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## PowerPoint Slideshow about ' Pendulum' - rupert

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### 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
- F = Frequency
- g = Gravity
- Pe = Potential Energy
- Ke = Kinetic Energy

Characteristics of a Pendulum

- Length is the distance from the fulcrum to the center of mass of the pendulum.
- For our pendulum, we cheated…
- How?

Characteristics of a Pendulum

- We assumed that our string was weightless and we were a little “Cavalier” in our measurements of where the center of mass occurred.
- Yesterday I asked about “Big Ben”…
- Will adding “pennies” to the pendulum change the period of the swing? Why?

Characteristics of a Pendulum

- 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

Characteristics of a Pendulum

- T = 1 / F
- F = 1 / T

Characteristics of a Pendulum

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

Characteristics of a Pendulum

- 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…)

Characteristics of a Pendulum

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

Characteristics of a Pendulum

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

Characteristics of a Pendulum

- 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.

Motion of a Pendulum

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

Energy of a Pendulum

- PE = m•g•h
- KE = ½•m•v2

Energy of a Pendulum

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

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