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Chapter 13: Problem 1
Is a vertically bouncing ball an example of oscillatory motion? Of simple harmonic motion? Explain.
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A particle undergoes simple harmonic motion with amplitude \(25 \mathrm{cm}\) and maximum speed \(4.8 \mathrm{m} / \mathrm{s} .\) Find the (a) angular frequency, (b) period, and (c) maximum acceleration.
An automobile suspension has an effective spring constant of \(26 \mathrm{kN} / \mathrm{m},\) and the car's suspended mass is \(1900 \mathrm{kg} .\) In the absence of damping, with what frequency and period will the car undergo simple harmonic motion?
Two mass-spring systems have the same mass and the same total energy. The amplitude of system 1 is twice that of system \(2 .\) How do (a) their frequencies and (b) their maximum accelerations compare?
At the heart of a grandfather clock is a simple pendulum \(1.45 \mathrm{m}\) long; the clock ticks each time the pendulum reaches its maximum displacement in either direction. What's the time interval between ticks?
The human eye and muscles that hold it can be modeled as a mass-spring system with typical values \(m=7.5 \mathrm{g}\) and \(k=2.5 \mathrm{kN} / \mathrm{m} .\) What's the resonant frequency of this system? Shaking your head at this frequency blurs vision, as the eyeball undergoes resonant oscillations.
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