Institute of Engineering and Applied Sciences
        (PIEAS) 2019 (Phase 2)
      • Pakistan Institute of Engineering and Applied Sciences
        (PIEAS) 2018 (Phase 1)
      • National University of Science & Technology 2016
      • Habib University 2014
      • Preston University 2013
      • Ghulam Ishaque Khan Institute of
        Engineering Sciences and Technology 2011
      • Institute of Space Technology 2010
    • The National STEM School
      • STEM School (2018 – 2019)
      • STEM school (2016 – 2017)
    • Abdus Salam Memorial Lecture Series
  • Facilities
    • Laboratories
    • Equipments
    • Devices & Softwares
      • PhysPlot
      • Physlogger
      • Phystrack
    • Mechanical Workshop
    • Inventory
    • 3D Printed Galleria
    • Forms
    • Equipment Howto’s
  • PhysGPT
  • Contact Us