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- root locus electrical engineering Don't overthink and reject. Complete the solution as per the given transfer function. No need of quadratic equation just simplify for the exact given transfer function.Sketch the level response for a bathtub with cross-sectional area of 8 ft 2 as a function of time for the following sequence of events; assume an initial level of 0.5 ft with the drain open. The inflow and outflow are initially equal to2ft3/min.(a)The drain is suddenly closed, and the inflow remains con-stant for 3 min (0≤t≤3).(b)The drain is opened for 15 min; assume a time constant in a linear transfer function of 3 min, so a steady state is essentially reached (3≤t≤18) (c)The inflow rate is doubled for 6 min (18≤t≤24).(d)The inflow rate is returned to its original value for 16 min(24≤t≤40).Response using Laplace transformation.
- Can you solve this without the transformation matrix and if thtas not possible explain what they do. Also can you explain why you need to change from the J2000 state to geocentric equatorial frame. also would this code work to solve the problem?: % Step 1: Define the initial state vector at burnout r0 = [5210.345121, -549.481941, 4300.883291]; % Position vector [km] v0 = [-1.451280 7.391098 2.690198]; % Velocity vector [km/s] % Step 2: Calculate the initial velocity magnitude and specific angular momentum v0_mag = norm(v0); % Initial velocity magnitude [km/s] h0 = cross(r0, v0); % Specific angular momentum vector [km^2/s] h0_mag =…sole using laplace transforms Do not answer in image formatFor the given close-loop system transfer function, determine its stability using Routh-Hurwitz Test for Stability.1. What is the stability of the system? (Stable, Unstable, Marginally Stable)
- laplace transformCan you also please do the simulate the step response in MATLAB for the design and report archieved PO and settling time? Thank you.Derive the governing differential equation for each system with the chosen generalized coordinate. SEE THE IMAGE BELOW Answers: 1. GDE: (5/2) mẍ + (5/4) kx = 0 2. GDE: (7/48) mL² ϴ [note: theta symbol has two dots above) + (3/8) cL² ϴ [ note: theta symbol has one dot above] + 5 kL² ϴ = 0
- A system has the following characteristic equation: s+ s+ 3s+ 2s + 2 = 0 Using the Routh-Hurwitz method, checka. How many roots are to the right of the imaginary axis?b. Is the system stable?.Figure 1 shows an electrical system comprising a series RLC circuit and input voltagesource ein(t).(a) Derive the input-output equation with output y = I and input u = ein(t). (b) Using the derived input-output equation, drive the system transfer function G(s)that relates output to input. Use the following numerical values for the electrical systemparameters: resistance R = 2Ω, inductance L = 0.25H, and capacitance C = 0.4F. (c) Using the derived transfer function, derive the time-domain ordinary differentialequation for the input-output equation of this electrical system. (d) Draw the complete block diagram of this series RLC circuit using the derived transferfunction.Can you also please do the simulate the step response in MATLAB for the design and report achieved PO and settling time? Thank you.