Pendulum

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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

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.
• 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
• 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.