8.01 Lecture Notes - Lecture 1: Simple Harmonic Motion, Angular Frequency

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Mass on a spring: energy x(t) = acos(w t + o) v (t) = -w asin(w t + o) w = Constant energy oscillates between kinetic and potential energies. A u-tube open at both ends to atmospheric pressure is lled with an incompressible uid of density r. The cross-sectional area a of the tube is uniform and the total length of the column of uid is l. A piston is used to depress the height of the liquid column on one side by a distance x, and then is quickly removed. Ow and no drag at the walls of the u-tube.

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