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Unformatted text preview: Physics 315: Oscillations and Waves Homework 1: Due in class on Wednesday, Sep. 9th 1. A small body rests on a horizontal diaphragm of a loudspeaker which is supplies with an alternating current of constant amplitude but variable frequency. If diaphragm executes simple harmonic oscillation in the vertical direction of amplitude 10 m, at all frequencies, find the greatest frequency for which the small body stays in contact with the diaphragm. 2. A body of uniform cross-sectional area A and mass density floats in a liquid of density (where < ), and at equilibrium displaces a volume V . Making use of Archimedes principle (that the buoyancy force acting on a partially submerged body is equal to the mass of the displaced liquid), show that the period of small amplitude oscillations about the equilibrium position is T = 2 radicalBigg V g A . 3. A particle of mass m executes one-dimensional simple harmonic oscillation under the action of a conservative force such that its instantaneous...
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