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Pendulum

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

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  1. Pendulum Simple Harmonic Motion

  2. 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.

  3. Characteristics of a Pendulum • L = Length • M = Mass • T = Period • F = Frequency • g = Gravity • Pe = Potential Energy • Ke = Kinetic Energy

  4. 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?

  5. 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?

  6. 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

  7. Characteristics of a Pendulum • T = 1 / F • F = 1 / T

  8. Characteristics of a Pendulum • Which characteristic is most important in determining the motion of a pendulum? • Length

  9. 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…)

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

  11. Characteristics of a Pendulum • Would the motion of a pendulum vary on the Moon? Why? How?

  12. 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.

  13. Motion of a Pendulum

  14. Motion of a Pendulum • These graphs are based on the premise that there is no friction.

  15. Energy of a Pendulum • PE = m•g•h • KE = ½•m•v2

  16. 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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