Vertical pendulum in phase space - PhysLab

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Vertical pendulum in phase space

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Student Manual

A paradigmatic physical system is the physical pendulum is experimentally studied using the acceleration and rotation. A smart phone sensor is used to analyze a vertical pendulum, which is in fact a bicycle wheel. The sensors used in the experiment include the smartphone’s inbuilt gyroscope and accelerometer. Gyroscope is used to measure angular velocity of the wheel while the accelerometer is used to measure the linear acceleration of wheel. A smartphone is fixed to the outside of a bicycle wheel whose axis is kept horizontal and fixed. The compound system, wheel plus smartphone, defines a physical pendulum which can rotate, giving full turns in one direction, or oscillate about its equilibrium position (performing either small or large oscillations). Measurements of the radial and tangential acceleration and the angular velocity obtained with smartphone sensors allows a deep insight into the dynamics of the system.

Sample Results Phase space of angular velocity and angular acceleration
Plot of angular velocity vs time
Combined plot of radial acceleration with angular velocity
Experiment Code 5.5
Version 2016-v1

Further Readings and References

  • Phase space
    Exploring phase space using smartphone acceleration and rotation sensors simultaneously, Martín Monteiro, Cecilia Cabeza and Arturo C Martí, European Journal of Physics, Volume 35, (2014).

Pictorial Procedure

Smart Physics | Tags: mechanics
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  • Home
  • About Us
    • Overview
    • Centre for Experimental Physics Education (CEPE)
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    • 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