5) Consider the linear system described by the following differential equation: * + 2ax + (a²+4)x= F(t) (Here a > 0 is a constant parameter) (a) Find the transfer function x(s)/F(s) (b) IF F(t) = S(x) FIND X (+) (assuming zero initial conditions) J ^

Q: Find the transfer function X(s)/G(s) of the block diagram below

A:

Q: Consider the mechanical system shown below. The system is at rest for t <0. The input force u is…

A: Given: To find: Governing equations Transfer function Electrical equivalent equations

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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: Find the Laplace transform fraction for the following function and rearrange it such that X(s)/F(s)…

A: The ggiven equation of motion is,x⃛(t)+2ζωx¨(t)+ω2x˙(t)=f(t)all zero initial condition.To…

Q: Q2 Use Matlab to find the poles and zeros of the following transfer function: G (s) = s² -3s+5…

A: MATLAB CODE :% Define the numerator and denominator coefficientsnumerator = [1 -3 5];denominator =…

Q: Consider the transfer function of a 2nd order system given by: G₁(s) = a/(s² + bs + k) where a, b,…

A: Calculate the damping ratio (ζ) and the natural frequency (ωn) of the system using the following…

Q: Draw the signal flow graph of the following block diagram, then find the transfer function using…

A: Given:To find:(a) Draw the signal flow graph.(b) Determine the transfer function.

Q: 2. Find the transfer function, G(s) = X3(s)/F(s), for the given translational mechanical system. 6…

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Q: In the following electrical circuit system, where R is the resistance, L is the Find the transfer…

A: Given:To find:Transfer system of the system.

Q: The transfer function is the ratio of the Laplace transform of the input variable to the Laplace…

A: Introduction The Laplace transform can also be used to solve classification problems in mechanical…

Q: Consider the following transfer functions G₁(s) = 10 (s + 10) (s2 + 0.1s + 2) G₂ (8) = G3(s) = 10(s…

A: Given Data: G1(s)=10(s+1)(s2+0.1s+2)G2(s)=10(s+3)s(s+100)G3(s)=1(s+1)(0.4s+1))   To Find: (a) Bode…

Q: find the transfer function Y(s)/R(s)

A: The transfer function is Y(s)/R(s)=(14s+56)/(s3+10s2+31s+16)Explanation:

Q: Solve the following initial value problem by Laplace transformatio y" +9y =10e, y(0) = 0, y'(0)= 0.

A:

Q: Given the following transfer function of the system: Find r(t) if f(t) = 8(t). T(s) = 18 F 5 (s+1)…

A: The transfer function: T(s)=x~F~=5s+1s+3 ft=δt

Q: QUESTION 6 Let fv1 and fv3) in K1 and K3 locations respectively in the figure. No K1 and K3.…

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Q: A first-order dynamic system is represented by the differential equation. 5x (1) + x(t) = u(t). The…

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Q: K 4. A system described by its transfer function G(s) : = is acted upon by a ramp s²+8s+15 function…

A: The Laplace transform of a ramp function of magnitude A is given by L{At} = A/s². In this case, the…

Q: See Image

A: answer in explanstion section Explanation:Step 1:Step 2: Step 3: Step 4:

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…

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Q: Forcing Function Spring Constant f(t) k Mass m Friction Constant b Mass Displacement y(t) 3.…

A: To derive the equation of motion for the spring-mass-damper system, we can use Newton's second law,…

Q: 1. Find the transfer function() (in the Laplace domain) of the system. II. Use the Routh-Hurwitz…

A: Given Data: K1=K2=3 N-m/radD1=D2=2 N-m-s/radJ1=1 kg-m2   To Find: (a) Find the transfer function.…