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  1. ltkach2015

    Alternative Methods vs Iterative Design — Control Theory

    QUESTION (2/2) 1) What are some alternatives to iterative design in control theory? 2) I have a certain plant transfer function PTF(s) that is higher order than two and non-unity numerator. I want certain characteristics such as a certain damping ratio (zeta). So I want approximate it as...
  2. ltkach2015

    Why Time Response Characteristics Derived from Zero State Equation

    QUESTION: 1) Why are Time Response Characteristic's Expressions derived from only from Zero State Equations? NOTE: Nise Control Systems Engineering 6ed uses step inputs to derive Time Response Characteristics for 1st and 2nd order ordinary differential equations...
  3. ltkach2015

    Zero Homogenous Solutions with transient Particular Solutions- Physically Possible? & More Questions

    That is an error on my part. Correction: dy/dt + y = exp(-t) Zero-Initial Condition: y(0) = 0
  4. ltkach2015

    Zero Homogenous Solutions with transient Particular Solutions- Physically Possible? & More Questions

    ASSUMPTIONS: BIBO/stable systems NOTE: zero here does not mean the roots of the denominator in a transfer function TRUE/FALSE -Please provide feedback- some answers are based on ODE example listed below 1/True) The Homogenous Solution is either zero or transient.; i.e. it can never be steady...
  5. ltkach2015

    Homogenous Solution Represents the Transient Response Right?

    So, I was beginning to build a new and deeper understanding when I noticed that Particular Solutions can also be transient: Thus in that scenario, I believe, the Particular Solutions can, jointly, represent the Transient Response. And as expected there isn't a Steady State Response because the...
  6. ltkach2015

    Homogenous Solution Represents the Transient Response Right?

    Ok. Yes it is interesting. Thank you for the reply.
  7. ltkach2015

    Homogenous Solution Represents the Transient Response Right?

    CONCEPTUAL QUESTIONS: -Does the Homogenous Solution represent the Transient Response? Let me specify. For a N-DOF spring, mass, and damper mechanical system: -Does the Homogenous Solution represent the Transient Response for given mechanical system? MY ANSWER: Yes. ASSUMPTIONS: -only...
  8. ltkach2015

    Dartmouth Extended Laplace Tables -- Not general enough? item26.a

    Homework Statement [/B] http://www.dartmouth.edu/~sullivan/22files/New Laplace Transform Table.pdf (see item 26a) homogenous solution to underdamped in amplitude phase form: (see attached image) 2. Relevant info - non zero initial conditions: x(t=0) = xo AND dx/dt(t=0) = vo - unforced...
  9. ltkach2015

    Steady Flow-Does That Mean ALL Properties of Flow are Steady?

    QUESTION: In general: when a flow is considered steady does that mean all properties of the flow are steady? Or: can a flow have steady and unsteady properties?
  10. ltkach2015

    Dynamics Problem: Not Understanding the Acceleration Term

    I think you are totally right about it being on a horizontal plane. This take care of the solution. Wow. Thanks. I don't know what you mean about the directions, I believe I did show them.
  11. ltkach2015

    Dynamics Problem: Not Understanding the Acceleration Term

    Ok I would agree with you too, however, the problem forces me to do one of two things to get the same result: 1) ignore the weight term. I think some call it the dynamic case. or 2) the weight term is in fact apart of the total acceleration. Answer: Tab = Tdc = sqrt(2)*m*a
  12. ltkach2015

    Dynamics Problem: Not Understanding the Acceleration Term

    Homework Statement [/B] If particles at B and C of equal mass m are connected by strings to each and to points A and D as shown, all points remaining in the same horizontal plane. If points A and D move with the same acceleration a along parallel paths, solve for the tensile force in each of...
  13. ltkach2015

    Proof of Pascal's Law

    Hello LFS, were you able to figure this out? I would love to know!
  14. ltkach2015

    Resolved Shear Stress VS General Shear Stress -Contradiction?

    TERMS: Slip Plane: is the plane that has the densest atomic packing—that is, has the greatest planar density. Slip Direction: corresponds to the direction in this plane that is most closely packed with atoms—that is, has the highest linear density. NOMENCLATURE: θ = angle of the slip plane as...
  15. ltkach2015

    Thermal Ckt Parallel Configuration & 1-D HeatFlow Contradictory?

    Wow that makes a lot of sense! Though I still have some questions and responses to your answers. Answer 1&2: dT/dy = 0; no temperature difference between top and bottom! It's the temperature difference that drives the heat flow. Answer 3: Although the heat can still move in that additional...
  16. ltkach2015

    Thermal Ckt Parallel Configuration & 1-D HeatFlow Contradictory?

    1. My Conceptual Questions (5) is at 3. CONSIDER: Case 1: two dissimilar slabs of material (say slab 1 and slab 2) connected in series (bonded at their interface). There is a temperature difference: T1 @ slab1 and T2 @ slab2. Case 2: two dissimilar slabs of material bonded together, i.e...
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