Cnceptual Dynamics An Interactive Text and Wrkbk Kirstie Plantenberg Richard Hill SDC P U B L I C AT I O N S Better Textbks. Lwer Prices. www.sdcpublicatins.cm
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Cnceptual Dynamics Table f Cntents TABLE OF CONTENTS PART I: INTRODUCTION Chapter 1: Basic cncepts and units Dynamics What is dynamics? What will we learn? Prerequisite knwledge Units Why units are imprtant Unit f measure SI units Metric system US custmary system Basic cncepts Vectrs Space Psitin Time Velcity Acceleratin Frce Mass and weight Calculus and dynamics Slving dynamics prblems Universal gravitatin Chapter 1 review prblems Chapter 1 prblems PART II: KINEMATICS Chapter 2: Kinematics f Particles Rectilinear Mtin Rectilinear mtin Rectilinear mtin Rectilinear crdinate axis Psitin Displacement Velcity Acceleratin Slving rectilinear prblems The basic equatins Time dependent equatins Psitin dependent equatins Acceleratin as a functin f velcity Cnstant acceleratin equatins General ntes Erratic rectilinear mtin Slving rectilinear prblems graphically TC - 1
DYNAMICS Table f Cntents Cnceptual Dynamics Chapter 2 review prblems Chapter 2 prblems Chapter 2 activities Chapter 3: Kinematics f Particles Curvilinear Mtin Plane curvilinear mtin: x-y crdinates Plane curvilinear mtin Plane curvilinear mtin: Cartesian crdinates (x-y) Psitin Displacement and ttal distance traveled Velcity Acceleratin Slving plane curvilinear prblems Prjectile mtin Prjectile mtin Falling Slving prjectile prblems Plane curvilinear mtin: n-t crdinates Nrmal - tangential crdinate system Velcity Acceleratin Circular mtin Plane curvilinear mtin: plar crdinates Plar crdinate system Psitin Velcity Acceleratin Plar crdinates versus n-t crdinates Chsing a crdinate system Relative mtin Reference frame definitins Abslute and relative mtin Cnstrained & dependent mtin Cnstrained & dependent mtin Rpes & pulleys Slving rpe & pulley prblems Linear bearings / cllars Slts Jints Surface cntacts / cam and fllwer Chapter 3 review prblems Chapter 3 prblems Chapter 3 activities Chapter 4: Kinematics f Rigid Bdies Rigid bdy mtin What is a rigid bdy? Hw des a rigid bdy mve Pure rtatin Rtatin abut a fixed axis Angular kinematic relatinships TC - 2
Cnceptual Dynamics Table f Cntents Velcity and acceleratin f a pint Gears and belts General planar mtin Relative velcity and acceleratin Mechanisms Cnstraints Linear bearings / cllars Slts Jints Surface cntacts Analyzing mechanisms Instantaneus center f zer and knwn velcities Instantaneus center f zer velcity Rlling Relative sliding in mechanisms Chapter 4 review prblems Chapter 4 prblems PART III: KINETICS NEWTONIAN MECHANICS Chapter 5: Particle Newtnian Mechanics Newtnian mechanics Kinetics Newtnian mechanics Mass versus weight Frce Acceleratin Newtn's laws Newtn's first law Newtn's secnd law Newtn's third law Typical frces acting n a bdy Weight (W) Nrmal Frce (N) Tensin frce (T) Frictin frce (F f ) Spring frce (F s ) Damping frce (F d ) Frictin Frictin definitin summary Slving a frictin prblem Free bdy diagrams Applying Newtn's secnd law Newtn's secnd law in rectangular crdinates Newtn's secnd law in nrmal-tangential crdinates Newtn's secnd law in plar crdinates Newtn's laws fr systems f particles Chapter 5 review prblems Chapter 5 prblems Chapter 5 activities TC - 3
