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?

Period of Pendulum ( ) Galileo Galilei

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

Period of a Pendulum

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

Maximum velocity occurs at equilibrium Zero velocity at amplitude Velocity max velocity zero velocity zero velocity

Frequency Equation

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

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

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