The given problem is related to vibratory system consisting of spring-damper subjected to Force function f(t).
The response function corresponding to the 2 cases of force functions given are to be determined.
3.25 Determine the response function due to the input function for one of the systems shown in pa...
please answer all parts. 4.30 In the SMD system shown in Fig. P4.30, vx(t) is the input velocity of the platform and vy(t) is the output velocity of the 100 kg mass. v(t) 100 kg Ns 100 100 S 100 kg 100 N Sv() 100 Figure P4.30: SMD system of Problem 4.30. APPLICATIONS OF THE LAPLACE TRANSFORM PTER 4 (a) Draw the equivalent s-domain circuit. (c) Determine the frequency response. Hint: Use two node equations. 4.30 In the SMD system...
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
14. An LTI system has the following transfer function, determine the output system response y(t) due to the input x(t) e u(t) H(s) s+2 S+7s+12 Answer: y(t)
(c) If the impulse response function of a linear time invariant (LTI) system is h0)-Se u(), compute the output of this system due to an input ) which is a 4 second pulse of height 3, as shown in Fig.1 below. x(t) t(sec) 0 Fig.1 Input signal 10 marks/
please answer all parts. 4.30 In the SMD system shown in Fig. P4.30, vx(t) is the input velocity of the platform and vy(t) is the output velocity of the 100 kg mass. v(t) 100 kg Ns 100 100 S 100 kg 100 N Sv() 100 Figure P4.30: SMD system of Problem 4.30. APPLICATIONS OF THE LAPLACE TRANSFORM PTER 4 (a) Draw the equivalent s-domain circuit. (c) Determine the frequency response. Hint: Use two node equations.
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
Determine the system function, impulse response, and zero-state response of the system shown in the below Figure x(n) y(n) 7-1
Problem # 1 [30 Points] Superposition-The Backbone of Linear Systems: For an engineer who wishes to find the response u to a linear system from an input f, a common approach is (a) Break finto elementary parts, f-L (b) Find the system response u to fk (c) Add (superimpose) the simple responses uto get u-k It turns out if the system is linear, then the sum u is the response we get if the function f were inputed directly; this...
PROBLEM 7.3*: The diagram in Fig. 2 depicts a cascade connection of two linear time-invariant (LTI) systems; i.e., the output of the first system is the input to the second system, and the overall output is the output of the second system. [n] yi[n] y[n] LTI System #1 hin] LTI System #2 h2[1] Figure 2: Cascade connection of two LTI systems. (a) Suppose that System #1 is a "blurring" filter described by the following equation y1 [n] =arn-k] k=0 and...
2. Consider the system shown. x(t) frictionless wheels Write the EOM for the system. Note that x(t) is the output and F(t) is the input. Parameters values are: m 100 kg., F 100 N., k 900 N/m., b 300 N-sec/m. What is the system transfer function, T(s) , where T(s) = Produce a Bode plot for the system using Excel. what are ζ and ch for the system? a. b. x(s) F(s) ? c. d, 2. Consider the system shown....