Pendulums Waves PHYS116 A01 11514 Lecture 33 Momchil

Forced (driven) oscillations and resonance • A force applied “in synch” with a motion

Forced (driven) oscillations and resonance II • The Tacoma Narrows Bridge suffered spectacular structural

Energy in SHM • Energy is conserved during SHM and the forms (potential and

Energy in SHM II • Figure 13. 15 shows the interconversion of kinetic and

To double the total energy of a mass-spring system oscillating in simple harmonic motion,

Angular SHM • Watches keep time based on regular oscillations of a balance wheel

The physical pendulum • A physical pendulum is any real pendulum that uses an

Dinosaurs, long tails, and the physical pendulum • The stride of Tyrannosaurus rex can

Vibrations of molecules • Two atoms separated by their inter-atomic distance r can be

Types of mechanical waves Waves that have compressions and rarefactions parallel to the direction

Periodic waves A detailed look at periodic transverse waves will allow us to extract

Periodic waves II A detailed look at periodic longitudinal waves will allow us to

Graphing wave functions • Informative graphic presentation of a wave function is often either

Reading for next time • The rest of Chapter 15

Slides: 16

Download presentation

Pendulums, Waves PHYS-116 A-01, 11/5/14, Lecture 33 Momchil Velkovsky

Forced (driven) oscillations and resonance • A force applied “in synch” with a motion already in progress will resonate and add energy to the oscillation • A singer can shatter a glass with a pure tone in tune with the natural “ring” of a thin wine glass. 2

Forced (driven) oscillations and resonance II • The Tacoma Narrows Bridge suffered spectacular structural failure after absorbing too much resonant energy

Energy in SHM • Energy is conserved during SHM and the forms (potential and kinetic) interconvert as the position of the object in motion changes.

Energy in SHM II • Figure 13. 15 shows the interconversion of kinetic and potential energy with an energy versus position graphic.

To double the total energy of a mass-spring system oscillating in simple harmonic motion, the amplitude must increase by a factor of 1. 4. 2. 3. 2. 4. 5.

Angular SHM • Watches keep time based on regular oscillations of a balance wheel initially set in motion by a spring.

The physical pendulum • A physical pendulum is any real pendulum that uses an extended body in motion.

Dinosaurs, long tails, and the physical pendulum • The stride of Tyrannosaurus rex can be treated as a physical pendulum. L=3. 1 m, S=4 m, v=? T=2. 9 s v=1. 4 m/s =5 km/h

Vibrations of molecules • Two atoms separated by their inter-atomic distance r can be pondered as two balls on a spring. The potential energy of such a model is constructed many different ways. The Lennard–Jones potential is shown.

Types of mechanical waves Waves that have compressions and rarefactions parallel to the direction of wave propagation are longitudinal. Waves that have compressions and rarefactions perpendicular to the direction of propagation.

Periodic waves A detailed look at periodic transverse waves will allow us to extract parameters.

Periodic waves II A detailed look at periodic longitudinal waves will allow us to extract parameters just as we did with transverse waves.

Mathematical description of a wave

Graphing wave functions • Informative graphic presentation of a wave function is often either y-displacement versus x-position or y-displacement versus x-time.

Reading for next time • The rest of Chapter 15