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P H Y S I C S Chapter 7: Waves and Vibrations Section 7B: SHM of a Pendulum

P H Y S I C S Chapter 7: Waves and Vibrations Section 7B: SHM of a Pendulum. Bell Ringer. What is the period of a spring-mass system in which a 3.5kg mass is displaced 1.5m on a spring with a constant of 2.5N/m?. Galileo Galilei. Period of Pendulum (1564-1642).

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P H Y S I C S Chapter 7: Waves and Vibrations Section 7B: SHM of a Pendulum

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  1. P H Y S I C S Chapter 7: Waves and Vibrations Section 7B: SHM of a Pendulum

  2. Bell Ringer • What is the period of a spring-mass system in which a 3.5kg mass is displaced 1.5m on a spring with a constant of 2.5N/m?

  3. Galileo Galilei Period of Pendulum (1564-1642)

  4. Simple Harmonic Motion (SHM) • Pendulum approximates SHM when oscillated with an initial angle of 15o or less xo= 0 equilibrium

  5. Period of a Pendulum • T  period (s) • l length (m) • g acceleration due to gravity (m/s2)

  6. Period of a Pendulum Demo Does NOT depends on: • mass • amplitude Depends on: • Length • gravity

  7. Velocity • Maximum velocity occurs at equilibrium • Zero velocity at amplitude zero velocity zero velocity max velocity

  8. Frequency Equation • f  frequency (Hz) • T period (s)

  9. In-Class Problem #1 A pendulum of mass 1.5 kg has a length of 0.15 m. Determine (a) the period and (b) frequency of the pendulum. T = 0.78 s f = 1.29 Hz

  10. In-Class Problem #2 If a pendulum has a period of 2.0 s on Earth determine its period on the Planet Hoth where the acceleration due to gravity is 13.2 m/s2. l = 0.99 m T = 1.72 s

  11. Assignment • Problem Set 7B • 7A-7B Quiz (Simple Harmonic Motion)

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