mech_1_kinematics_of_particles

mech_1_kinematics_of_particles - Mechanics Lecture Content...

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Mechanics Lecture Content Vector, Co-ordinate systems, Position, Kinematics of particles: Velocity, Acceleration, Relative motion Force, Newton’s Laws (Kinetics of particles), Vector analysis for force and moment equilibrium (Statics) Kinematics of rigid bodies: General plane motion, Instantaneous centre, Gear systems Kinetics of rigid bodies: Centre of mass, Angular momentum, Moment of inertia, Parallel axis and perpendicular axis theorem Energy, Impulse and Momentum Useful Textbooks: 1. Hibbeler, Engineering Mechanics, Statics and Dynamics , Prentice Hall 2. Beer, Vector Mechanics for Engineers, Dynamics, McGraw Hill 3. Beer, Vector Mechanics for Engineers, Statics, McGraw Hill 1
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MECHANICS Space & Time Forces Dynamics Statics Solid Mechanics or Strength of Materials Vibrations Ze r o N e t F c i s n Z Kinematics of Particles Kinetics of Kinematics of Rigid Bodies Kinetics of Rigid E NERGY , I MPLUSE M OMENTUM Concept Map 1 for Engineering Mechanics 2
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Vector Tme Coordinate Sytems K INEMATICS OF P ARTICLES displacement Velocity Acceleration Cartesian Polar Path Magnitude & Direction Sum, dot Direction cosine cosine rule Projection Concept Map 2 for Engineering Mechanics 3
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Mechanics -- a branch of physics concerning the motions of objects and their response to forces. Modern descriptions of such behaviour begin with a careful definition of such quantities as displacement (distance moved), time, velocity, acceleration, mass, and force. Until about 400 years ago, however, motion was explained from a very different point of view. For example, following the ideas of Greek philosopher and scientist Aristotle , scientists reasoned that a cannonball falls down because its natural position is in the earth; the sun, the moon, and the stars travel in circles around the earth because it is the nature of heavenly objects to travel in perfect circles. The Italian physicist and astronomer Galileo brought together the ideas of other great thinkers of his time and began to analyze motion in terms of distance traveled from some starting position and the time that it took. He showed that the speed of falling objects increases steadily during the time of their fall. This acceleration is the same for heavy objects as for light ones, provided air friction (air resistance) is discounted. The English mathematician and physicist Sir Isaac Newton improved this analysis by defining force and mass and relating these to acceleration. For objects traveling at speeds close to the speed of light, Newton's laws were superseded by Albert Einstein's theory of relativity . For atomic and subatomic particles, Newton's laws were superseded by quantum theory . For everyday phenomena, however, Newton's three laws of motion remain the cornerstone of dynamics, which is the study of what causes motion.
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This note was uploaded on 05/10/2009 for the course MXXM 2XX9 taught by Professor Gxxy during the Spring '09 term at City University of Hong Kong.

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mech_1_kinematics_of_particles - Mechanics Lecture Content...

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