PC1433 module introduction 2017

AY2017/2018 Sem I PC1433 MECHANICS and WAVES Module Lecturers Dr Shen Lei Mechanical Engineering National University of Singapore E-mail: shenlei@nus.edu.sg :: Office: EA-05-09 :: Tel: 66013813 http://www.esp.nus.edu.sg/people/people_index.html Dr Zhang Chun Department of Physics National University of Singapore E-mail: phyzc@nus.edu.sg :: Office: S13-04-09 :: Tel: 65166755 http://www.physics.nus.edu.sg/staff/zhangchun.html PC1433 Mechanics and Waves Introduction of course LECTURES – You are expected to attend all lectures There are 2+1 hours of lectures per week Please read the recommended textbook before class TUTORIALS – You are expected to attend all tutorials There are around 11 tutorials for this module Each tutorial session is about hours Tutorial questions are given to you before class and you should attempt them before coming to the tutorial session These questions are to reinforce your understanding of the topics taught in class Your tutors will facilitate learning by clarifying any doubts and answering queries that you may have ASSESSMENT – Your grade will be determined by your performance in the quizzes (40%), and a 2-hour final examination (60%) No make-up final exam will be administered WEBSITE – The module information can be obtained from the IVLE website http://ivle.nus.edu.sg/ Kindly Notice: 1) You are expected to devote sufficient time to master the module materials It is unreasonable to expect that good performance can be achieved without study and that is especially true for this module You should devote about hours outside of class for every hour in class So keep pace with the class 2) Do NOT take the advantage of the S/U option to drop this module in your mind before taking it PC1433 Mechanics and Waves OBJECTIVE OF PC1433 The primary objective of this module is to introduce students to the fundamental concepts and principles of MECHANICS and WAVES and their applications to solve practical problems More importantly, it is hoped that the students will develop the ability to analyse any problem from a simple and rational perspective using well-understood, basic principles The study of MECHANICS and WAVES provides the foundation for further study in many disciplines such as structural engineering, mechanical behaviour of materials, optics, photonics and electronics PC1433 Mechanics and Waves LEARNING OUTCOMES At the end of this mechanics and waves course, students are expected to be able to Draw a free body diagram and identify the unknown reaction forces/moments acting on the free body Use vector algebra and write the equilibrium equations to solve statically determinate problems involving rigid bodies Solve problems involving friction Solve kinematics problems for the displacements, velocities and accelerations of particles and rigid bodies in motion Solve kinetic problems for the forces and motion of particles and rigid bodies using Newton’s second law, work-energy principle and impulse-momentum principle Understand the damped and undamped vibration phenomena Understand the properties of various types of waves including light and sound Understand and apply the principles behind interference and standing waves Develop a picture of matter waves and have a basic understanding of the principles of quantum physics PC1433 Mechanics and Waves Examples of practical mechanics problems Determining the reaction forces in bridge piers of the Akashi-Kaikyo Bridge, Japan Working out the draft for the Floating Platform @ Marina Bay Determining the accelerations in roller coaster cars Working out the trajectory of the missile PC1433 Mechanics and Waves Finding the tensile forces in the cables of the floating crane Determining the impulse force in the collision of cars Examples of practical waves problems Ocean waves and tsunami Periodic orbital motion Tacoma Narrows Bridge vibrating on the day that it collapses Vibrations and waves of strings in musical instruments like a piano PC1433 Mechanics and Waves MRI – Protons in tissue absorb radio waves SYLLABUS FOR MECHANICS PART (18 hours) Introduction to Mechanics and Statics of Particles (3 hours) Fundamental concepts and principles of mechanics; force, force components, forces on a particle, concept of free-body diagram, equilibrium of a particle Equilibrium of Rigid Bodies (3 hours) Moment of a force about a point or an axis, couple, equivalent force-couple systems, equilibrium equations, 2-D and 3-D examples, problems involving dry friction Kinematics and Kinetics of Particles (6 hours) Rectilinear motion, curvilinear motion (various coordinate systems), relative motion and constrained motion of connected particles, force-acceleration equation, work and energy, impulse and momentum Kinematics and Kinetics of Rigid Bodies (6 hours) Rotation, absolute motion, relative motion, instantaneous centre of rotation, forceacceleration equation, work-energy relation, impulse-momentum equations PC1433 Mechanics and Waves SYLLABUS FOR WAVES PART (18 hours)  Periodic Motion: Mass on Spring (3 hours) - Describing Oscillation, Simple Harmonic Motion, Energy in Simple Harmonic Motion  Periodic Motion: Simple Pendulums (3 hours) - The Simple Pendulum, The Physical Pendulum, and Their Applications  Damped and Forced Oscillations (3 hours), Describing Damped and Forced Oscillations and Resonance  Mechanical Waves: Wave Function (3 hours) - Types of Mechanical Waves, Periodic Waves, Mathematical Description of a Wave, Speed of a Transverse Wave, Energy in Wave Motion, Wave Interference, Boundary Conditions, and Superposition, Standing Waves on a String, Normal Modes of a String  Sound and Hearing (3 hours) - Sound Waves, Speed of Sound Waves, Sound Intensity, Standing Sound Waves and Normal Modes, Resonance, Interference of Waves, Beats  Advanced Topics (3 hours) – (if time permitting) Other forms of waves such as EM waves and Matter waves PC1433 Mechanics and Waves Textbooks Beer, F.P., Johnston Jr E.R., and Mazurek, D Vector Mechanics for Engineers: Statics (SI Units version), 11th Edition, McGraw-Hill, New York, 2015 http://www.mheducation.com.sg/9780077687304-asia-vector-mechanics-for-engineersstatics Beer, F.P., Johnston Jr E.R., and Cornwell, P Vector Mechanics for Engineers: Dynamics (SI Units version), 11th Edition, McGraw-Hill, New York, 2015 http://www.mheducation.com.sg/9780077687342-asia-vector-mechanics-for-engineersdynamics Young, H.D and Freedman, R.A., University Physics: with Modern Physics, Global Edition, Pearson-Addison Wesley, San Francisco, USA, 2016 References Hibbeler, R.C Engineering Mechanics: Statics and Dynamics 12th ed., Prentice-Hall, Pearson Education South Asia Pte), Singapore, 2010 Wiley, W.F and Sturges, L.D., Engineering Mechanics: Statics and Dynamics, John Wiley, New York, 1993 Shames, I.H., Engineering Mechanics: Statics and Dynamics SI Edition, Prentice-Hall, Inc New Jersey, USA, 1998 French, A.P., Vibrations and Waves, W W Norton & Company, 1971 Pain, H.J The Physics of Vibrations and Waves, 4th Edition, Wiley Publisher, Surrey, United Kingdom, 1993 PC1433 Mechanics and Waves PC1433 - Schedule of Lectures and Tutorials Week Date Lecture Tutorial (date) 15 & 18 Aug L01: Introduction to Mechanics and Statics of Particles No tutorial class in 1st week 22 & 25 Aug L02: Equilibrium of Rigid Bodies 1st (21 and 23 Aug) 29 Aug & 1* Sep L03: Kinematics of Particles 2nd (28 and 30 Aug) Sep & Sep L04: Kinetics of Particles 3rd (4 Sep and Sep) Sep 12 & 15 Sep L05: Kinematics of Rigid Bodies 4th (11 and 13 Sep) 19 & 22 Sep L06: Kinetics of Rigid Bodies 5th (18 and 20 Sep) 23 Sep-1 Oct 1-hr Quiz 1: Materials to be tested are from Lectures to Recess Week *1 Sep 2017 is a public holiday (No make-up class) 10 Week Date Lecture Tutorial (Date) & Oct L07: Periodic Motion: Mass on Spring 6th_mechanics (2 & Oct) 10 & 13 Oct L08: Periodic Motion: Simple Pendulum 7th (9 &11 Oct) 17 & 20 Oct L09: Forced and Damped Oscillations 8th (16 & 18* Oct) 10 24 & 27 Oct L10: Mechanical Waves: Wave Function 9th (23 & 25 Oct) 11 31 Oct & Nov L11: Interference and Diffraction 10th (30 Oct & Nov) 11 Nov 12 & 10 Nov 13 14 & 17 Nov 1-hr Quiz 2: Materials to be tested from Lectures to L12: Sound and Hearing AND Advanced Topics L13: Module Review & Summary 11th (6 & Nov) 12th (13 & 15 Nov) 14-20 November 2014 - Reading Week 2-hr Examination *18 Oct 2017 is a public holiday (A make-up class is to be announced) Note: mechanics part in red; wave part in blue 11 ... option to drop this module in your mind before taking it PC1433 Mechanics and Waves OBJECTIVE OF PC1433 The primary objective of this module is to introduce students to the fundamental concepts... Publisher, Surrey, United Kingdom, 1993 PC1433 Mechanics and Waves PC1433 - Schedule of Lectures and Tutorials Week Date Lecture Tutorial (date) 15 & 18 Aug L01: Introduction to Mechanics and Statics... administered WEBSITE – The module information can be obtained from the IVLE website http://ivle.nus.edu.sg/ Kindly Notice: 1) You are expected to devote sufficient time to master the module materials It