Pendulum Motion: Difference between revisions

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===Properties of Pendulum Motion===
===Properties of Pendulum Motion===
A pendulum is just a mass hanging from a spring moving back and forth. In order to describe a pendulum, you need to understand its properties and parameters. There is a string with length, a mass “m” hanging from the string, and it is pulled away from its equilibrium, there is an angle measured off the vertical. The two forces acting on the pendulum when it is pulled away from its equilibrium are the string tension, Ft and the gravity, F = mg.


[[File:penduloTmg.gif|thumb| Animation of a pendulum showing  
[[File:penduloTmg.gif|thumb| Animation of a pendulum showing  
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  gravitational force mg. [https://en.wikipedia.org/wiki/Pendulum Link]]]
  gravitational force mg. [https://en.wikipedia.org/wiki/Pendulum Link]]]


A pendulum is just a mass hanging from a spring moving back and forth. In order to describe a pendulum, you need to understand its properties and parameters. There is a string with length '''L''', a mass '''m''' hanging from the string, and it is pulled away from its equilibrium, there is an angle measured off the vertical. The two forces acting on the pendulum when it is pulled away from its equilibrium are the string tension, '''Ft''' and the gravity, '''F = mg'''.
A pendulum is just a mass hanging from a spring moving back and forth. In order to describe a pendulum, you need to understand its properties and parameters. There is a string with length '''L''', a mass '''''m''''' hanging from the string, and it is pulled away from its equilibrium, there is an angle measured off the vertical. The two forces acting on the pendulum when it is pulled away from its equilibrium are the string tension, '''Ft''' and the gravity, '''F = mg'''.


[[File:pendulum.gif]]
[[File:pendulum.gif]]


===Period of Oscillation===
===Period of Oscillation===

Revision as of 00:04, 4 December 2015

--mbriatta3 (talk) 14:17, 3 December 2015 (EST)

The pendulum is a mass hanging from a string of negligible mass that is fixed to a point. The equilibrium position of the pendulum is the position when the string and mass hang vertically downward. When pulled back away from this equilibrium state, the string and mass will swing back and forth. If there is no friction or air resistance applied then the pendulum will swing forever.


The Main Idea

Electric Field of Capacitor

Properties of Pendulum Motion

Animation of a pendulum showing forces acting on the mass: the tension T in the rod and the gravitational force mg. Link

A pendulum is just a mass hanging from a spring moving back and forth. In order to describe a pendulum, you need to understand its properties and parameters. There is a string with length L, a mass m hanging from the string, and it is pulled away from its equilibrium, there is an angle measured off the vertical. The two forces acting on the pendulum when it is pulled away from its equilibrium are the string tension, Ft and the gravity, F = mg.

Period of Oscillation

Energy

Velocity

A Computational Model


Animation of a pendulum showing the 
velocity and acceleration vectors. Link

Examples

Be sure to show all steps in your solution and include diagrams whenever possible

Simple

Middling

Difficult

Connectedness

Talk about clocks

As you see, the pendulum motion can be seen in our everyday life. As an architecture major, I have always been interested art and design. Different sculptures, installations, and art pieces can even be achieved throughout the application of a pendulum motion. Take a look here and here and here

History

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

See also

Further reading

  • G. L. Baker and J. A. Blackburn (2009). The Pendulum: A Case Study in Physics (Oxford University Press).
  • M. Gitterman (2010). The Chaotic Pendulum (World Scientific).
  • Michael R. Matthews, Arthur Stinner, Colin F. Gauld (2005)The Pendulum: Scientific, Historical, Philosophical and Educational Perspectives, Springer
  • Michael R. Matthews, Colin Gauld and Arthur Stinner (2005) The Pendulum: Its Place in Science, Culture and Pedagogy. Science & Education, 13, 261-277.
  • Schlomo Silbermann,(2014) "Pendulum Fundamental; The Path Of Nowhere" (Book)
  • Matthys, Robert J. (2004). Accurate Pendulum Clocks. UK: Oxford Univ. Press. ISBN 0-19-852971-6.
  • Nelson, Robert; M. G. Olsson (February 1986). "The pendulum – Rich physics from a simple system". American Journal of Physics 54 (2): 112–121. Bibcode:1986AmJPh..54..112N. doi:10.1119/1.14703.
  • L. P. Pook (2011). Understanding Pendulums: A Brief Introduction (Springer).

External links

[1]

References

  • Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions. Hoboken, NJ: Wiley, 2011. Print.
  • "Pendulum Motion." Pendulum Motion. Physics Classroom, 1996. Web. 03 Dec. 2015.
  • "Pendulum." Wikipedia. Wikimedia Foundation, n.d. Web. 03 Dec. 2015.