System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 6, Problem 6.34P
(a) Obtain the transfer function
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The transfer function of the open system is given as: Show that when the phase angle of G(jw) is -180 degrees, the frequency is Wpc=28.3 rad/s. Find the magnitude of G(jWpc) at this frequency.
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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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- A spring-mass system with m = 50kg and k = 4000N/m shown in Figure Q3(a).If the mass is released from its equivalent position and results in simpleharmonic motion (SHM),(i) Starting from a free body diagram, derive the equation of motion.(ii) Determine the natural frequency. (iii) Explain on how you can reduce the natural frequency of the spring-masssystem.arrow_forwardPlease show all work. will upvote, thanks An input force f = F‧sin(ωt) is applied to the body in both systems along the direction x. -Which of the two systems performs better in the frequency domain in terms of reducing the steady-state displacement amplitude X of the body ? Known are: m = 1kg, c = 5 Ns/m and k = 100 N/m?arrow_forwardFor the rotational mechanical system shown, find the transfer function Ɵ1(s)/T(s) and Ɵ2(s)/T(s).arrow_forward
- Find the expression for the response x(t) of the system shown in the figure, when subjected to an excitation y(t) shown below.arrow_forwardSuppose a spring mass damper system with k=4000N/m, m=10kg,and c=40N-s/m Find the steady-state and total response of the system under harmonic force F(t)=200 cos t N and the initial conditions x0=0.1m and ̇x0'=0arrow_forwardA spring-mass-damper system consists of a mass m=120 slug, a spring constant k = 40 lb/in, and a damping coefficient c = 5lb*sec/in. Find the following: a.) Natural frequency b.) The damping ratio c.) Damped frequency. d.) Assume the initial conditions to be Uo = 0.2in, Vo = 0.5 in/sec, find the maximum deflection and plot the response, u(t).arrow_forward
- Equivalent stiffness of a beam system is 105 N/m and mass of the object resting on the beam system is 1000 kg. The natural frequency isarrow_forwardobtain the free response of the following models with the initial conditions x(0) = 0 and x'(0) = -1 a. 3x'' + 21x' +30x = 0 b. 5x'' + 20x' + 20x = 0 c. 2x'' + 8x' +58x = 0arrow_forwardThe amplitude of the steady-state response of a single-degree-of-freedom device is x=5 mm, when the excitation frequency is Ω=ωn. System mass m=200 kg. Fastening stiffness k=30 kNm and damping ratio ς=0.1. The system is loaded by the force F(t)=e^(i*Ω*t). How much must the excitation frequency be changed in order for the amplitude of the device to decrease to the value x=1 mm?arrow_forward
- A spring-mass system with m = 50kg and k = 4000N/m shown in Figure Q3(a).If the mass is released from its equivalent position and results in simple harmonic motion (SHM),(i) Starting from a free body diagram, derive the equation of motion.(ii) Determine the natural frequency. (iii) Explain on how you can reduce the natural frequency of the spring-mass system.arrow_forwardAn automobile is found to have a natural frequency of 2 rod per seconds without passengers and 17.32 rod per seconds with passengers of mass 400kg. Find the mass and the stiffness of the automobile by treating it as a single degree of freedom system. Given: Required: Solution: Show complete and detailed solution. Write legibly.arrow_forwardFor a single degree of system mass is 20kg stiffness=6.25kN/m damping coefficient 20Ns/m.Initial displacement at t=0 is zero and initial velocity is 150m/s obtain the equation of motion and find the displacement at 2secondsarrow_forward
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