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

Q: a) Derive a body diagram with spring-mass-damper elements for given system. b) Derive…

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Q: For the system whose block diagram is shown in Fig.1, find the overall transfer function by using…

A: Step 1: Step 2: Step 3: Step 4:

Q: Get the input-output model -Get the Transfer Function -Get representation in State Variables

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Q: Consider the following mechanical system, z and y are displacements and the input force to the…

A: Given: To find: State space model

Q: A simple mechanical system with T(t) input, and @(t) output is given below, a) Find transfer…

A: by making the free body diagram

Q: 3mi+4cx+ 2kx = 4c j+3ky For the system given above, obtain the state-s pace representation.

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Q: I Write the state-space representation for the following systems: 1. fit) Ki M P M₂ yalt) W K₂ B₂

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Q: Consider the following mechanical system, z and y are displacements and the input force to the…

A:

Q: 3. Find the state transition matrix of the system i = Ax, where A = oF a) Using the infinite series…

A: According to the information's for the state transition matrix system  a) we use the infinite series…

Q: Complete the following property table for water Specific Volume Pressure (kPa) Phase Description…

A:

Q: R(s) (+) G1 G2 C(s)

A: To find the transfer function.

Q: P7.3: A harmonic oscillator will keep on moving forever if there is no damping in it but all real…

A: given; equation of motion;my¨(t)+cy˙(t)+ky(t)=0m=massc=damping coefficientk=stifness

Q: Question 3. Consider a mass-spring translational mechanical system in series. The spring has a…

A: Given, fs(t)=3xs2xs=xfs(t)=3x2f(t)=6+δf(t)δf(t)=6Nm=1kgEquation of…

Q: Example For the system shown, the equations of motion are given by m₁*₁ + cx₁ + kx₁ Cx₂ = 0 m₂x₂ +…

A: Given : To find : State space model

Q: #3) a) Show that the below given system has the following representation where u=x. 1 £ - el ml %3D…

A: As per rules solved first question only

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

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Q: For the translational mechanical system with a nonlinear spring shown below, find the transfer…

A: Given:To find:Transfer function.

Q: Find the linearized incremental state-variable model for the system shown in Figure 8. Use the…

A: Solution: Given Data:   To Find: Linearized incremental state variable model.

Q: Determine the kinetic energy of the system at an arbitrary instant in terms of the indicated…

A: To find: The kinetic energy of the system at an arbitrary instant in terms of the indicated…

Q: Get the transfer function for X3 2 N-s/m DAXIA_A_ 6 N/m 100004 kg x₁(t) 2 N-s/m [4 kg - x₂(1) oooo 6…

A: Given,

Q: Write the state-space representation for this system. Tit), Bi ItY 2. Kz Bz

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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: Translational mechanical systems with the image values ​​I need to get free body diagram Get the…

A: To Find : The input and output model get the transfer function, Free Body Diagram :   Here  input…

Q: For the System below Let M = 10kg, k = 4000 fy C= 40, x(0)=0, and x(0) = -1 m/s F(4) = sin(πt) + Sin…

A: m =40 kgk = 4000 N/mC = 40 Ns/m2initial conditions are 0 m and -1 m/sForce, It is asked to find the…

Q: Taking the velocity v and the gravitational spring force F, as the state vari- ables (Note: This is…

A: State-space framework portrayal establishes the groundworks for current control hypothesis. It…

Q: 1) Represent state-space model for the following system. 2) Determine controllability. 3) Obtain…

A: (1)

Q: Please solve this fully for me, I need help on this fast :)

A: b) Matlab code for bode plot:- A = 0.25;b = 10;m = 20;k = 2.4;omega_n = 2*pi*160;zeta = 0.2;num = k…

Q: Q2) Find a set of state-variable equations and develop the input-output differential equation…

A: When pressure at section has to be find out then we go for the Bernoulli’s equation. The Bernoulli’s…

Q: Consider the following mechanical system: →y 3. m -f d²y(t) +b dt? dt dy(t) + ky(t) = f (t) m Obtain…

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Q: Translational mechanical systems Get the input-output model Get the Transfer Function Get…

A:

Q: 6. Find the system equivalents. C(S)/R(s)

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Q: b. A force is applied to the following mechanical system. First assign causal strokes, then derive…

A: Given : To find : State space equations

Q: Obtain a state-space representation of the mechanical system shown below, where u₁ and u₂ are the…

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Q: k₁ www m1 x1 k₂ www m₂ x2

A: Solution: For the given system ; For the mass m1:   m1x¨+(k1+k2)x1-k2x2=0 for the mass m2:…

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

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Q: Consider the mechanical system shown in the figure below. Suppose the system input u is the velocity…

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Q: 1. Reduce the following differential equation to the state space equation form. a. y" (t) + 3y' (t)…

A: Step 1: Step 2: Step 3: Step 4:

Q: The lagrangian, ' L ' is a scalar function equal to Time derivative of potential energy along the…

A: In mechanics, Lagrangian function helps to develop the equation of motion in any set of coordinates.

Q: Consider the following mechanical system: y m +f dy(t) d’y(t) +b dt dt + ky(t) = f (t) m Obtain the…

A: md2y(t)dt2+bdy(t)dt+Ky(t)=f(t)State…

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

A:

Q: The hydraulic system shown below is operating at a steady state when the inlet flow pump pressure…

A: Given: To find: Transfer function

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.