Chapter 11 Vibrations and Waves. Simple harmonic motion Measuring simple harmonic motion Properties of waves Wave interactions.

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Presentation transcript:

Chapter 11 Vibrations and Waves

Simple harmonic motion Measuring simple harmonic motion Properties of waves Wave interactions

Simple Harmonic Motion

SHM simple harmonic motion = vibration/oscillation about an equilibrium position in which a restoring force is proportional to the displacement from equilibrium damping = the effect of friction on a mass-spring system that eventually brings the system to rest

Mass and Spring System Identify max & min: Force Acceleration Speed

Hooke’s Law

Practice If a mass of 0.55 kg attached to a vertical spring stretches the spring 2.0 cm from its original equilibrium position, what is the spring constant?

Simple Pendulum Identify the restoring force SHM for small angles only ( θ < 15° )

Simple Pendulum Identify max & min: Force Acceleration Speed

Energy What types of energy are transferred in each type of SHM?

Measuring SHM

Period of a Simple Pendulum

Practice A desktop toy pendulum swings back and forth once every 1.0 s. How long is this pendulum? What is the free-fall acceleration at a location where a 6.00 m long pendulum swings through exactly 100 cycles in 492 s? By what factor should the length of a pendulum be changed to double the period of the vibration?

Period of a Mass-Spring System

Practice A 1.0 kg mass attached to one end of a spring completes one oscillation every 2.0 s. Find the spring constant. A mass attached to a spring of spring constant 35 N/m makes 32 complete vibrations in 4.0 s. Find the mass.