3a10_10.jpg

 

Code Number: 3A10.10

Demo Title: Simple Pendulum

Condition: Excellent

Principle: Potential to Kinetic Energy, Simple Harmonic Motion

Area of Study: Oscillations & Acoustics

Equipment: 

Pendulum Bobs on Strings.

Procedure: 

Set the pendulum bob in oscillatory motion.

References:

  • Meng Pan, Jie Zhang, "Effect of Angular Amplitude on the Result of a Pendulum Experiment", TPT, Vol. 61, #3, March 2023, p. 175.
  • Peter F. Hinrichsen, "A Forgotten Simple Pendulum Period Equation", TPT, Vol. 59, #8, Nov. 2021, p. 646.
  • Xiaorong Deng, Jiarui Zhang, Qiushi Chen, Junhui Zhang, Wei Zhuang, "Measurement of g Using a Pendulum and a Smartphone Proximity Sensor", TPT, Vol. 59, #7, Oct. 2021, p. 584.
  • Jhon Alfredo Silva-Ale, "Determination of Gravity Acceleration with Smartphone Ambient Light Sensor", TPT, Vol. 59, #3, March 2021, p. 218.
  • Tom Greenslade, Jr., "Designing a Holder for Pendulum String", TPT, Vol. 59, #3, March 2021, p. 167.
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  • Paul Hewitt, "Figuring Physics Answer for December Question", TPT, Vol. 57, #1, Jan. 2019, p. 51.
  • Patrik Vogt and Jochen Kuhn, "Analyzing Simple Pendulum Phenomena with a Smart - Phone Acceleration Sensor", TPT, Vol. 50, #7, Oct. 2012, p. 439.
  • Martin Lieberherr, "Figuring the Acceleration of the Simple Pendulum", TPT, Vol. 49, #9, Dec. 2011, p. 576.
  • J. Sinacore and H. Takai, "Measuring g Using a Magnetic Pendulum and Telephone Pickup", TPT, Vol. 48, #7, Oct. 2010, p. 448.
  • Paul Hewitt, "Figuring Physics: Thalia on a Swing", TPT, Vol. 47, #6, Sept. 2009, p. 332.
  • Julio V. Santos-Benito and Albert Gras-Marti, "Ubiquitous Drawing Errors for the Simple Pendulum", TPT, Vol. 43, #7, Oct. 2005, p. 466.
  • Gerald E. Hite, "Approximations for the Period of a Simple Pendulum", TPT, Vol. 43, #3, May 2005, p. 290.
  • Keith Clay, "The Pendulum, Gravity, and That Number '9.8'", TPT, Vol. 42, #1, Jan. 2004, p. 14.
  • L. Edward Millet, "The Large-Angle Pendulum Period", TPT, Vol. 41, #3, Mar. 2003, p. 162.
  • Art Stinner and Don Metz, "Pursuing the Ubiquitous Pendulum", TPT, Vol. 41, #1, Jan. 2003, p. 25.
  • Ben Szapiro, "Simple-Pendulum Lab with a Twist", TPT, Vol. 40, #3, Mar. 2002, p. 158.
  • Richard B. Kidd and Stuart L. Fogg, "A Simple Formula for the Large-Angle Pendulum Period", TPT, Vol. 40, #2, Feb. 2002, p. 81.
  • James O'Connell, "Tension in a Pendulum String", TPT, Vol. 40, #1, Jan. 2002, p. 24.
  • R. Keith Bardin, "A Proposition Well Known to Geometers", TPT, Vol. 39, #6, Sept. 2001, p. 324.
  • Herman Erlichson, "A Proposition Well Known to Geometers", TPT, Vol. 39, #3, Mar. 2001, p. 152.
  • José M. Vaquero and M. C. Gallego, "An Old Apparatus for Physics Teaching: Escriche's Pendulum", TPT, Vol. 38, #7, Oct. 2000, p. 424.
  • David E. Holzwarth and Jim Malone, "Pendulum Period Versus Hanging-Spring Period", TPT, Vol. 38, #1, Jan. 2000, p. 47.
  • Herman Erlichson, "Galileo's Pendulum", TPT, Vol. 37, #8, Nov. 1999, p. 478.
  • M. I. Molina, "Simple Linearizations of the Simple Pendulum for Any Amplitude", TPT, Vol. 35, #8, Nov. 1997, p. 489.
  • David L. Herrick, "Constant-Magnitude Acceleration on a Curved Path", TPT, Vol. 34, #5, May 1996, p. 306.
  • David P. Jackson, "Rendering the 'Not-So-Simple Pendulum' Experimentally Accessible", TPT, Vol. 34, #2, Feb. 1996, p. 86.
  • Cindy Schwarz, "The Not-So-Simple Pendulum", TPT, Vol. 33, #4, Apr. 1995, p. 225.
  • T. F. Zheng, M. Mears, D. Hall, and D. Pushkin, S. Jorgensen, K. R. Banks, R. J. Hyatt, and Y. M. Shleyzer, "Teaching the Nonlinear Pendulum", TPT, Vol. 32, #4, Apr. 1994, p. 248.
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  • Vincent Santarelli, Joyce Carolla, and Michael Ferner, "A New Look at the Simple Pendulum", TPT, Vol. 31, #4, Apr. 1993, p. 236.
  • Donald G. Bruns, "Synchronized Swinging", TPT, Vol. 26, #4, Apr. 1988, p. 220.
  • Gaylord T. Hageseth, "The Liquid Pendulum", TPT, Vol. 25, #7, Oct. 1987, p. 427.
  • E. Scott Barr, "π2≊g", TPT, Vol. 19, #7, Oct. 1981, p. 448.
  • Mario Iona, "Due to Damping or Amplitude?", TPT, Vol. 19, #5, May 1981, p. 353.
  • Robert Kern Curtis, "The Simple Pendulum Experiment", Vol. 19, #1, Jan. 1981, p. 36.
  • Anthony Pitucco, "An Approximation of  a Simple Pendulum", TPT, Vol. 18, #9, Dec. 1980, p. 666.
