Find the response X1(t) , X2(t)

Q: The response of a system under arbitrary force can be determined by summing the responses resulting…

A: By applying the Convolution Theorem, the response of a system under arbitrary force can be…

Q: Determine system stability and system type if its transfer function is * G(s) 5² (s+1)(s+4)

A: The transfer function of a system is a mathematical representation of the relationship between the…

Q: 8.18 Find the response for the following models. The initial conditions are zero. a. 3x + 21x + 30x…

A: Write the given expression. 3x¨+21x˙+30x=4t Consider the left-side part and calculate the…

Q: Given the following translational mechanical system, find the transfer function G(s): -x, (t)…

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Q: For the schematic given at the figure is known that the transfer function is H(s) : Ts = (+1) and…

A: Given: Hs=TsTKs+1

Q: P 5.3: For the pole map shown: (a) comment on the stability of the various first-order systems, A,…

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Q: 3. Given the mechanical system. a. Draw the equivalent mechanical network b. Determine the…

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Q: 4.44 Consider the 2-degree-of-freedom system defined by: [2]+[233] x=0 3¾ X= Use modal analysis to…

A: The equation of 2 degree of freedom is defined by The initial condition are

Q: (s) (s + 15)(s² +4s + 100) a. 0 (s + 4)(s² + 2s + 90) b. G(s) =

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Q: Determine the sensitivity of the overall transfer function for the system shown in figure below with…

A: Step 1:Step 2::

Q: 5. What is the natural response c(t) of the following ransfer functions if the input R(s) = 1/s. 625…

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Q: A uniform plank of length 2.00 m and mass 35.0 kg is supported by three ropes, as indicated by the…

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Q: ). Given the initial condition, X(0) = 2 Find th 1. the complementary or transient solution 2. The…

A: MX..+CX.+KX=KYY=10 inM=0K=5 lb/inC=0.1 lb-s/inX(0)=2   To Find: (a) The complimentary or transient…

Q: G3 R(s) Cs) G2 H2

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Q: 5- A system and its response are given in following Figures, determine the values of M, B and K.…

A: Given: The peak overshoot time is tp=2 sec. The function is yt=8.9. Concept used; The equation of…

Q: Exercise: 1 X₁ G₁ H₂ G₁ G₂ X₂ GA Q: Find the transfer function of this system H₂ 1 X₂ Y

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Q: Q2//A/ Find the unit step response for a system whose transfer function is: G(S) = 10 (S + 2) (S +…

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Q: The displacement of a mass-spring-damper system subject to an initial displacement is shown by A, B,…

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Q: Obtain the differential equation of the system with its representation in Laplace transform f(t) ky…

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Q: Q4) Consider a mechanical system that satisfies the following differential equation:…

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Q: Obtain Unit-Step Response of First-Order Systems: C (t). R(S) C(s)

A: From Block diagram: G(s)=1/sH(s)=1 The unit step input is given as: R(s)=1/s

Q: H4 R(s) C(s) G2 G3 G4 Hz

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Q: Refer to Sample Problem 2/1 P:29, it is required to find the resultant R of the three forces F1, F2,…

A: F1=600 N ,θ1=35° with horizontalF2=500 N,tanθ2=34θ2=36.86°F3=800 N and tanθ3=.4.2=2θ3=63.43°

Q: Q4: Using Mesh analysis, find the currents loop in the circuit shown below: 7.5 k2 R4 R39.1 kn E," 3…

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Q: 1. Find the transfer functions of the following system.

A: Dear Student as per guidelines i am allowed to solve first question only (  in case of multiple…

Q: set up the integrals but do not solve them. Assume that the system is damped and you know ζ (only do…

A: (a) Draw the given diagram.

Q: Obtain the state matrices for the system considering as output: C). Velocity m3 with respect to m2.

A: Obtain the state matrices for the system considering as output:Find velocity m3 with respect to m2.

Q: Find (s) C(s) R(s) (i.e. reduce the blocks in order to find the given transfer function) G6 R(s)…

A: For all potential input values, a transfer function represents the connection between a control…

Q: 6. Compute the response of 0 12 -2 * (t) + x (t) = 0 10 -2 12 where the initial conditions are x (0)…

A: Step 1: To solve this second-order constant coefficients linear ordinary differential equation…

Q: Find the expression for the response x(t) of the system shown in the figure, when subjected to an…

A: It is asked to find the response of the system shown below

Q: Q 1/3 Using the simplex method, find the optimal solution for the following objective function: Маx…

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Q: P2. At first-order system and its response to a step input are shown in fig. P2; what are the system…

A: Solution: Given Data:   To Find: (a) Value of K? (b) Value of α?

Q: Q2: a): In the system shown in figure below. Find the steady state error if the input r(t) = 1+ 2t…

A: Inputand In the system, given  below

Q: The shape function value O is always higher than 1. is always less than 1. O is zero at the centre…

A: The shape function is the function that predicts or  interpolates the solution of a problem between…

Q: Find the transfer function, C(s)/R(s), for the signal-flow graph in Figure (2). G,(s) Gols) Gals)…

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Q: Y(s) Consider the plant P(s) = U(s) 1 with input u(t) and output y(t). s² + 2s + 10 Use Laplace…

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Q: - where p' = Ap. %3D

A: Answer- Option a)

Q: Use the convolution integral method to derive expressions for the response of an undamped system…

A: For figure the force function will be so the Duhamel Integral expression can be written as

Q: 4.78. Demonstrate that the system modes are orthogonal with respect to the [M] and [K] matrices for…

A: For solution refer below images.

Q: Beam deflection is to the length to a beam. OA. flexure

A: Explanation As we know that the deflection of any beam always follow the equation of elastic curve…

Q: Determine the steady state response of a single degree of freedom system subjected to a harmonic…

A: In a single degree of freedom, there is a harmonic forcing on the mass m.  Considering a mass m…

Q: 6 Problem Compute the inverse Laplace transform f(t) = L-¹[F(s)] of the following function: F(s) =…

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