PPT-Models of Spring-Mass Systems

Formulated as Cauchy Problems Ricky Bartels Back to Basics The modeling of more complex springmass systems such as a system of n masses and n 1 springs under the influence of friction builds upon the model of the following system you probably recognize from differential equations . Springs. Hooke’s Law:. . The force exerted by a spring is proportional to the distance the spring is stretched or compressed from its relaxed position.. F. X. = -k x. . Where . x. . is the displacement from the relaxed position and . - Class 21. Today:. Oscillations, Repeating Motion. Simple Harmonic Motion. Oscillations / Circular Motion Connection. Potential and Kinetic Energy in Oscillations. A little pre-class reading . Lesson 1.4. Chapter 1: Using Scientific Inquiry. Interactive Science Grade 8, Pearson Education Inc., Upper Saddle River, New Jersey. Objectives. Explain how models are used in science.. Describe different types of systems, and identify characteristics that all systems share.. Stress, Strain, & Young’s Modulus. Relating the micro to macro.. Wires as . M. asses on Identical Parallel and Series Springs. The Micro-Macro Connection: . Stiffness for springs in . series . CS 3100 Mass Storage Systems. 1. Magnetic disks provide bulk of secondary storage of modern computers. Drives rotate at 60 to 200 times per second. Transfer rate. is rate at which data flow between drive and computer. Stress, Strain, & Young’s Modulus. Relating the micro to macro.. Wires as . M. asses on Identical Parallel and Series Springs. The Micro-Macro Connection: . Stiffness for springs in . series . amplitude. ). . At which position is the magnitude of the acceleration of the mass maximum? . 0 B) M C) E D) . a is constant . everywhere. Clicker Question. Room Frequency BA. Acceleration = (. NANCO AND UNIVERSITY OF MELBOURNE JOINT RESEARCH SESSION ON NANOTECHNOLOGY AND SUSTAINABLE BUILT ENVIRONMENT . 13-14 December, 2010 at Earls Regency, Kandy, Sri Lanka. MOTION SENSOR APPLICATIONS . IN . An object has weight, where weight is mass times gravity: . w. = . mg. . Here, . g. is . .. Hooke’s Law: . the force . to extend a spring a distance . L. feet is proportional to . L. , so that . Introduction. Most mechanical devices such as fans, pumps, etc. produce vibration.. Vibration is easily transmitted through solid materials and may ‘appear’ elsewhere producing troublesome vibration and/or noise.. Physics Oscillation 2.0 Practice Problem: A mass of 2 kg oscillating on a spring with constant 4 N/m passes through its equilibrium point with a velocity of 8 m/s. What is the energy of the system at this point? From your answer derive the maximum displacement,  A talk for Hans . Zinnecker. (sort of).. Alison Sills, McMaster University. Collision Models . Sills (1997-2009), . Glebbeek. (2008-2010). head-on (S97, G08) and off-axis collisions (S01). With rotation (S05). will we ever know?. Ray Volkas. School of Physics. The University of Melbourne. CERN Theory Colloquium at “Neutrinos: the quest for a new physics scale”, 29 March 2017.. What we know, don’t know and want to know.. mass system. Outline. Two – degree of freedom spring mass – system. Two natural frequencies of 2-DOF spring mass system. Two mode shape of 2-DOF spring mass system. Mass matrix and Stiffness matrix..