Catalog Data:

Elements of vector algebra; dynamics of particles, systems of particles and rigid bodies; kinematics; momentum relations, energy methods; vibrations; euler’s equation of motion

Prerequisites by topic:

CE205, Statics

Textbook:

Engineering Mechanics (9th) Dynamics, Hibbeler Prentice Hall

Coordinator:

H.L. Wong, Professor of Civil Engineering

Topics:

1. Application of vector algebra in dynamics, identities, definitions of scalar and vector problems. Time derivatives of vectors. (1 week).
2. Definition of a basis (coordinate system) and Orthgonal transformation of vectors written with different bases (1 week).
3. Kinematics of a particle in various coordinate systems (2 weeks).
4. Applications of Newton's 2nd Law (1 week).
5. Alternate forms of Newton's 2nd law: impulse and momentum, work-energy relationship, angular momentum and angular impulse (3 weeks).
6. Kinematics of rigid bodies, rotation about a fixed axis rotation about a fixed point. and general motion.(2 weeks).
7. Three-dimensional kinetic problems, gyroscopic motion (4 weeks).

Course Objectives:

1. To study vector algebra and vector Calculus in dynamics and transformation of coordinates.
   
   Outcomes: The students will be able to:
   1. Express force and position vectors in Cartesian and polar vector form, determine unit vectors, vector operations, scalar and cross products.
   2. Express transformations of coordinates as orthogonal matrices and perform such transformations.
   3. Determine the first and second time derivatives of vectors.
   
   
   
2. To study the Kinematics of a particle in various coordinate systems.
   
   Outcomes: The students will be able to:
   1. Learn and analyze the rectilinear and general curvilinear motion in Rectangular coordinate.
   2. Learn and analyze the motion of a projectile
   3. Learn and analyze the curvilinear motion in Normal and Tangential coordinate.
   4. Learn and analyze the curvilinear motion in Cylindrical coordinate.
   
   
   
3. To study the Kinetics of a Particle under Newton's Laws of Motion.
   
   Outcomes: The students will be able to:
   1. Learn and analyze the equations of Motion in Rectangular, Normal-Tangential and Cylindrical coordinates.
   2. Learn and analyze the equations of a system of particles.
   
   
   
4. To study the Kinetics of a Particle in Alternate forms: Energy and Momentum
   
   Outcomes: The students will be able to:
   1. Learn and analyze the Principle of Work and Energy of one and a system of particles.
   2. Learn and analyze Conservative forces, Potential Energy and Conservation of Energy.
   3. Learn and analyze the Principle of Linear Impulse and Momentum of one and a system of particles.
   4. Learn and analyze the Conservation of Linear Momentum for system of Particles.
   5. Learn and analyze Moment and Angular Impulse and Momentum Principles.
   
   
   
5. To study the Kinematics and Kinetics of a Rigid Body
   
   Outcomes: The students will be able to:
   1. Learn and analyze the Translation, Fixed-Axis Rotation and General Plane Motion of a Rigid Body.
   2. Learn and analyze the Instantaneous center of Zero Velocity.
   3. Learn and analyze the Plane Kinetic Equations of Motion.
   4. Learn and analyze the Three-Dimensional Equation of Motion and Fixed Axis Rotation of a Rigid Bod
   5. Learn and analyze the Gyroscopic Motion of a Rigid Body.

Computer usage:

MatLab is used for matrix computation and Mathematica is used for the calculation of moment of inertia of irregular shapes.

Relation of Course to Civil Engineering Program Objectives/Outcomes:

Of the Civil Engineering Program Objectives/Outcomes, (a, c-e, j) are related to this course. In taking the course, the student will be able to:

1. Identify, formulate and solve engineering problems & issues.
2. Recognize the need for continuing life-long learning.
3. Apply the fundamental knowledge of science, mathematics and engineering principles.
4. Use the engineering skills and tools in engineering practice.
5. Work with, and in specialized applications of, computers in the performance of job functions.

Prepared by:

H.L. Wong