Dynamics (Guaranteed - Spring)

Universitat Politècnica de València

Course Description

  • Course Name

    Dynamics (Guaranteed - Spring)

  • Host University

    Universitat Politècnica de València

  • Location

    Valencia, Spain

  • Area of Study

    Engineering Science and Math

  • Language Level

    Taught In English

    Hours & Credits

  • Credits

  • Recommended U.S. Semester Credits
  • Recommended U.S. Quarter Units
  • Overview


    Dynamics: Analysis and Design of Systems in Motion, by Benson H. Tongue, 2nd Edition, Wiley.



    Kinematics and kinetics of particles and rigid bodies in two and three dimensions; relative motion; work and energy; impulse and momentum.

    The overall goal of this course is to learn how formulate and solve the equations of motion (i.e. the differential equations) that describe motion of a system of particles and/or rigid bodies. To do this you will use Newton’s laws and the principles of work-energy and impulse-momentum to solve a variety of problems involving both the kinematics and kinetics of a system of particles and/or rigid bodies.



    Topic 1: Intro to Dynamics
    Topic 2: Coordinate Systems
    Topic 3: Motion of Translating Bodies
    Topic 4: Relative Motion
    Topic 5: Pulleys
    Topic 6: Cartesian and Polar Coordinates of Rigid Bodies
    Topic 7: Path Coordinates of Rigid Bodies
    Topic 8: Linear Momentum & Impulse
    Topic 9: Angular Momentum & Impulse
    Topic 10: Impact & Oblique Impact
    Topic 11: Kinetic Energy
    Topic 12: Potential Energy & Conservative Forces
    Topic 13: Power & Efficiency
    Topic 14: Force Balance & Linear Momentum of Multi-Particle Systems
    Exam I: Topics 1-12
    Topic 15: Angular Momentum of Multi-Particle Systems
    Topic 16: Work and Energy
    Topic 17: Mass Flow & Non-Constant Mass Flow
    Topic 18: Relative Velocities on Rigid Bodies
    Topic 19: Instantaneous Center of Rotation (ICR)
    Topic 20: Rotating Reference Frames and Rigid Body Acceleration
    Topic 21: Relative Motion on a Rigid Body
    Topic 22: Curvilinear Translation
    Topic 23: Rotation about a Fixed Point
    Topic 24: General 2D Motion
    Topic 25: Linear and Angular Momentum of Rigid Bodies
    Topic 26: Work Energy of Rigid Bodies



    1. Recite Newton’s three laws of motion.
    2. Convert a vector from one vector basis to another and use multiple reference frames to solve problems. Use rotating reference frames to solve problems.
    3. Describe a particle’s motion in Cartesian, polar, and path coordinate systems.
    4. Identify the number of degrees of freedom in a system.
    5. Describe the kinematics of system of particles with both relative motion and constrained motion.
    6. Identify the best approach to a given problem as force-acceleration, work-energy, or impulse-momentum
    7. Use the force-balance, impulse-momentum, and work-energy methods to solve systems with single-particle systems, multiple-particle systems, and rigid bodies.
    8. Determine the velocity/acceleration of a point on a rigid body if given the velocity/ acceleration of a different point and the body’s rotational motion.

    ABET Outcomes:
    (a) Ability to apply knowledge of math, science and engineering principles to civil engineering problems.
    (e) Ability to identify, formulate, and solve engineering problems.
    (k) Ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.

Course Disclaimer

Courses and course hours of instruction are subject to change.

Eligibility for courses may be subject to a placement exam and/or pre-requisites.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.


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