C(s) R(s) ± G1 G2 G3 H1 H2

Q: What is the particular solution to the differential equation with the initial || dx condition y(e²)…

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Q: Find the transfer function G(s) = X1(s)/F(s) for the translational mechanical system:

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Q: х2() B K2 M2 F() MI K1 xl(t)

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Q: e.g. 16 Find the steady state solution for the system shown in the figure. 2k В m k X F, sin ot

A: Given that

Q: The translational mechanical system shown in Figure Ql is at rest for 1< 0. The force uft) is the…

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Q: Determine the normalized dynamic matrix for the system as shown in Figure 4. The values of K,=200…

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Q: Consider the system shown in Figure below. Simplify this diagram and produce the final transfer…

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Q: Find the transfer function C(s)/R(s) for t reduction:

A: To find the transfer function.

Q: Q4. Derive the governing differential equations for the system shown below. T(t) 0,(1) 04(1) 26…

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Q: A two-mass system is shown in Figure P2.37 with an input force u(t). When m1 = m2 = 1 and K1= K2 =…

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Q: The figure below shows a simple pendulum system in which a cord is wrapped around a fixed cylinder.…

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Q: Find the transfer function, G(s) = X3(s)/F(s), for each of the system shown in the figure below. а.…

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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: Q4: Obtain the transfer function X(s)/F(s) for the mechanical system shown in figure (4) Where f is…

A: Data given-  A mechanical system having mass M1 &amp; M2   With a spring and a damper

Q: k1 k2 Floor 1p=Posinwt Given floor displacement p= Po sin wt: (a) Find the transfer function…

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Q: 4. The transfer function from d(s) to y(s): d(s) R(s) E(s) 2 Y(s) 3s + 1 a) 3s+7 b); 3s+1 6 c): 3s+7…

A: In forward path, Gs=23s+1   In Loop, GsHs=23s+13=63s+1

Q: H2 k b. (s) G G2 + Y(s) m H y Figure 3 Figure 4 F(s) The transfer function bs+k 4. represents the…

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

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Q: 2. A coupled mass-spring system is shown below. The masses are m, = 25 kg and m = 45 kg. The spring…

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Q: chosen. In this basis the Hamiltonian is represented by the matrix H = [2 1 0 1 2 0 0 0 3] What are…

A: H=210120003I=100010001H-λI=02-λ1012-λ0003-λ=0-λ3+7λ2-15λ+9=0λ=3,3,1 Thus the possible result when…

Q: 3. The response of a system under arbitrary force can be determined by adding the responses…

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Q: Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis…

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Q: 2k wwww 2m (+)す4 a) Determine DOF b) Ob tain eq vations of motion c) Obtain the state-space nodel of…

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Q: Q. For the Shown mechani l system, Find the reledion between F and X. Yand X,Then draw the block…

A: Here the Free Body Diagram at m1

Q: 1. The transfer Function of the mechanical system shown below is k force. ww

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Q: In a coupled system, the variables y1(t), y2(t) satisfy the ordinary differential equations dyr + y2…

A: The Laplace transform is a useful integral transform for solving physical issues, arguably second…

Q: (b) Consider the system shown in the Figure below, calculate the transfer function G(s) = 0,(s) %3D…

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Q: Q2: Obtain the transfer function X(s)/F(s) for the system shown in figure (2) where M1=M2=1Kg and…

A: Given, M1=M2=1 kgB=1 N/m/s

Q: 4.A system has the characteristic equation D(s) = s³ + 2s² + (k+1)s+ 6 = 0 2. Find the range of K…

A: So, we have characteristic equation , s3+2s2+k+1s+6=0 comparing the equation with the standard…

Q: G3 R(s) C(s) G2

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Q: The system is given in the following figure. Determine the mathematical model, linearizes the…

A: Solution: Given Data:

Q: R(s) simplify the block digram shown in figure below. Obtain the transfer function relating C(s) and…

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Q: The power series representation of the function centered at the origin is shown below. Find c - b-a.…

A: The power series respresentation is given by the function, 5-x2x2+x-1=∑n=0∞xna(bn)-b(cn) To find,…

Q: X3(s) Determine transfer function F(s) for the system in Figure Q4. Where, M1 = M2 = M3 = Q4 1 kg,…

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Q: 28. Find the transfer function, G(s) = X1(s)/ F(s), for the translational mechanical system shown in…

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Q: Take the K1=1 N/m, K2=2 N/m, fv=1 N-s/m, M1=M2=2 kg, and find the transfer function of figure 2.1.

A: Solution: Given Data: k1=1 N/mk2=2 N/mfv=1 N-s/mM1=M2=2 kg

Q: k k F '2 Two masses, m¡ and m2 are attached in series by two springs. A force, F is applied to the…

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Q: X(s) from the following block diagram. F(s) Obtain the transfer function F(s) + X(s) S 5 9 A) s – 6…

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Q: А, C, and D matrices for each of the mechanical systems in Fig. P 2.8. The input is f (t) and the…

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Q: Q4/ For the figure below the spring is used to stop a 10 kg package. If the maximum deflection in…

A: A Spring system is a system in which the mass in the system is concentrated on the spring. The…

Q: For the two-dimensional case shown in Figure P6.15, where y = 1.4, determine M3 and p3- 5° P₁ = 10…

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Q: G2 G2 Ha H Fig. O5-2

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Q: s, obtain the transfer function Qo(s)/QRs). Tank 2 Tank 3 Tank 1 A, + h, A, + hg R 91 Q + 92

A: The transfer function are given as follows

Q: fv, *2(1) K1 K2 M2 fv (a) F(s) G(s) (b) Figure 1 Given in Figure 1 (a) Two-degree-of freedom…

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Q: Determine the equivalent spring constant of the system where the spring will be located in the…

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Q: 1. Find the transfer function, c(s) - x,(4)/F(), for each of the system shown In the figure below.…

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Q: EXAMPLE -[- Consider the following transfer function: B(s) A(s) 2 + 55 + 3s + 6 + 65 + 11s +6

A: Given: Transfer function: →Hs=BsAs=2s3+5s2+3s+6s3+6s2+11s+6 And because the transfer function is the…

Q: 4) Consider the following mass spring damper system: m2 u(t) Assuming that y, > y1, equation of…

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Q: In the mass-spring system, m is the mass, k is the spring constant, and b (not shown) is the…

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State Variable Model

The state variable is expressed as the set of variables that indicates the mathematical "state" of any specific dynamical system. Also, in the absence of outside force influencing the system, the state can be utilized for evaluating the future characteristics of a certain state.