DYNAMICS Table f Cntents Cnceptual Dynamics Chapter 5 design prblems Chapter 6: Rigid Bdy Newtnian Mechanics Rigid bdy mtin Rigid bdy mtin Prerequisite knwledge Center f mass / gravity Center f mass fr a system f particles Center f mass fr a rigid bdy Mments Perpendicular mment arm methd Frce cmpnent methd Crss prduct methd Mass mments Mass mment f inertia fr a system f particles Mass mment f inertia f a rigid bdy Pure translatin Pure rtatin General planar mtin with a center f mass reference Kinetics f rlling General planar mtin Chapter 6 review prblems Chapter 6 prblems PART IV: KINETICS WORK & ENERGY Chapter 7: Particle Wrk & Energy Wrk Wrk dne by a cnstant frce Wrk dne by a nn-cnstant frce Wrk in the n-t crdinate system Kinetic energy Energy Kinetic energy Wrk-kinetic energy balance Cnservative & nn-cnservative frces Ptential energy Ptential energy gravitatinal ptential energy elastic ptential energy Wrk-energy balance & cnservatin f energy The wrk-energy balance equatin Cnservatin f energy Wrk-energy fr a system f particles Wrk Kinetic and ptential energy Wrk-energy balance Pwer and efficiency Pwer Efficiency TC - 4
Cnceptual Dynamics Table f Cntents Chapter 8: Rigid Bdy Wrk & Energy Wrk-Energy fr systems f particles Wrk Kinetic energy Ptential energy Wrk-energy balance Wrk Wrk dne by a frce Wrk dne by a pure cuple (mment) Kinetic energy Pure translatin Pure rtatin Center f mass reference General planar mtin Ptential energy Gravitatinal ptential energy Elastic ptential energy Wrk-energy balance Wrk-energy balance equatin Cnservatin f energy equatin Wrk-Energy fr a system f rigid bdies Wrk Kinetic and ptential energy Chapter 8 review prblems Chapter 8 prblems PART V: KINETICS IMPULSE & MOMENTUM Chapter 9: Particle Impulse & Mmentum Linear mmentum Linear impulse Linear impulse-mmentum principle Linear impulse-mmentum fr a system f particles Cnservatin f linear mmentum Impact Impact Cefficient f restitutin Direct central impact Oblique central impact Angular mmentum Angular impulse Angular impulse-mmentum principle Angular impulse-mmentum fr a system f particles Cnservatin f angular mmentum Chsing a kinetic analysis methd Newtnian mechanics methd Wrk-energy methd Impulse-mmentum methd Chapter 9 review prblems Chapter 9 prblems TC - 5
DYNAMICS Table f Cntents Cnceptual Dynamics Chapter 10: Rigid Bdy Impulse & Mmentum Linear impulse-mmentum fr systems f particles Linear mmentum Particle linear mmentum Rigid bdy linear mmentum Linear impulse Particle linear impulse Rigid bdy linear impulse Linear impulse-mmentum principle Linear impulse-mmentum fr systems f rigid bdies Cnservatin f linear mmentum Angular impulse-mmentum fr systems f particles Angular mmentum Particle angular mmentum Rigid bdy angular mmentum Pure translatin pure rtatin Rtatin abut the mass center G General planar mtin Angular impulse Particle angular impulse Rigid bdy angular impulse Angular impulse-mmentum principle Fixed-axis rtatin abut a fixed pint O Rtatin abut the center f mass G Rtatin abut an arbitrary pint P Angular impulse-mmentum principle fr systems f rigid bdies Cnservatin f angular mmentum Chapter 10 summary Chapter 10 review prblems Chapter 10 prblems APPENDIX A: MOMENTS OF INERTIA Mass mments f inertia tables Mass mments f inertia Parallel axis therem APPENDIX B: MATH FOR DYNAMICS Gemetry Algebra Trignmetry Vectrs Calculus - Differentiatin Calculus - Integratin TC - 6
Cnceptual Dynamics Table f Cntents APPENDIX C: UNITS & PROPERTIES Units Prperties APPENDIX D: EQUATIONS Equatins TC - 7