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
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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:
Chapter 1 Solutions
System Dynamics
Ch. 1 - Prob. 1.1PCh. 1 - Folklore has it that Sir Isaac Newton formulated...Ch. 1 - A ball is thrown a distance of 50 feet. 5 inches....Ch. 1 - An American football field is 100 yards long. How...Ch. 1 - How long is a 100-meter dash in feet?Ch. 1 - Convert 50 feet per second to miles per hour.Ch. 1 - The speed limit in some countries is 100...Ch. 1 - How many 60 watt lightbulbs are equivalent to one...Ch. 1 - Convert the temperature of 70°F to °C.Ch. 1 - Convert 30°C to °F.
Ch. 1 - A particular motor rotates at 3000 revolutions per...Ch. 1 - The displacement of a certain object is described...Ch. 1 - Prob. 1.13PCh. 1 - The displacement in meters of a certain vibrating...Ch. 1 - The distance a spring stretches from its “free...Ch. 1 - The following “small angle” approximation for the...Ch. 1 - Prob. 1.17PCh. 1 - Obtain two linear approximations of the function...Ch. 1 - Prob. 1.19PCh. 1 - Obtain two linear approximations of the function...Ch. 1 - Obtain a linear approximation of the function fh=h...Ch. 1 - The flow rate f in m3/s of water through a...Ch. 1 - Prob. 1.23PCh. 1 - The population data for a certain country are...Ch. 1 - Prob. 1.25PCh. 1 - Quenching is the process of immersing a hot metal...Ch. 1 - The useful life of a machine bearing depends on...Ch. 1 - 1.28 A certain electric circuit has a resistor and...Ch. 1 - 1.29 Water (of volume 425 ml) in a glass measuring...Ch. 1 - Consider the milk container of Example 1.4.2...Ch. 1 - Consider the milk container of Example 1.4.2...
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- In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O'max, is TI S^(-1). What is the time needed for the pendulum to complete one-half oscillation? O 0.25 sec O 0.5 sec O 2 sec O 4 sec O 1 sec A traveling wave on a taut string with a tension force T. is given by the wave noters and t is inarrow_forwardIn an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, 0"max, to the maximum angular velocity, O'max, is Tt s^(-1). What is the time needed for the pendulum to comnplete one-half oscillation? O 2 sec O 1 sec O4 sec 0.25 sec 0.5 sec Consider a place where the gravity is one-fourth the gravity on Earth (g = g/4), that placearrow_forwardA 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 v(t) is the displacement of the tines in millimeters at time t seconds. Find the period of the vibration.arrow_forward
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