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    Is the system linear if there is an independant gravity term

    Like the topic,if in my system derivation, there is an independent gravitational force independent of the state variable, is my system linear? I believe it is not but my instructor is telling is it is. I'm thinking that if there is is an extra gravitational term,the output of the system does not...
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    Equation of Motion of a Inverse Pendulum on a Cart

    Homework Statement The nonlinear, inherently unstable inverted pendulum is shown in Figure 1.15. The goal is to maintain the pendulum angle θ(t) = 0 by using a feedback controller with a sensor (encoder or poten- tiometer) for θ(t) and an actuator to produce an input force f (t). The...
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    Natural response of a RLC underdamped circuit?

    Not really sure whether this question belongs here or not (if it doesn't, help move?). So I was reading my electronic circuits textbook and am at the section of underdamped RLC unforced response, and the book mentions the natural response as v_{n} = e^{-\alpha\cdot t}(A_{1}\cdot...
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    Fluid Mechanics equations in Cartesian and Cylindrical coordinates?

    Homework Statement Not really a homework question, but more of a concept question which i'm unfamiliar with. So as we know, equations can be in any coordinate, but how do you convert them from one to another? For example, a few equations from fluid mechanics. the first equation is the vector...
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    2nd order System steady state error

    Homework Statement The system's closed loop transfer function is given below, find K and \alpha such that the input R(s) = 1/s^2 has no steady state error. (Hint: the system is not a unit feedback system) http://img829.imageshack.us/img829/9899/problempr.png [Broken] Homework Equations...
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    The world revolves around a person

    This isn't the phrase egotistic or anything, but rather a random conversation i came up with my friends. We all know that people (and things) revolve around the world, but could one say that the world revolves around a person/thing? For example, if a car crashed into a wall, one could picture it...
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    Transient response of a system (control)

    Homework Statement Find T,K value such that the system's percent overshoot is .254 and peak time is 3 http://img560.imageshack.us/img560/6139/problemz.png [Broken] Homework Equations [PLAIN]http://img46.imageshack.us/img46/51/releq.png [Broken] The Attempt at a Solution...
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    Meaning of each element inside a Fourier Matrix?

    Hi everyone, Our digital image processing teacher is now teaching fourier transforms. He's using matlab and using the FFT function to get the fourier transforms of a signal, but he has also taught us that we can use a fourier matrix. He finished going through how to form one, but on a homework...
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    Dynamics: conversvation of angular momentum (concept question)

    Homework Statement This is more of a concept problem rather than solving it. So the questions are as below and the solution provided by the book. (sorry about the large sizes) http://img190.imageshack.us/img190/6366/201019dynamics.png [Broken]...
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    Dynamics: planar kinetics of a rigid body (impulse and momentum)

    Homework Statement http://img340.imageshack.us/img340/7379/87835960.png [Broken] r_{i}=.3 m \text{ and } r_{o}=.9 m The spool has a weight of 300N and a radius of gyration k_{O} = .45 m. A cord is wrapped around its inner hub and the end subjected to a horizontal force P = 50N. Determine the...
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    Thermodynamics: polytropic processes

    Homework Statement "During some actual expansion and compression processes in piston-cylinder devices, the gases have been observed to satisfy the relationship PV^n=c where n and C are constants. Calculate the work done when a gas expands from 150kPa and .03 m^3 to a final volume of .2m^3 for...
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    Computer controlled machine/robot?

    I'm just curious, I'm a sophomore in ME so I haven't gotten a chance to touch robotics/control yet (these classes are set in junior year and above), but I would like to start early. Are there any books/websites I should read if I'm into this field? I've done some search and came up with "Society...
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    Dynamics: Particle confined in slot and a pole moving

    Homework Statement http://img692.imageshack.us/img692/91/1391.gif [Broken] Homework Equations \Sigma F_{r} = ma_{r} = m(\ddot{r}-r\dot{\theta}^2) \Sigma F_{\theta} = ma_{\theta} = m(r\ddot{\theta} + 2\dot{r}\dot{\theta}) The Attempt at a Solution...
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    Tanker in water with drag

    Homework Statement The tanker has a weight 4000 MN and is traveling forward at speed 1m/s in still water when the engines are shut off. If the drag resistance of water is proportional to the speed of tanker at any instant and can be approximated by F=0.65v MN, determine the time needed for the...
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