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16.07

Dynamics

4-0-8 units · Undergraduate

Fundamentals of Newtonian mechanics. Kinematics, particle dynamics, motion relative to accelerated reference frames, work and energy, impulse and momentum, systems of particles and rigid body dynamics. Applications to aerospace engineering including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics.

Fall 2009

Topics

  • Introduction
  • MATLAB® demo
  • Degrees of freedom and constraints, rectilinear motion
  • Vectors, matrices and coordinate transformations
  • Curvilinear motion; Cartesian coordinates
  • Recitation
  • Other coordinate systems
  • Intrinsic coordinates
  • Relative motion using translating axes
  • Relative motion using rotating axes
  • Linear impulse and momentum; collisions
  • Angular impulse and momentum for a particle
  • Conservation laws for systems of particles
  • Work and energy
  • Conservative internal forces and potential energy
  • Variable mass systems: the rocket equation
  • Central force motion: Kepler’s laws
  • Central force motion: orbits
  • Midterm 1
  • Orbit transfers and interplanetary trajectories
  • Exploring the neighborhood: the restricted three-body problem
  • Vibration, normal modes, natural frequencies, instability
  • Energy methods: Lagrange’s equations
  • 2D rigid body dynamics
  • 2D rigid body dynamics: work and energy
  • 2D rigid body dynamics: impulse and momentum
  • Pendulums
  • 3D rigid body kinematics
  • 3D rigid body dynamics: the inertia tensor
  • 3D rigid body dynamics: kinetic energy, instability, equations of motion
  • 3D rigid body dynamics: equations of motion; Euler’s equations
  • Midterm 2
  • 3D rigid body dynamics
  • 3D rigid body dynamics: tops and gyroscopes
  • Inertial instruments and inertial navigation

Readings

  • Meriam, J. L., and L. G. Kraige. Engineering Mechanics: Dynamics . 6th ed. New York, NY: Wiley, 2006. ISBN: 9780471739319.
    Listed reading
  • Marion, Jerry B., and Stephen T. Thornton. Classical Dynamics of Particles and Systems . 5th ed. New York, NY: Brooks Cole, 2003. ISBN: 9780534408961.
    Listed reading
  • Thomson, William Tyrrell. Introduction to Space Dynamics . New York, NY: Dover, 1986. ISBN: 9780486651132.
    Listed reading
  • Kleppner, Daniel, and Robert Kolenkow. An Introduction to Mechanics . New York, NY: McGraw-Hill, 1973. ISBN: 9780070350489.
    Listed reading
  • Harrison, H. R., and T. Nettleton. Advanced Engineering Dynamics . London, UK: Arnold, 1997. ISBN: 9780340645710.
    Listed reading
  • Den Hartog, J. P. Mechanics . New York, NY: Dover, 1961. ISBN: 9780486607542.
    Listed reading
  • ———. Mechanical Vibrations . 4th ed. New York, NY: McGraw-Hill, 1956. ISBN: 9780070163898.
    Listed reading
  • Hibbeler, Russell C. Engineering Mechanics: Dynamics . 9th ed. Upper Saddle River, N.J.: Prentice Hall, 2001. ISBN: 9780130200044.
    Listed reading

Prerequisites & course information

Prereq: ( 16.001 or 16.002 ) and ( 16.003 or 16.004 ) U (Fall) 4-0-8 units

Sources