Engineering Dynamics MIT

 Technology

This course covers the basics of engineering dynamics. After this course, students will be able to evaluate free and forced vibration of linear multidegree of freedom models of mechanical systems and matrix eigenvalue problems.

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Lecture 1: History of Dynamics; Motion in Moving Reference Frames
Prof. Vandiver introduces key historical thinkers in the study of dynamics. He then derives equations of motion using Newton's laws, gives an introduction to kinematics using reference frames and vectors, and goes over motion in moving reference frames.

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Lecture 2: Newton's Laws & Describing the Kinematics of Particles
Prof. Vandiver goes over kinematics (describing the motion of particles and rigid bodies), Newton's three laws of motion, about action and reaction forces, the importance of an inertial reference frames, and the definition of center of mass.

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Lecture 3: Motion of Center of Mass; Acceleration in Rotating Ref
Prof. Vandiver goes over an example problem of a block on a slope, the applications of Newton's 3rd law to rigid bodies, kinematics in rotating and translating reference frames, and the derivative of a rotating vector in cylindrical coordinates.

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Lecture 4: Movement of a Particle in Circular Motion w/ Polar Coordinates
Prof. Vandiver goes over velocity and acceleration in a translating and rotating coordinate system using polar and cylindrical coordinates, angular momentum of a particle, torque, the Coriolis force, and the definition of normal and tangential coordinates.

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Recitation 2: Velocity and Acceleration in Translating and Rotating Frames
This recitation includes a concept review for the week and covers an amusement park ride problem with velocity in translating and rotating frames. The class also covers questions regarding planar motion problems.

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Lecture 5: Impulse, Torque, & Angular Momentum for a System of Particles
Prof. Vandiver goes over the use of tangential and normal coordinates, a review of linear momentum and impulse, then the definition and derivation of the torque/angular momentum relationship with respect to moving points and rigid bodies.