CE 29800 – Basic Mechanics II (Dynamics)

Credits and contact hours:

  • 3 credits
  • Lecture that meets 3 times per week for 50 minutes per meeting for 15 weeks

Specific course information:

  • Catalog description: Kinematics of particles. Kinetics of particles and systems of particles. Kinematics of rigid bodies. Mass moments of inertia. Kinestics of rigid bodies. Mechanical vibrations.
  • Prerequisites: CE 29700 or equivalent with minimum Grade of C-
  • Course status: Required course

Specific Goals for the course:

  • Student learning outcomes - Upon successful completion of this course the student shall be able to:
    • analyze and solve simple problems in the dynamics of particles
    • analyze and solve simple problems involving general plane motion of rigid bodies
  •  Relationship of course to program outcomes
    • Outcome 1: An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics

Topics:

  • Kinematics of particles
    • Relationships between position, velocity, and acceleration for a particle (point). Description of motion in different standard coordinate systems (rectangular, tangential-normal, radial-transverse). Relative motion. Dependent or constrained motion.
  • Kinetics of particles (points)
    • Force-acceleration (Newton’s 2nd law), work-energy, momentum-impulse approaches. Angular momentum concepts. Kinetics of a system of particles.
  • Kinematics of rigid bodies
    • Conceptualization of rigid body as a constrained system of particles. Types of motion: pure translation, pure rotation about a fixed axis, general plane motion as a combination of translation and (relative) rotational motion. Instantaneous center of zero velocity. Description of motion in a rotating reference frame.
  • Kinetics of rigid bodies
    • Mass center, mass moment of inertia, and effective moments. Force-acceleration and moment-(angular) acceleration balances. Role of kinematics. Kinetic energy in rigid-body analysis.
  • Introduction to (free) vibrations
    • Simple harmonic motion, differential equation and solution, the natural frequency. Applications to simple particle systems and rigid-body problems.