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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 μ m, at all frequencies, find the greatest frequency for which the small body stays in contact with the diaphragm. 2. A body of uniform crosssectional area A and mass density ρ floats in a liquid of density ρ (where ρ < ρ ), 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 π radicalBigg V g A . 3. A particle of mass m executes onedimensional simple harmonic oscillation under the action of a conservative force such that its instantaneous...
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 Spring '08
 Staff
 Current, Work, single cycle, small amplitude oscillations, angular oscillation frequency, eﬀective Qf

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