# Search results

1. ### 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. ### 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. ### 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. ### 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. ### 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. ### Homogenous Solution Represents the Transient Response Right?

Ok. Yes it is interesting. Thank you for the reply.
7. ### 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. ### Dartmouth Extended Laplace Tables -- Not general enough? item26.a

Yes I agree the dimensions do look off
9. ### 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...
10. ### 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?
11. ### 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.
12. ### 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
13. ### 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...
14. ### Proof of Pascal's Law

Hello LFS, were you able to figure this out? I would love to know!
15. ### 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...
16. ### 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...
17. ### 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...