PC1433 MECHANICS and WAVES Module Lecturers Prof Wang Chien Ming
Engineering Science Programme and Department of Civil Engineering, National University of Singapore E-mail:
[email protected] Office: E3A-04-17B
Asst Prof Andrew Bettiol
Engineering Science Programme and Department of Physics, National University of Singapore E-mail:
[email protected] Office: E3A-04-21 PC1433 Mechanics and Waves
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COURSE INFORMATION LECTURES ¾ 3 hours of lecture / week; also read the recommended textbooks and reference books
TUTORIALS
¾ Twelve 1-hour tutorials; compulsory; tutor assigned
ASSESSMENT
Continuous assessment component (45%) ¾ Joint project between PC1433 and ESP1107 (5%) ¾ 2 quizzes (40%) 2-hour examination (55%)
WEBSITE
¾ Course Information: http://ivle.nus.edu.sg/
PC1433 Mechanics and Waves
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OBJECTIVE OF COURSE 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 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.
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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 and solve statically determinate problems involving rigid bodies using equilibrium equations. 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. Thoroughly understands the properties of the various types of waves. Understands and applies the principles behind interference and standing waves. Solve problems related to light and sound waves. Understand the damped and undamped vibration phenomena. PC1433 Mechanics and Waves
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Examples of practical mechanics problems
Akashi-Kaikyo Bridge, Japan Arabian Tower
Floating Platform @ Marina Bay
Roller Coaster
Projectile Motion
PC1433 Mechanics and Waves
Heavy Lifting
Collision of Cars 5
Examples of practical waves problems
Ocean waves and tsunami
Periodic orbital motion
Tacoma Narrows Bridge vibrating on the day it was to collapse.
Vibrations and waves of strings in musical instruments like a piano PC1433 Mechanics and Waves
MRI – Protons in tissue absorb radio waves. 6
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, moment of a force about an axis, couple, equivalent force-couple systems, equilibrium equations, boundary conditions, 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, impact
Kinematics and Kinetics of Rigid Bodies (6 hours) Rotation, absolute motion, relative velocity, instantaneous centre of zero velocity, relative acceleration, motion relative to rotating axes, force-acceleration equation, work-energy relation, impulse-momentum equations
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SYLLABUS FOR WAVES PART (18 hours)
Periodic Motion (3 hours) - Describing Oscillation, Simple Harmonic Motion, Energy in Simple Harmonic Motion, Applications of Simple Harmonic Motion, The Simple Pendulum, The Physical Pendulum, Damped Oscillations, Forced Oscillations and Resonance Mechanical Waves (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, The Doppler Effect, Shock Waves Electromagnetic Waves (3 hours)`- Maxwell's Equations and Electromagnetic Waves, Electromagnetic Waves and the Speed of Light, Sinusoidal Electromagnetic Waves, Energy and Momentum in Electromagnetic Waves, Standing Electromagnetic Waves, The Electromagnetic Spectrum Interference (2 hours) - Interference and Coherent Sources, Two-Source Interference for Light, Intensity in Interference Patterns, Interference in Thin Films, The Michelson Interferometer Diffraction (2 hours) - Fresnel and Fraunhofer Diffraction, Diffraction from a Single Slit, Intensity in the Single-Slit Pattern, Multiple Slits , The Diffraction Grating, X-Ray Diffraction, Circular Apertures and Resolving Power Wave Nature of Particles (2 hours) - De Broglie Waves, Electron Diffraction , Probability and Uncertainty, The Electron Microscope, Wave Functions PC1433 Mechanics and Waves
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Textbooks Beer, F.P. and Johnston Jr. E.R., Vector Mechanics for Engineers: Statics and Dynamics, 7th Edition, The International Edition, McGraw-Hill, Singapore, 2004. Young, H.D. and Freedman, R.A., University Physics: with Modern Physics, 12th Edition, Pearson-Addison Wesley, San Francisco, USA, 2004
References Hibbeler, R.C. Engineering Mechanics: Statics and Dynamics. Pearson Education South Asia Pte), Singapore, 2004.
3rd ed., Prentice-Hall,
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. Soutas-Little, R.W. and Inman, D.J., Engineering Mechanics: Statics and Dynamics, Prentice-Hall, Inc., New Jersey, USA, 1999. 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
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PC1433 - Schedule of Lectures and Tutorials on Mechanics Week
Lecture
Tutorial
1
L01: Introduction to Mechanics and Statics of Particles
2
L02: Equilibrium of Rigid Bodies
1&2
3
L03: Kinematics of Particles
3&4
4
L04: Kinetics of Particles
5a
5
L05: Kinematics of Rigid Bodies
5b
6
L06: Kinetics of Rigid Bodies
6
Oct
-
Quiz 1: Lectures 1 to 4 (1.00 to 2.00 pm)
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Week 7
Lecture L07: Periodic Motion and vibrations
Tutorial -
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L08: Mechanical Waves
7
9
L09: Sound and Hearing
8
10
L10: Electromagnetic waves
9
11
L11: Interference and Diffraction
Nov
Quiz 2: Lectures 7 to 10 (1.00 to 2.00 pm)
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11
Tutorial
Week
Lecture
12
L12: Interference and Diffraction
11
L13: Wave nature of particles
12
13
Reading Week 2-hr Examination
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