The first part is showning the picture of graph and second part is how to make it
Problem 1: Hand sketch the Bode plot for the transfer function G(s) = 5–10 (1) If Y(s) = G($)U(s), where U (s) = L (u(t)), what is lim+ y(t)? Problem 2: Hand sketch the Bode plot for the transfer function GS) = 52+ 10s + 900
3. Using five integrators, sketch the direct simulation of the transfer function Y(s) 6s H(s) X(s) 3+32+9t27 4. Repeat problem #3 using only three integrators
1. Sketch a graph of the following function: f(t)-5(H(t) -2H(t-1)+ H(t-2)) 2. Use the definiton of the Laplace Transform to show that -5s 3. Find the inverse Laplace transform of the following: (a) T(s)-( (b) Y(s)=式 ) (劫 +3s 4. Solve the the following initial value problem: Sketch the function, f(), and the solution vit) on the same graph. 5. Solve the the following initial value problem: y" + 144y = δ(t); y(0) = 0, ช่ (0) =0
Problem 3. Consider an LTIC system S. whose response to the unit-step function u(t) is as follows Slu(t)] Moreover, let the following input signal (t) go through the same LTIC system: r(t) 3 -2 1 Can you sketch/compute the output y(t) of the LTIC system S] to the input r(t) without using the impulse-response function h(t) of the system? Justify your answer!
7. (Problem 7.1) A string is oscillating with the wave function y(x,t) A sin(kx-wt) with A-3 cm, k=0.2π rad/cm, and ω = 10π rad/cm. For both t = 0.05s and 0.07s sketch the string for 0 s xS 10 cm
3e-s 5e-257 Sketch the graph of the function : f(t) = 1+1 { + 6213 IS 52 s2 Solve the IVP, and write the solution as a piecewise function: y' +y = f(t), y(0) = 0, where f(t) = {1 0 <t<1 t > 1 -1,
Answer both problems please. Problem 3: Accurately sketch the following function. Label all axes. 15 Points t - to W - to- 2W t - to - W x(t) =-B tri A rect - A rect W W t - t- 3W B tri /2 Problem 4: Accurately sketch the following function. Label all axes. 15 Points t - W t W 4 2T W x(t) = A rect A rect + B rect cos W W Problem 3: Accurately...
The wave of a plucked, taut-wire is represented by the function, y(x, t) = 3/[(x – 2.0t)2 + 1]. a) Sketch the amplitude of the wave pulse as a function of position for t=0 s, t = 1.0 s, t = 2.0 s. b) The displacement of a wave is given by the expression, y (x, t) = 15cos(1.0x – 100xt). The wavelength is measured to be 2n m. Determine the wavenumber of this wave. c) Sketch the wavefronts of...
Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (10s+1)(4s+ 1)(s +1) (a) Find an approximate transfer function of first-order-plus-time-delay form that describes this process (b) Determine and plot the response y(t) of the approximate model, obtained in part (a), for a unit ramp using Skogestad's "Half Rule"; change in u(t) (U(s) Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (10s+1)(4s+ 1)(s +1) (a) Find an approximate...
Problem 1 Y(s) Given G(s) H(s) 0(s)-1 a) Determine the transfer function T(s) of the system above. b) Determine the mamber of RHP or L.HP poles of the system. Is tdhe system stable? Why or why no? c) H HG) were modified as follows. Determine the system stability as a function of parameter k, i.e, what is the minimal value of k required to keep the system stable? d) Sketch Bode the plot for T(s) including data 'k, derived from...