# Oscillation, Motion and Energy

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(Ï‰t) = Asin(2ÐŸÎ½)t ........(1) where y = displacement of the object describing SHM, A = amplitude, Ï‰ = angular frequency, Î½ = frequency.

Given: Frequency of oscillations = Î½ = 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.