PPT-Lab 10: Simple Harmonic Motion

University of Michigan Physics Department Mechanics and Sound Intro Labs Simple Harmonic Motion This week you move away from rotational motion and begin to study simple harmonic motion We say that you move away from rotational motion only in the sense that you will not be studying rotating objects as the main focus of the lab However it is worth noting that several concepts from rotational motion can be related to simple harmonic motion You will study three simple harmonic oscillators today the mass and spring system the simple pendulum and the ball and dish oscillator. College Physics I. Fall 2012. S. A. Yost. Chapter 11 . Simple Harmonic Motion. Announcements. Problem set 10B is due Thursday. . Read . sections 1 – 4 and 7 – 9 . if you haven’t. Topics. : simple harmonic motion, intro to waves.. Chapter 1. . Physics Paper B. . BSc. . I. Motion of a body. PERIODIC MOTION- . The motion which repeats itself at a regular intervals of time is known as Periodic Motion. . . Typically, harmonic motion decreases in amplitude with time….this realistic model describes damped harmonic motion.. The damping effect is a result of friction and internal resistance of the system to further motion.. Simple Harmonic . Motion (SHM). periodic. motion about an . equilibrium point . where the restoring force is proportional to the distance from equilibrium. For oscillation to be . SHM, . the forces must always be directed to the . Chapter 15. Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.. 15-1. Simple Harmonic Motion. 15.01 . Distinguish simple harmonic motion from other types of periodic motion.. 15.02 . Book Section 10.2. Simple Harmonic Motion. Also called . vibrational motion. , . oscillation. , or . periodic motion. .. Think springs, pendulums, atoms carrying sound, or buildings or trees swaying in the wind.. deal mainly with . simple harmonic. oscillations where the position of the object is specified by a . sinusoidal. function. . Mass on a spring. Energy. Pendulum. Chapter 15: Oscillatory motion. Reading assignment: Chapter 15.1 to 15.5; 15.6 & 15.7 cursory . Period of a Pendulum: . Period based on length (L) and value of gravity (g). Uses/Applications: . Use the . magnitude. of gravity (9.8 m/s. 2. ). Example . 8. A mass (m = 5.67 kg) is attached to a rope with a length of 0.950 m. . J. C. Sprott. Department of Physics. University of Wisconsin – Madison USA. Presented at . Nanjing University of Information Science & Technology, . Nanjing, China. on. October 18, 2017. Simple Harmonic Oscillator. 15-1. Simple Harmonic Motion. 15.01 . Distinguish simple harmonic motion from other types of periodic motion.. 15.02 . For a simple harmonic oscillator, apply the relationship between position . x . Science of Sound, . Chapter 17. Resonance in Singing, . Miller. Acoustics for Choir and Orchestra , . Ternström. “Acoustical comparison of voice use in solo and choir singing” (. Rossing. , . . Oscillations. © 2014 Pearson Education, Inc.. If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The mass and spring system is a useful model for a periodic system. Bass Lines and Harmonic Structure the nature of the lowest voice and its relation to harmonic structure The V 4 3 on the 3rd beat provides harmonic variety, but it also serves to prolong the initial tonic harmony Lawrence Berkeley National Laboratory. John Byrd. Topical Workshop on Instabilities, Impedances and Collective Effects. 17 January 2014. Acknowledgements. Stefano De . Santis. Matthias . Georgsson. .