Dynamics kinematics of particles

dynamics kinematics of particles problems and solutions and dynamics kinematics problems and solutions
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Dr.SamuelHunt,United Arab Emirates,Teacher
Published Date:21-07-2017
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ME 230 Kinematics and Dynamics Wei-Chih Wang Department of Mechanical Engineering University of Washington Instructor: Wei-Chih Wang E-mail: abongu.washington.edu Office: MEB 113 or 260 Phone: 206-543-2479 Office hours: M,W, F 1:30-2:30PM  Teaching Assistant: David Schipf schipfuw.edu Jinyuan Zhang jinyuanuw.edu Paul Murphy pgmurphyuw.edu Kebin Gu kebinu.washington.edu (grader)  Textbook: R. C. Hibbeler, Engineering Mechanics: Dynamics, 13th Ed.  Course Website: http://courses.washington.edu/engr100/me230 W. WangGeneral Policy  Homework: Homework will be assigned in class on Wed. Homework for each week is due the following Wednesday (During Class). The homework has usually 10-12 problems per week. Late homework will not be accepted (partial credit will not be given). Homework solution will be available every Wednesday on the web. Please write down your section number on your homework.  Grading of Homework: Only one or two questions (chosen by the instructor) from the homework (assigned for each week) will be graded – the resulting grade will constitute the grade for that week’s homework. Therefore, answer all the questions correctly to get full credit for the homework.  Exams: Exams will be open book and open notes. There will be no alternate exams if you miss any. Exams will include materials covered in the text, class, and homework. W. WangNotes:  Homework be assigned on a weekly basis  Homework should be hand-written  TA will go over the problems with you during Lab Section and answer any questions you have on your homework.  Solutions to all problems solved in class will be posted on Thursday each week: http://courses.washington.edu/engr100/me230 W. WangGrading Homework 20%  1st Midterm 25%  2nd Midterm 25%  Final Project 30% GPA Formula: GPA = (Score-50)/40(4.0-2.0)+2.0 (94=4.0 and 50=2.0.) W. WangPlease make sure… • You review some maths (i.e. trigonometric identities, derivatives and integrals, vector algebra, ) • … and some STATICS… UNITS, Vector addition, free body diagram (FDB) (Hibbeler Statics: Ch. 1,2 and 5) W. WangExamples (1) W. WangExamples (2) W. WangExamples (3) W. WangWhat is Dynamics? Important contributors: Galileo Galilei, Newton, Euler, Lagrange Mechanics (The study of how bodies react to forces acting on them) Study of equilibrium of a Study of accelerated motion Statics Dynamics body that is at rest/moves of a body with constant velocity • Kinematics: geometric aspects of the motion • Kinetics: Analysis of forces which cause the motion W. WangAn Overview of Mechanics Mechanics: The study of how bodies react to forces acting on them. Statics: The study of Dynamics: The study of force bodies in equilibrium or and torque and their effect on a in constant speed. accelerated moving body 1. Kinematics – concerned with the geometric aspects of motion 2. Kinetics - concerned with the forces causing the motion W. WangMechanics  Statics – effects of forces on bodies at rest  Dynamics  Theoretically, kinematics and kinetics constitute dynamics.  Kinematics – study of motion of bodies without reference to forces which cause the motion  Kinetics – relates action of forces on bodies to their resulting motion  Kinematics and kinetics almost occur together all the time in practice. W. WangHowever…  From Wikipedia, the free encyclopedia: Dynamics is a branch of physics (specifically classical mechanics) concerned with the study of forces and torques and their effect on motion, as opposed to kinematics, which studies the motion of objects without reference to its causes. Isaac Newton defined the fundamental physical laws which govern dynamics in physics, especially his second law of motion. Also why this class is called kinematics and dynamics. W. WangWhy is dynamics important?  Understanding dynamics is key to predicting performance, designing systems, etc.  The ability to control a system (say, a car) depends upon understanding the dynamics  It is fundamental to advanced topics, such as fluid mechanics, structural dynamics, or vibration. W. WangApplications of Dynamics  Modern machines and structures operated with high speed (acceleration)  Analysis & design of  Moving structure  Fixed structure subject to shock load  Robotic devices  Automatic control system  Rocket, missiles, spacecraft  Ground & air transportation vehicles  Machinery  Human movement (Biomechanics) W. WangExample: The Coriolis Force Kinematics: coordinate reference frames matter, as in this merry-go- round W. WangExample: Car Crush Test Kinetics: Impact , impulse and moment. Crash Test of a New Mercedes SLS AMG 2010 W. WangExample: Three Phase Diamagnetic Levitation Motor Studying of rotational motion of a motor, kinetics: magnetic forces, Kinematics: rotation speed and angles W. WangExample: Self-Assemble Robots Block communicate through Wireless Communication Studying of kinematics and kinetics of a moving robot Kinetics: forces on latches, kinematics: position tracking W. WangTopics to be covered Chapter 12:Introduction & Kinematics of a particle Chapter 13: Kinetics of a particle: Force and Acceleration Chapter 14: Kinetics of a particle: Work and Energy Chapter 15: Kinetics of a particle: Impulse and Momentum Chapter 16: Planar kinematics of a Rigid Body Chapter 17: Planar kinetics of a Rigid Body: Force and Acceleration W. Wang