  • Gordon R. Rode, "How Could We?", TPT, Vol. 17, #8, Nov. 1979, p. 496.
  • Leung Chinn, "Demonstration of the Conservation of Mechanical Energy", TPT, Vol. 17, #6, Sept. 1979, p. 385.
  • G. Bergamasco and E. Colombo, "Displaying Pendulum Motion on the CRO", TPT, Vol. 17, #1, Jan. 1979, p. 58.
  • A. B. Arons, "The Author Replies", TPT, Vol. 15, #8, Nov. 1977, p. 509.
  • Mario Iona, "Simple or Physical Pendulum", TPT, Vol. 15, #8, Nov. 1977, p. 453.
  • Arnold B. Arons, "How Long is a Simple Pendulum?", TPT, Vol. 15, #5, May 1977, p. 300.
  • Ian G. Ellis, "Anharmonic Motion Illustrator", TPT, Vol. 13, #6, Sept. 1975, p. 367.
  • R. Mathevet, N. Lamrani, L. Martin, et al., "Quantitative Analysis of a Smartphone Pendulum Beyond Linear Approximation: A Lockdown Practical Homework", AJP, Vol. 90, #5, May 2022, p. 344.
  • Salvador Gil, Andrés E. Legarreta, and Daniel E. Di Gregorio, "Measuring Anharmonicity in a Large Amplitude Pendulum", AJP, Vol. 76, #9, Sept. 2008, p. 843.
  • F. M. S. Lima and P. Arun, "An Accurate Formula for the Period of a Simple Pendulum Oscillating Beyond the Small Angle Regime", AJP, Vol. 74, #10, Oct. 2006, p. 892.
  • Margaret Stautberg Greenwood, "Using Videotapes to Study Underdamped Motion of a Pendulum: A Laboratory Project", AJP, Vol. 55, #7, July 1987, p. 645.
  • D. L. Livesey, "The Precession of Simple Pendulum Orbits", AJP, Vol. 55, #7, July 1987, p. 618.
  • Robert A. Nelson and M. G. Olsson, "The Pendulum - Rich Physics from a Simple System", AJP, Vol. 54, #2, Feb. 1986, p. 112.
  • W. P. Ganley, "Simple Pendulum Approximation", AJP, Vol. 53, #1, Jan. 1985, p. 73.
  • G. Wilkening and J. Hesse, "Electrical Pendulum for Educational Purpose", AJP, Vol. 49, #1, Jan. 1981, p. 90.
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  • Saul T. Epstein and M. G. Olsson, "Comment on 'Effect of the Mass of the Cord on the Period of a Simple Pendulum'", AJP, Vol. 45, #7, July 1977, p. 671.
  • Donald E. Hall and Michael J. Shea, "Large-Amplitude Pendulum Experiment: Another Approach", AJP, Vol. 45, #4, Apr. 1977, p. 355.
  • Stephen D. Schery, "Design of an Inexpensive Pendulum for Study of Large-Angle Motion", AJP, Vol. 44, #7, July 1976, p. 666.
  • Frank S. Crawford, "Damping of a Simple Pendulum", AJP, Vol. 43, #3, Mar. 1975, p. 276.
  • B. J. Miller, "More Realistic Treatment of the Simple Pendulum without Difficult Mathematics", AJP, Vol. 42, #4, Apr. 1974, p. 298.
  • J. V. Hughes, "Possible Motions of Sphere Suspended on a String (The Simple Pendulum)", AJP, Vol. 21, #1, Jan. 1953, p. 47.
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  • "M-884. Simple Pendulum", DICK and RAE Physics Demo Notebook.
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  • Borislaw Bilash II and David Maiullo, "How Does It Swing", A Demo a Day: A Year of Physics Demonstrations, p. 172.
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  • W. Bolton, "30. Simple Harmonic Motion (1)", Book I - Properties of Materials, Physics Experiments and Projects, 1968, p. 47.
  • W. Bolton, "29. The Pendulum", Book I - Properties of Materials, Physics Experiments and Projects, 1968, p. 45 - 46.
  • Borislaw Bilash II, “Simple Pendulums“, A Demo A Day – A Year of Physical Science Demonstrations, p. 240.
  • Julius Sumner Miller, Q73 & A73, Millergrams I – Some Enchanting Questions for Enquiring Minds, p. 48 & 102.
  • Joseph Frick, "#121 - The Pendulum", Physical Technics: Or, Practical Instructions for Making Experiments in Physics and the Construction of Physical Apparatus with the Most Limited Means", p. 145.

University of Maryland Physics Department QOTW Question #104
University of Maryland Physics Department QOTW Answer #104
University of Maryland Physics Department QOTW Question #338
University of Maryland Physics Department QOTW Answer #338
University of Maryland Physics Department QOTW Question #339
University of Maryland Physics Department QOTW Answer #339

Video Credit: Jonathan M. Sullivan-Wood.

3A10.10 - 1 Meter Length Simple Pendulum
3A10.10 - 4 Meter Length Simple Pendulum
3A10.10 - Dr. James Wetzel, PHYS 1611 - Simple Pendulum
3A10.10 - University of Maryland QOTW Question #104

 

3A10.10 - University of Maryland QOTW Answer #104
3A10.10 - University of Maryland QOTW Question #338
3A10.10 - University of Maryland QOTW Answer #338

 


3A10.10 - University of Maryland QOTW #339