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# Pendulum - PowerPoint PPT Presentation

Pendulum. Simple Harmonic Motion. Pendulum. A simple pendulum is one which can be considered to be a point mass suspended from a string or rod of negligible mass. It is a resonant system with a single resonant frequency. Characteristics of a Pendulum. L = Length M = Mass T = Period

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## PowerPoint Slideshow about ' Pendulum' - rupert

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Presentation Transcript

### Pendulum

Simple Harmonic Motion

• A simple pendulum is one which can be considered to be a point mass suspended from a string or rod of negligible mass. It is a resonant system with a single resonant frequency.

• L = Length

• M = Mass

• T = Period

• F = Frequency

• g = Gravity

• Pe = Potential Energy

• Ke = Kinetic Energy

• Length is the distance from the fulcrum to the center of mass of the pendulum.

• For our pendulum, we cheated…

• How?

• We assumed that our string was weightless and we were a little “Cavalier” in our measurements of where the center of mass occurred.

• Will adding “pennies” to the pendulum change the period of the swing? Why?

• Period is the time it takes to make one cycle

• Frequency is the number cycles that occur in one second

• They are inverse to each other

• T = 1 / F

• F = 1 / T

• Which characteristic is most important in determining the motion of a pendulum?

• Length

• We saw, in our experiments, that changing the mass of the “bob” had essentially no effect on the swing of our pendulums.

• Any differences that we saw is easily explained on your experimental “Human Error”.

• (Yes… You messed up…)

• Period of a pendulum is based on length and gravity.

• Would the motion of a pendulum vary on the Moon? Why? How?

• We can also look at a graph of the motion of a pendulum and see that it shows a sine wave for both a d vs. t graph and a v vs. t graph.

• These graphs are based on the premise that there is no friction.

• PE = m•g•h

• KE = ½•m•v2

• Discuss this motion. Be able to explain what is happening as the pendulum moves through a series of cycles.