Consider a system described by the following dynamic equation:5x + 17* + 20x + 8x = 4f(t) -0.9g(t)Submit to Connect: What form is this dynamic model in?a. Draw the block diagram for this system if x(t) is the output and f(t) is the input to the system.b. Write out each of the Transfer Functions for this system, and describe the expected characteristic behavior of the system and the differences between the response x(t) tof(t) and g(t).c. Define the state equations for this system. Also define the A, and B matrices for the system.

The State Equation shows the connection between the framework's present status and its feedback, and…

Answered: Define the state equations for this…

Engineering

Mechanical Engineering

Define the state equations for this system. Also define the A, and B matrices for the system.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

a) Suspension system of a car. Finding the transfer function F₁(s) = Y(s)/R(t) and F₂ (s) = Q(s)/R(t), consider the initial conditions equal to zero. car chassis www K₂ M₂ 1 Tire M₁ K₁ B₁ y(t)= output q(t) r(t)= input Where [r, q, y] are positions, [k1, k2] are spring constants. [B₁] coefficient of viscous friction, [M₁, M₂] masses. b) Find the answer in time q(t) of the previous system. With the following Ns values: M₁ = 1 kg, M₂ = 0 kg, k₁ = 4 N/m, k₂ = 0 N/m, B₁. = 1 Ns/m, considered m a unit step input, that is, U(s) = 1/s
A mechanical system is described by the following transfer function -4s H(s) = sª-2s² + s-17 If u is the input, and y the output, Cast this system into the state variable format. (Do not find the solution for the system) Y
Required information Use the following transfer functions to find the steady-state response yss() to the given input function f(t). NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. T(-) Y(s) F(s) s(e) 10 b. = 9 sin 2t s²(s+1) ' The steady-state response for the given function is yss() = | sin(2t + 2.0344).
Consider the following Initial Value Problem (IVP) dy /at = -t * sin (y); y(t = 0) =1 Solve for y(t=0.5) using a) Forward Euler method with At = 0.25. (Solve by hand) Develop a Matlab script that solves for y (t = 5) using Forward Euler method. Use the time step levels given below and plot t vs y in the same plot. Include the plot with the right format (axis labels, legends, ...) in your solution sheet and include your Matlab script in the solution as well. i) At = 0.25 ii) At = 0.125 b) Backward Euler method with At = 0.25 (Solve by hand)
R$ RL V (t) V(t) L Figure 7: A tuning circuit for radio 5. Figure 7 shows a tuning circuit used in radio. Derive the state equation using the linear graph approach. Also let the output variable be the voltage vo(t). Derive the output equation.
1. Find the transfer function. A = [² = ₁], B = [1] . C = [0_1], D = F2] SEST-AT Y(s) U(s) = C[sl-A] B+D X = AY + Bui V = Cx + Du
Answer all questions below showing revelent calculations and working with explanation where necessary. 1.Create a mathematical model for the system shown. 2.Develop a transfer function for 0(s)/Qi(s), state the constants that you have used in your transfer function. [Hint: You would also need to derive Q(s)/Qi(s) to predict a theoretical value for the increase in rotational speed ] [Note: Omega, Q=Angular speed] 3. With the use of theoretical values, determine the theoretical increase in rotational speed expected for the water wheel when the inflow is increased by a step. This should be repeated for three different step input values. Show calculations and working throughout.
For the mechanical translation system below, find the transfer function 0,/T and O2/T. Use the following values. K = 1+c D1 = 1 Jj = 4+a J2 = 3+b D2 = 5 where a = 3rd digit of your student number %3D = 7 = 5 b = 5th digit of your student number c = 7th digit of your student number For reference, the 1st digit of your student number is the leftmost number in your student number. Indicate your student number when solving problems. T(t) 0(t) 02(1), elel J2 D1 K D2 ON II ||||
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.
11. Consider a system that can be modeled as shown. The input x in (t) is a prescribed motion at the right end of spring k 2. Find X(s) the system transfer function Xeq(s)* m k₂ ww Xin The values of the parameters are m= 30 kg, k ₁=700 N/m, k 2= 1300 N/m, and b=200 N- s/m. Write a MATLAB script file that: (a) calculates the natural frequency, damping ratio, and damped natural frequency for the system; and (b) uses the impulse command to find and plot the response of the system to a unit impulse input.
For the mechanical translation system below, find the transfer function 01/T and 02/T. Use the following values. K = 3+c D1 = 1 J1 = 2+a J2 = 4+b D2 = 5 %3D where a = 3rd digit of your student number a =O b = 5th digit of your student number b = 7 c = 7th digit of your student number c = 5 For reference, the 1st digit of your student number is the leftmost number in your student number. Indicate your student number when solving problems. For reference, the 1st digit of your student number is the leftmost number in your student number. Indicate your student number when solving problems. T(t) 0,(1) 02(1), D1 K D2
You are given a linear resonant actuator used for haptic vibration cues in phones - a device that might produce the vibration that happens when you get a notification. A basic model is shown on the left. For this problem, you'll need to derive the EOMS for the system (it will be a second order system) and then put it into a number of different system representation forms. Your tasks: karm Carm • I1 = Act • X2 = *1 • I3 = IP Actuator electromagnetic force Fact • I4 = 3 • U = FAct mp Fact kact Cact Xp mact Xact CHALOS CURRENT CONDUCTING PRECISION MICRODRIVES PRECISION HAPTIC™ NOVING MASS No 8 NEOUTMUN FLOCCUT BAGNET 0:0 AND VOICECORIS Z-AXIS LINEAR RESONANT ACTUATOR Credit Precision Microdrives. Ltd. FLYING LEADS FLEX CIRCENT NEOUT MALAET SELFDESVE CASA VERATING BASS ASSEMBLY A. Using Newton's Laws of Motion, derive equations of motion for the system using the variable names given in the figure on the left…