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    Oscillation, Motion and Energy

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    A loudspeaker diaphragm is oscillating in simple harmonic motion with a frequency of 461 Hz and a maximum displacement of 0.57 mm. What are the
    (a) angular frequency,
    (b) maximum speed, and
    (c) magnitude of the maximum acceleration?

    A 7.66 kg object on a horizontal frictionless surface is attached to a spring with k = 2460 N/m. The object is displaced from equilibrium 64.4 cm horizontally and given an initial velocity of 9.29 m/s back toward the equilibrium position. What are
    (a) the motion's frequency (in Hz),
    (b) the initial potential energy of the block-spring system,
    (c) the initial kinetic energy, and (d) the motion's amplitude?

    Please show work.

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    Solution Preview

    Please refer to the attachment.

    Chapter 15, Problem 71
    A loudspeaker diaphragm is oscillating in simple harmonic motion with a frequency of 461 Hz and a maximum displacement of 0.57 mm. What are the (a) angular frequency, (b) maximum speed, and (c) magnitude of the maximum acceleration?

    Solution: A SHM can be described by the equation: y = Asin(ωt) = Asin(2Пν)t ........(1) where y = displacement of the object describing SHM, A = amplitude, ω = angular frequency, ν = frequency.

    Given: Frequency of oscillations = ν = 461 Hz, Maximum displacement (amplitude) = A = 0.57 mm = 0.57/1000 = 57 x 10-5 m

    a) Angular ...

    Solution Summary

    This solution answers various physics questions about oscillation, motion and energy.

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