Engineering Basic Mechanics Ⅱ Dynamics 工程基础力学 Ⅱ 动力学 课件 Chapter 1 Kinematics of a Particle.pptx
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Chapter1KinematicsofaParticle
§1.1Motionequationofaparticle§1.2VelocityandaccelerationofaparticleMaincontents
1.1MotionequationofaparticleThreetypicalmotionequation(1)Motionequationusingvector(2)Motionequationusingrectangularcoordinate
1.1Motionequationofaparticle(3)MotionequationusingnaturalcoordinateThreetypicalmotionequation
ThecrankofellipticcompassescanrotatearoundfixedaxisO,theendAishingedwithBC;ThepointsBandCcanmovealongtheverticalslidingchutes,respectively.FindthetrajectoryequationofaarbitrarypointMonBC.KnownExample11.1Motionequationofaparticle
Solution:Consideranarbitraryposition,thecoordinateofMcanbeexpressedasfollowing:Eliminate?intheaboveequations,thetrajectoryequationofMcanbeobtainedas:1.1Motionequationofaparticle
1.2Velocityandaccelerationofaparticle(1)DefinitionforvelocityandaccelerationofaparticleusingvectorDisplacement:Velocity:Acceleration:(2)Definitionforvelocityandaccelerationofaparticleontherectangularcoordinate
(3)ProjectionforvelocityandaccelerationofaparticleonthenaturalaxesTangentNormalplaneOsculatingplanePrincipalnormalSubnormal(a)Naturalcoordinatesystem1.2Velocityandaccelerationofaparticle
(3)Projectionforvelocityandaccelerationofaparticleonthenaturalaxes(b)Velocityofaparticle(c)AccelerationofaparticleThefirstcomponentrepresentsthechangerateofspeedmagnitudefortheparticle,notedas()TangentialaccelerationThesecondcomponentrepresentsthechangerateofspeeddirectionfortheparticle,notedas()Normalacceleration1.2Velocityandaccelerationofaparticle
(3)Projectionforvelocityandaccelerationofaparticleonthenaturalaxes◆Tangentialacceleration◆NormalaccelerationTangentialaccelerationrepr
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