a child when you took me.
Thanos : I saved you.
Gamora : No. We were happy on my home planet.
Thanos : You were going to bed hungry, scrounging for scraps. Your planet was on the brink of collapse. I'm the one who stopped that. You know what's happened since then? The children born have known nothing but full bellies and clear skies. It's a paradise.
Gamora : Because you murdered half the planet.
Thanos : A small price to pay for salvation.
Gamora : You're insane.
Thanos : Little one, it's a simple calculus. This universe is finite, its resources, finite. If life is left unchecked, life will cease to exist. It needs correcting.
Gamora : You don't know that!
Thanos : I'm the only one who knows that. At least, I'm the only one with the will to act on it.
Thanos : [to Thor] You should have gone for the head.
Loki : If you're going to Earth, you might want a guide. I do have a bit of experience in that arena.
Thanos : Well, if you consider failure experience.
Loki : I consider *experience* experience.
Thanos : I know what it's like to lose. To feel so
5-29. Determine the response of an undamped system to the forcing condition shown, as follows: (a) for the interval 0 <at < 2, and (b) for the interval 2π < at < 4π. (c) Plot the resp...
Consider the forced but undamped system described by the initial value problem 3cosuwt, (0) 0, (0 2 (a) Determine the natural frequency of the unforced system (b) Find the solution (t) forw1 (c) Plot the solution x(t) versus t for w = 0.7, 0.8, and 0.9. (Feel free to use technology. MatLab, Mathematica, etc.) Describe how the response (t) changes as w varies in this interval. What happens as w takes values closer and closer to 1? Briefly explain why...
2) Use the Duhamel integral method to derive the expressions for the response of the undamped system subjected to the forcing functions shown in fig A. Set up the expression for x[t) in fig. B Ft 0.sto MA 2+ 0.5 € Fig A
3.25 Determine the response function due to the input function for one of the systems shown in parts of (a)of Fig. 3.22. Eaclh system is quiescent at t- 0. Use an input function f(t) and part 6) K 100 N -| C 4 kg/s y(t) F(t) f(t) f(t) (3) 10 2π ft) (5) 사 4π
3.25 Determine the response function due to the input function for one of the systems shown in parts of (a)of Fig. 3.22. Eaclh system is...
Question Four (a) Determine the response x() for the undamped system subjected to the force F as shown below and given by: ts 0.1s F(t) =-600t +120 0.1 <t s 0.2 s t> 0.2s 600t 0 The mass is initially at rest with x 0 at time 1 0. (b) Find the displacement of the mass at 1 0.25 s. k 75 N/m 0.75 kg F), N 1, S 0.2 0.1
Question Four (a) Determine the response x() for the...
Problem 1 The complex exponential Fourier Series of a signal over an interval 0 < t S T,-2π/wo is known to be (d) Suppose x(t) is the input to a stable, continuous-time, single-input/single-output LTI system whose impulse response is given by 9sine (wot/4 2 cos (u) Determine the output y(t) for -oo<t<oo. Answer: y(t)-4m 2r(1 +9π (2r(1+9r2) tan 1(3m) cos 9T
Problem 1 The complex exponential Fourier Series of a signal over an interval 0
.matlab
Objective: This activity has the purpose of helping students to to use either Simulink or VisSim to simulate the system behavior based on its Block Diagram representation and plot its response. Student Instructions: The following spring-mass-damper system has no external forcing, that is u(0)-0. At time t- 0 it has an initial condition for the spring, which it is distended by one unit: y(0)-1. The system will respond to this initial condition (zero-input-response) until it reaches equilibrium. 0)1initial condition...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
04. (25 pts)(Fourier Analysis) A periodically driven oscillator and the forcing function is shown tbelow. F(t) The governing equation of the system shown above can be written as mx" + cx' +kx = F(t) where m, c and k are some constants. Considering a forcing function defined as a pulse below for 0 T/2 t 2 for π /2 < t <3m/2 , or 3π which is periodic with a period of 2π in the interval of OSK o Find...
Objective: This activity has the purpose of helping students to to use either Simulink or VisSim to simulate the system behavior based on its Block Diagram representation and plot its response Student Instructions: The following spring-mass-damper system has no external forcing, that is Lu(0) 0. At time t"0 it has an initial condition for the spring, which it is distended by one unit; yO) 1. The system will respond to this initial condition (zero-input-response) until it reaches equilibriunm. | yin«...