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Chapter 13: Problem 32
A wheel rotates at 600 rpm. Viewed from the edge, a point on the wheel appears to undergo simple harmonic motion. What are (a) the frequency in \(\mathrm{Hz}\) and (b) the angular frequency for this SHM?
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When in its cycle is the acceleration of an undamped simple harmonic oscillator zero? When is the velocity zero?
The \(x\) - and \(y\) -components of motion of a body are both simple harmonic with the same frequency and amplitude. What shape is the path of the body if the component motions are (a) in phase, (b) \(\pi / 2\) out of phase, and (c) \(\pi / 4\) out of phase?
A \(500-\mathrm{g}\) block on a friction-less, horizontal surface is attached to a rather limp spring with \(k=8.7 \mathrm{N} / \mathrm{m} .\) A second block rests on the first, and the whole system executes simple harmonic motion with period \(1.8 \mathrm{s}\). When the amplitude of the motion is increased to \(35 \mathrm{cm},\) the upper block just begins to slip. What's the coefficient of static friction between the blocks?
One pendulum consists of a solid rod of mass \(m\) and length \(L\) and another consists of a compact ball of the same mass \(m\) on the end of a mass less string of the same length \(L\). Which has the greater period? Why?
A mass-spring system has \(b / m=\omega_{0} / 5,\) where \(b\) is the damping constant and \(\omega_{0}\) the natural frequency. How does its amplitude at \(\omega_{0}\) compare with its amplitude when driven at frequencies \(10 \%\) above and below \(\omega_{0} ?\)
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