simple harmonic motion - SImple Pendulum.pptx

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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. Period of Pendulum (1564-1642) Galileo Galilei

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

5. T  period (s) l  length (m) g  acceleration due to gravity (m/s 2 )   Period of a Pendulum

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

7. Maximum velocity occurs at equilibrium Zero velocity at amplitude Velocity max velocity zero velocity zero 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/s 2 . l = 0.99 m T = 1.72 s

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