Question 4 Xi →ろ sin at it m2, PM Consider the system shown in figure where m is subjected to F Sin(w t). Calculat...
Question 1-4 is about the following mechanical system: Data: ki-20 [N/m] b-2 [Ns/m] k2# 10 [N/m] m2 At) mi Question 1 X1(s) Develop the symbolic transfer function G1(s)2 F(s) 1.1 Determine the differential equation, that this transfer function describe 1.2 Question 2 Sketch the step response for G1(s), using Matlab and explain the process 2.1 Sketch the pole /zero diagram for the transfer function G1(s) and reflect on the relation between the step response and the pole /zero diagram 2.2...
consider the system shown where m=50kg, c=200N.s/m, k1=350N.m,
and k2=550N.m. The free end of the spring k2 is excited by
y(t)=0.4sin3t(m) as shown
4. Consider the system shown where m = 50 kg, c = 200 N.s/m, ki = 350 N.m, and k2 = 550 N.m. The free end of the spring ky is excited by y(t) = 0.4 sin 3t (m) as shown (20 points) a) Determine the equation of motion of the system. b) Determine the natural frequency...
mi k2 b yi m2 Figure 5-45 Mechanical system. Assuming that mi 10 kg, m2 5 kg, b 10 N-s/m, k 40 N/m, and k 20 N/m and that input force u is a constant force of 5 N, obtain the response of the sys- tem. Plot the response curves n(t) versus r and y2(t) versus t with MATLAB Problem B-5-23 Consider the system shown in Figure 5-45. The system is at rest for t < 0. The dis placements...
a C k ww fwyn F(t) (m Calculate the vibration response of the shown system when the force F(1) = 25 S(1), where 8(t) is the Dirac delta function. Consider the data of Problem 4 and zero initial conditions.
Consider the system shown in the figure right, where two blocks m1=5 kg, and m2=10 kg are connected to each other by a string that passes through a massless pulley. The stiffness constant of the spring attached to m1 and the wall is k=120N/m and the coefficient of kinetic friction between m1 and the surface is given to be μk=0.2. If the system is released from rest when the spring is at its equilibrium length and m2 is at a...
Pls
ASAP written clearly!
4 FLt) 4?The system (M-2 kg, and K-800 N/m) shown is subjected to F(0)-45 Sin (20t) N.Determine: the equation of motion.(5 points) a. b. the response of the system.(10 points)
Consider the mechanical system shown in Figure. Displacements Xi and Xo are measured from their respective equilibrium positions. Derive the transfer function of the system wherein Xi is the input and Xo is the output. Then obtain the response Xo (t) ki bi b,* when input Xi (t) is a step displacement of magnitude Xi occurring at t 0. Assume that Xo (0-) 0.
Question 3 a) Develop the transfer function X,(s)/F(s) of the mechanical system shown in Figure 3(a). Give and explain one example the real application where you can relate with this system. (5 marks) b) Routh's stability criterion is of limited usefulness in linear control systems analysis mainly because it does not suggest how to stabilize an unstable system. Thus, we should evaluate the stability range of a parameter value. Consider the servo system with tachometer feedback as shown in Figure...
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t<0. The input force f is applied at 0. The displacement x is the output of the system and is measured from the equilibrium position. kI b2 bi it Figure 3. Schematic of a mechanical system. (a) Obtain the traf) (10 marks) X (s) F(s) (b) Use of force-voltage analogy, obtain the equations for an electrical system (5 marks) (c) Draw a...
We consider here, the two masses m1 and m2 connected this time
by springs of stiffnesses k1, k2 and k3 as shown in the figure
below. We denote x1 (t) and x2 (t) as the movement of each of the 2
masses relative to its position of equilibrium static.
1) Prove that the differential equation whose unknown is the displacement is written in the following form:
2) Deduce the second differential equation whose unknown is the
displacement
3) Determine the...