1) Represent state-space model for the following system. 2) Determine controllability. 3) Obtain transfer function.

Q: Q2) Find the followings for the translational mechanical system shown below: The transfer function,…

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Q: equations: QB: Obtain the transfer function of system defined by the following state space 0 [x1 0…

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Q: Example For the system shown, the equations of motion are given by m₁x₁ + cx₁ + kx₁ Cx₂ = 0 = F m₂x₂…

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Q: The state transmission matrix of the system whose state-space [2³] =102² J] [₁ и 0 a. b. C. O d. c.…

A: The state transmission matrix of the system is given below, x˙1x˙2=01α20x1x2+01u

Q: (1) For the hydraulic system shown (a) develop a model that represents the (1) (2) (3) system. (b)…

A: Given: To find: Develop a model that represents the system

Q: Represent the translational mechanical system shown below in state space, where x3(t) is the output.…

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Q: For the system shown in Figure 1, the output is the total momentum of the system. Draw the free-…

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Q: Find the steady state response xss(t)

A: we have to calculate the vale of steady state response

Q: The matrix form of the system is

A: Option a. (d) is correct... According to the question first option is correct.

Q: 1. For the following mechanical translational system a. Write two differential equations of Order in…

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Q: G3 R(s) Cs) G2 H2

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Q: the open - loop transfer function of the system given as in figure

A: 3.6

Q: 2. Find the equation(s) of motion of the following system. How many DOF does this system have? The…

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Q: Consider a causal second-order system with the transfer function 1 G(s) = 1+2s+s² 1 with a unit-step…

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Q: For plate with dimension (1x2), length in x-direction is 1, and y-direction is 2, left side is kept…

A: For the given plate dimensions and end conditions the eigen function is standard and it doesn't have…

Q: For the following closed loop control system, the characteristic polynomial is: s5+ 5s4 + 10s3 +…

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Q: A system is described by the following differential equation: [Section 2.3] d²x dx di² -+2+3x = 1 dt…

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Q: Find the state space matrices of the next system and then using matrix A, B, C and D to find the…

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Q: Derive the state-space model (state equation and output equation) in vector form for the following…

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Q: Routh-Hurwitz criterion determines:

A: Correct answer is D

Q: Find the equivalent closed loop transfer function for the system R(s) E(s) Y(s) 3 s+2 K 10 s+10…

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Q: 1. For the following mechanical translational system a. Write two differential equations of Order in…

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Q: Derive the state-space representation of the following system where the input

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Q: The close loop system block diagram is given below .Find the transfer function of the given system.…

A: It is required to find transfer function

Q: Q3) Represent the rotational mechanical system shown below in state space representation (matrix…

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Q: The transfer function of a system is the ratio between and Laplace transform. in

A: Option C is the correct answer.

Q: Problem 1.c. Consider the following mechanical system: m b d'y(t) dy(1) +b di? dt + ky(1) = f(1) m…

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Q: Assume F(t) is a step force input and the displacement is x(t) obtain the transfer function for the…

A: Given details:F(t)=5Nm=0.2kgc=0.3N-smk1=5NmK2=4Nm

Q: For the system shown in the figure; the input is the torque T and the outputs are the displacements…

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Q: ssume that we disturb an undamped system from equilibrium. Sketch and explain a system's time…

A: Explaining a system's time response when we disturb an undamped system from equilibrium.

Q: Find the transfer function,G(s)=Z1(s)/H(s) Find the state space model.

A: Transfer function is defined as the Laplace ratio of output to input with zero initial conditions.…

Q: Problem 4: Repesent the translational mechanical system shown in state space, where u is the input…

A: Form given above free bodya digram applied the Newtons second law toobtain eqn of…

Q: A position system is modeled by an ODE: d'x(t) dt dx(t) + 13x(t) = u(t) Compute the Laplace…

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Q: 6. Consider the following system and its differential equations www m₂ mi www k₁ üt b m₁* + bx + (k₁…

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Q: For the given close-loop system transfer function, determine its stability using Routh-Hurwitz Test…

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Q: Develop a state space model for the transfer function s2 + 5s + 4 G1(s) = s2 +7s + 12 What is the…

A: Given, Transfer Function, G(s) = s2+5s+4s2+7s+12 For State Space Model, G(s) = s2+b1s+b2s2+a1s+a2 +…

Q: Sketch the level response for a bathtub with cross-sectional area of 8 ft 2 as a function of time…

A: Given: A =8 ft2  initial level of 0.5 ft with the drain open Q=2 ft3/min (a)The drain is suddenly…

Q: A system has the following characteristic equation: s+ s+ 3s+ 2s + 2 = 0 Using the Routh-Hurwitz…

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Q: A system is described by the following transfer function: Y(S) 9. U(S) 2s2 + 8s + 6 (a) The input…

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Q: Summarize five key steps involved in defining a system using state-space approach.

A: The steps involved in defining the state-space approach are - First step is to find the system…

Q: Q2) For the following block diagram: a) Determine the state equation and output u equation. b) Check…

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Q: a) Derive the mathematical model for the system shown below. b) Find a state variable model (matrix…

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Q: Consider the translational mechanical system as shown in Figure Q3 with two force inputs, F,(t) and…

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Q: Given a state space model [1 0 1 + 0 u -1 [1 1 0] |#2 - input u and output y. Derive the transfer…

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Q: The close loop system block diagram is given below .Find the transfer function of the given system.

A: From the given block diagram we need write the relationship between blocks to find the transfer…

Q: A linear, time-invariant system is marginally stable if the natural response: ocillates as time…

A: A linear,  time-invariant system is marginally stable if it returns back to its original potision...…

Q: Problem 2. A linearized state space model of a three blade speed wind turbine with a 15 m radius…

A: Given: To find: Maximum number of poles

Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.