SPRING SEMESTER AE 262 DYNAMICS. (02) Dr. Yavuz YAMAN

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1 SPRING SEMESTER AE 262 DYNAMICS INSTRUCTOR (01) Dr. Yavuz YAMAN (02) Dr. Yavuz YAMAN TEXTBOOK Vector Mechanics for Engineers DYNAMICS F.P. Beer, E.R. Johnston Jr. and W.E. Clausen Eighth Edition in SI Units ISBN GRADING Two Midterm Exams 25 % each Homeworks 10 % Final Exam 40 % INTRODUCTION 11. KINEMATICS OF PARTICLES Rectilinear Motion of Particles Position, Velocity and Acceleration Determination of the Motion of a Particle Uniform Rectilinear Motion Uniformly Accelerated Rectilinear Motion Motion of Several Particles 1

2 11. KINEMATICS OF PARTICLES Curvilinear Motion of Particles Position Vector, Velocity and Acceleration Derivatives of Vector Functions Rectangular Components of Velocity and Acceleration Motion Relative to a Frame in Translation Tangential and Normal Components Radial and Transverse Components 12. KINETICS OF PARTICLES: NEWTON S SECOND LAW Newton s Second Law of Motion Linear Momentum of a Particle: Rate of Change of Linear Momentum Systems of Units Equations of Motion Dynamic Equilibrium Angular Momentum of a Particle: Rate of Change of Angular Momentum Equations of Motion in terms of Radial and Transverse Components Motion Under a Central Force: Conservation of Angular Momentum Newton s Law of Gravitation 13. KINETICS OF PARTICLES: ENERGY AND MOMENTUM METHODS Work of a Force Kinetic Enegry of a Particle: Principle of Work and Energy Applications of the Principle of Work and Enegy Power and Efficiency Potential Enegy Conservative Forces Conservation of Energy Motion Under a Conservative Central Force. Applications to Space Mechanics EXAM 1, TUESDAY, 02 APRIL 2013, 1800 hrs. 2

3 13. KINETICS OF PARTICLES: ENERGY AND MOMENTUM METHODS Principle of Impulse and Momentum Impulsive Motion Impact Direct Central Impact Oblique Central Impact 14. SYSTEMS OF PARTICLES Applications of Newton s Laws to the Motion of a System of Particles. Effective Forces Linear and Angular Momentum of a System of Particles Motion of the Mass Center of a System of Particles Angular Momentum of a System of Particles about its Mass Center Conservation of Momentum for a System of Particles Kinetic Energy of a Sytem of Particles 14.8 Work-Energy Principle. Conservation of Energy for a System of Particles Principle of Impulse and Momentum for a System of Particles 15. KINEMATICS OF RIGID BODIES (~ 6h) Translation Rotation About a Fixed Axis Equations Defining the Rotation of a Rigid Body About a Fixed Axis General Plane Motion Absolute and Relative Velocity in Plane Motion Instantaneous Center of Rotation in Plane Motion Absolute and Relative Acceleration in Plane Motion 3

4 16. PLANE MOTION OF RIGID BODIES: FORCES AND ACCELERATIONS Equations of Motion for a Rigid Body Angular Momentum of a Rigid Body in Plane Motion Plane Motion of a Rigid Body: d Alembert s Principle Constrained Plane Motion EXAM 2, TUESDAY, 07 MAY 2013, 1800 hrs. 17. PLANE MOTION OF RIGID BODIES: ENERGY AND MOMENTUM METHODS Principle of Work and Energy for a Rigid Body Work of Forces Acting on a Rigid Body Kinetic Energy of a Rigid Body in Plane Motion Systems of Rigid Bodies Conservation of Energy Power 17. PLANE MOTION OF RIGID BODIES: ENERGY AND MOMENTUM METHODS Principle of Impulse and Momentum for the Plane Motion of a Rigid Body Systems of Rigid Bodies Conservation of Angular Momentum Impulsive Motion Eccentric Impact 4

5 15. KINEMATICS OF RIGID BODIES (~ 5h) Rate of Change of a Vector with respect to a Rotating Frame Plane Motion of a Particle Relative to a Rotating Frame. Coriolis Acceleration Motion About a Fixed Point General Motion Three-Dimensional Motion of a Particle Relative to a Rotating Frame. Coriolis Acceleration Frame of Reference in General Motion. 5

Course syllabus Engineering Mechanics - Dynamics

Course syllabus Engineering Mechanics - Dynamics COURSE DETAILS Type of study programme Study programme Course title Course code ECTS (Number of credits allocated) Course status Year of study Course Web