Consider the following plant: G(s) O a. K = [68 48 24] O b. K [10 20 52] O c. All of the given options O d. K = = Suppose the close loop zero was cancelled and a state feedback controller was used to produce the following transient characteristics, that is, a yield of 16.3% overshoot and settling time of 4 s. From the information given which of the following are the correct K values? [52 20 10] s + 15 (s+1)(s+2)(s+4)
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- A fixed beam is subjected to a uniformly-distributed load with an intensity of f = 10 N/mm length of L = 200 mm. Now determine the support reaction forces, internal shear forces and moments, then plot its internal shear force and moment diagram. f[N/m] L 1. Define the paramters, use L and f as the variables y XSuppose we have an 80-lb lead-acid battery. 10% of the weight of the battery is active material on the plates, i.e., we have a total of 8 lb of active Pb and PbO, on the plates that can be used to make electric power. Use the Gibbs free energy method to estimate the total stored energy in the battery. Assume that the open circuit voltage for a lead-acid cell is 2.1 V. [The answer should be a little less than 1 kilowatt-hour of energy.]Solve the heat flow equation K (aT/ 21 - 0532: at) = (a2T/ax2), where K is PROBLEM %3D the thermal diffusivity of the homogeneous medium. Apply the algorithm to the case of a copper bar of thermal diffusivity of 1.14 cm2/sec with 1 end maintained at 100°C while the other end is held at 0°C. Let the bar be 8 cm long
- The displacement of an oscillating spring can be described by x = A cos(wt) where x = displacement at time t, A = maximum displacement, w = angular frequency, which depends on the spring constant and the mass attached to the spring, and t = time. Find the displacement, x, with maximum displacement A of 4 cm, for times from 0 to 120 seconds with increments of 30 seconds, and angular frequencies from 0.4 to 0.6 radians/sec, with increments of 0.1 radians/sec. The displacement for all combinations of times and angular frequencies needs to be calculated. Use meshgrid. Display your results in a matrix with angular frequencies along the top row and times along the left column like so (you may put zero, 0, or NaN, in the upper left corner:A discharge factor is a ratio which compares the mass flow rate at the end of a channel or nozzle to an ideal channel or nozzle. The discharge factor for flow through an open channel of parabolic cross-section is: K = 1.2 [V16x +1+ In(V16x² +1+4x)]³ 4x where x is the ratio of the maximum water depth to breadth of the channel at the top of the water. Determine the discharge factors for x in the range 0.45 to 0.90 in steps of 0.05. Script e C Reset I MATLAB Docume 1 %Give values for x: 2 3 %Solve for K: 4USE MATLAB TO SOLVE THE PROBLEM A resistor of resistance R is supplied by a battery which consists of voltage source E in series with an internal resistance r. Plot the power P as a function of the resistance R for 1 NThe following system of equations is designed to determine concentrations (the c.s in g/m3), c1, c2, and c3, in a series of coupled reactors as a function of the amount of mass input to each reactor (the right-hand sides in g/day): 15c1 − 3c2 − c3 = 3800 −3c1 + 18c2 − 6c3 = 1200 −4c1 − c2 + 12c3 = 2350 57 Determine the value of the concentrations using the Gauss-Seidel method and using 0 as initial values until the absolute relative error reaches less than 1% or it reaches the 10th iteration which comes first.Electromagnetic Pulse propagating at oblique angle to a dielectric interface Consider a gaussian wave pulse propagating along the z-axis from region 1 with refractive index n1 and onto a dielectric interface y = m z (for all x). To the left of this dielectric interface, the refractive index is n2. Devise an initial value computer algorithm to determine the time evolution of the reflected and transmitted electromagnetic fields for this pulse. e.g., n1 = 1 , n2 = 2 initial profile (t = 0, with z0 < 0) Ex = E0 exp[-a (z-z0)^2] By = n1 * Ex Choose parameters so that the pulse width is at least a fact of 8 less than the z- domain of integration ( -L < z < L). For the slope of the interface, one could choose m = 1.Using C language. In the mechanics of deformable bodies, the following relationships can be used to analyze uniform beams subject to distributed loads: dy dx 0 (x) M(x) de dx EI dM dx dV dx = = V(x) = w(x) Where: x = distance along the beam y = deflection 0 = slope E = modulus of elasticity of the beam I = moment of inertia of the cross-section of the beam M(x) = bending moment at x V = shear force at x w(x) = distributed load at x You measure the following deflections at seven points along the length of a uniform beam: 1.125 1.5 1.875 x [m] 0.375 0.75 -0.2571 -0.9484 -1.9689 -3.2262 -4.6414 y [cm] Employ 4th-order approximation for derivatives to compute the bending moment (in kNm), the shear force (in kN), and the distributed load (in kN/m) at the middle or fourth point. Use the following parameter values in your computation: E = 200 GPa, and I = 200 GPa, and I = 0.0003 m4. NOTES: 1. Ask the user for the modulus of elasticity. 2. Ask the user for the moment of inertia. 2.25 2.625…Q2: The following Boolean function Y=f(A.B.C,D,E) = Em (0,1,4,5,16,17,21,23,25,29)+d(7,27,31) Design the function with minimal logic gates and simplify the functions Using Karnaugh Map Method.The flanged steel cantilever beam with riveted bracket is subjected to the couple and two forces shown, and their effect on the design of the attachment at A must be determined. Replace the two forces and couple by an equivalent couple M and resultant R at A. The couple is positive if counterclockwise, negative if clockwise. 1.92 KN 0.67 m 1.71 m- 68° A 6 Answers: M = i kN.m R=( i i+ i y I L 460 N.m 10.17 m 10.17 m 1.08 KN j) kNAnalysis 2: The voltage potential, v(t), builds up on the loops, based on the orientation of the magnetic field during an MR scan is given by: v(t) = 0.250t4 + 0.166t3 – 0.500 and the voltage at time t= 0 is 0.SEE MORE QUESTIONS