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Course Outline

1. Introduction to Dynamics

2. Position, Velocity, and Acceleration

3. Determination of the Motion of the Particles

4. Uniform Rectilinear Motion

5. Uniformly Accelerated Rectilinear Motion

6. Position Vector, Velocity, and Acceleration

7. Derivatives of Vector Functions

8. Rectangular Components of Velocity and Acceleration

9. Flight of Projectile

10. Tangential and Normal Components of Acceleration

11. Kinetics of Particles: Newton’s Second Law

12. Dynamic Equilibrium

13. Kinematics of Rigid Bodies

13.1. Translation

13.2. Rotation About a Fixed Axis

13.3. Equations Defining the Rotation of a Rigid Body About a Fixed Axis

13.4. General Plane Motion

13.5. Absolute and Relative Velocity in Plane Motion

13.6. Instantaneous Center of Rotation in Plane Motion

13.7. Absolute and Relative Acceleration

13.8. Rate of Change of a Vector with Respect to a Rotating Frame

13.9. Plane Motion of a Particle Relative to a Rotating Frame; Coriolis Acceleration

13.10. Motion About a Fixed Point

13.11. General Motion

14. Plane Motion of Rigid Bodies: Forces and Accelerations

14.1. Equation of Motions

14.2. Angular Momentum of a Rigid Body in Plane Motion

14.3. Plane Motion of a Rigid Body. D’ Alembert’s Principle

14.4. Solution of Problems involving the Motion of a Rigid Bodies

14.5. Systems of Rigid Bodies

14.6. Constrained Plane Motion

15. Plane Motion of Rigid Bodies: Energy and Momentum Methods

15.1. Principle of Work and Energy for a Rigid Body

15.2. Work of Forces Acting on a Rigid Body

15.3. Kinetic Energy of a Rigid Body in Plane Motion

15.4 Systems of Rigid Bodies

15.5 Conservation of Energy

15.6 Principle of Impulse and Momentum

15.7 Conservation of Angular Momentum

15.8 Impulsive Motion

15.9 Eccentric Impact