Pendulum Motion: Difference between revisions

Revision as of 18:07, 3 December 2015

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

A pendulum is defined as a mass, connected to a rod or rope, that experiences simple harmonic motion as it swings back and forth without friction. The equilibrium position of the pendulum is the position when the mass is hanging directly downward. Consider a pendulum bob connected to a massless rope or rod that is held at an angle from the horizontal. If you release the mass, then the system will swing to position and back again.

The Main Idea

State, in your own words, the main idea for this topic Electric Field of Capacitor

Properties of Pendulum Motion

What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.

Period of Oscillation

Energy

Velocity

A Computational Model

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


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

History

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

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 ===Further reading===
-G. L. Baker and J. A. Blackburn (2009). The Pendulum: A Case Study in Physics (Oxford University Press).
+*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).
+*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, 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.
+*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)
+*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.
+*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.
+*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).
+*L. P. Pook (2011). Understanding Pendulums: A Brief Introduction (Springer).
 ===External links===