System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 6, Problem 6.11P
Obtain the model of the voltage
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First, define the coordinate system XY with its origin at O2 and X-axis passing through O4 asshown above, then based on the provided steps Perform coordinate transformation from XY to xy to get the trajectory of point P. Show all the steps and calcualtions
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Question 2 (40 Points)
Consider the following double pendulum-like system with links ₁ and 12. The angles 0 and & could have
angular velocities ėêk and êk, respectively, where ②k is a unit vector that points out of the page and is
perpendicular to x and y. They could also have angular accelerations Ök and êk. The angle is
defined relative to the angle 0. The link 12 is a spring and can extend or compress at a rate of 12. It can
also have a rate of extension or compression Ï2.
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y
êr1
êe
12
χ
3
еф
er2
ده لج
1) Express the velocity of the mass in terms of the unit vectors ê0, êr1, êø, and êr2, and any
extension/contraction of the links (e.g.,. i; and Ï¿) (12 Points)
2) Express the acceleration of the mass in terms of the unit vectors ê¤, ê×1, êp, and êÃ2, and any
extension/contraction of the links (e.g.,. İ; and Ï¿) (12 Points)
3) Express the velocity of the mass in terms of unit vectors î and ĵ that point in the x and y
directions, respectively. Also include the appropriate,…
Chapter 6 Solutions
System Dynamics
Ch. 6 - Prob. 6.1PCh. 6 - Determine the voltage v1 in terms of the supply...Ch. 6 - The Wheatstone bridge, like that shown in Figure...Ch. 6 - Prob. 6.4PCh. 6 - Obtain the model of the voltage v1 , given the...Ch. 6 - Prob. 6.6PCh. 6 - Prob. 6.7PCh. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - The resistance of a telegraph line is R=10 , and...
Ch. 6 - Obtain the model of the voltage vo , given the...Ch. 6 - Obtain the model of the voltage vo , given the...Ch. 6 - Obtain the model of the current i, given the...Ch. 6 - Prob. 6.14PCh. 6 - Obtain the model of the currents i1 , i2 , and i3...Ch. 6 - Obtain the model of the currents i1 , i2 , and the...Ch. 6 - Prob. 6.17PCh. 6 - Prob. 6.18PCh. 6 - Prob. 6.19PCh. 6 - Prob. 6.20PCh. 6 - Use the impedance method to obtain the transfer...Ch. 6 - Use the impedance method to obtain the transfer...Ch. 6 - Use the impedance method to obtain the transfer...Ch. 6 - Use the impedance method to obtain the transfer...Ch. 6 - 6.25 Use the impedance method to obtain the...Ch. 6 - Prob. 6.26PCh. 6 - Prob. 6.27PCh. 6 - Prob. 6.28PCh. 6 - Prob. 6.29PCh. 6 - Prob. 6.30PCh. 6 - Prob. 6.31PCh. 6 - Prob. 6.32PCh. 6 - Prob. 6.33PCh. 6 - (a) Obtain the transfer function s/Vi for the...Ch. 6 - (a) Obtain the transfer function s/VLs for the...Ch. 6 - Prob. 6.36PCh. 6 - Prob. 6.37PCh. 6 - Figure P6.38 is the circuit diagram of a...Ch. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - Prob. 6.41PCh. 6 - Prob. 6.42PCh. 6 - A single link of a robot arm is shown in Figure...Ch. 6 - A conveyor drive system to produce translation of...Ch. 6 - Prob. 6.45PCh. 6 - Prob. 6.46PCh. 6 - Prob. 6.47P
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