System Dynamics
System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 1, Problem 1.14P

The displacement in meters of a certain vibrating mass is described by x t = 0.005 sin 6 t . What is the amplitude and frequency of its velocity (t)? What is the amplitude and frequency of its acceleration (t)?

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A tuning fork is struck, producing a pure tone as its tines vibrate. The vibrations are modeled by the function v(t) = 0.7 sin(880t) where u(t) is the displacement of the tines in millimeters at time t seconds. Find the frequency of the vibration, that is, the number of times the fork vibrates per second.
The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.3cos(wt), where x is in meters and t is in seconds. At x = 0, the particle's velocity is v = -1.256 m/s. The period of oscillation, T, equals: O 1.5 sec O 0.25 sec O 0.5 sec O 1 sec O 3 sec
The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.1cos(wt), where x is in meters and t is in seconds. At x = 0, the particle's velocity is v = -1.256 m/s. The period of oscillation, T, equals:

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System Dynamics

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