System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Textbook Question
Chapter 1, Problem 1.12P
The displacement of a certain object is described by
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The response of a certain dynamic system is given by: x(t)=0.003 cos(30t) +0.004 sin(30r) m
(5Mks)
Determino:
(i) the amplitude of motion.
(2Mks)
(ii) the period of motion.
(in) the linear frequency in Hz.
(4) the angular frequency in rad/s.
(2Mks) (2Mks)
(2Mks) (2Mks)
(v) the frequency in cpm.
(vi) the phase angle.
(2Mks)
(vii) the response of the system in the form of x(t) = X sin(t +$) m.
A particle vibrates through space. It took 3ms to complete one cycle. What is its frequency in Hz?
Pendulum A pendulum swings back and forth. The angular displacement u of the pen-dulum from its rest position after t seconds is given by the function u 5 20 cos (3pt),
where u is measured in degrees (Figure 14).a. Sketch the graph of this function for 0 <= t <= 6.b. What is the maximum angular displacement?c. How long does it take for the pendulum to complete one oscillation?
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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- Question 3 Find the natural frequency (in rad/sec) of the system in In the figure below: Use: m1= 5 kg, k1 = 53 N/m, k2 65 N/m and k3 18 N/m Write your answer to FOUR significant figures. Don't write the units X1 X2 k1 k2 k3 W ww m1arrow_forwardWhat is the displacement based on the following graph? Position vs. Time 20 12 -5.0 m 15.0 m -0.5 m 2.0 marrow_forwardQ: for the following equation, what are the units of x., u, and a if X, is the distance in m. t, is the time in second? [X. x3 = + u?t +arrow_forward
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