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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

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pendulum

Pendulum

Simple Harmonic Motion

pendulum1
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
Characteristics of a Pendulum
  • L = Length
  • M = Mass
  • T = Period
  • F = Frequency
  • g = Gravity
  • Pe = Potential Energy
  • Ke = Kinetic Energy
characteristics of a pendulum1
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 pendulum2
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 pendulum3
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 pendulum5
Characteristics of a Pendulum
  • Which characteristic is most important in determining the motion of a pendulum?
  • Length
characteristics of a pendulum6
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 pendulum7
Characteristics of a Pendulum
  • Period of a pendulum is based on length and gravity.
characteristics of a pendulum8
Characteristics of a Pendulum
  • Would the motion of a pendulum vary on the Moon? Why? How?
characteristics of a pendulum9
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 pendulum1
Motion of a Pendulum
  • These graphs are based on the premise that there is no friction.
energy of a pendulum
Energy of a Pendulum
  • PE = m•g•h
  • KE = ½•m•v2
energy of a pendulum1
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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