4. Solve for the transfer functions Y,is/Fis) and Y:ls)/Fis) y1lt) y2(t) ka kı k2 m2 C1 C2 m 2 kg...
h 1 (25 Pts) Consider the system shown below C2. C1 ki k2 ky ka kı = 8 N/m, k,-100 N/m, k3-k,-50 N/m and c,-c2-16Ns/m. a) Determine the equation of motion for the system b) Compute the time constant and natural frequency of oscillation tain the free response for the initial conditions x(0)-1 and (0)-1
Find the state space representation of the following system. Show all work. m2 • m1 = 3 kg • m2 = 1 kg kı = 4 N/m k2 = 1 N/m C1 = 2 Ns/m C2 = 5 Ns/m C3 = 3 Ns/m
and C2 in the xy-planedefined by the parametric equations Consider trajectories on two curves C1:x=t?, y=t? - <t<«. C2: x = 3t, y=t?, - <t<mo. These two trajectories are known to *intersect* at exactly two points. The origin (0,0) is one of them. And there is another one, which we'll call P. Find Pand select the choice below which gives the slope of the tangent line to the first curve at the point P. Note that only ONE of the...
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...
Question 2 (30 points) Integrate f(x, y,2) xzv2-z2 - y2 over the path C, which consists of two curves, C1 and C2 from (1, 0, 0) to (1,0, 0), then to (-1,3, 0). Curve C1 is only half of the circle2 Curve C2 is a straight-line segment. The parametric equation for G is G: r! (t)-cos t î + sin t k, 0 π Find the line integral: Jcf(x. y,z)ds - (25 points) C2 (-1,3,0) Question 2 (30 points) Integrate...
X, 0 K2= 5 N/m 7000 M = 1 kg Sv2 = 3 N-s/m M2= 2 kg Derive the expression for the he transfer function, G(s) = X1 (S)/Fs) and select the correct answers below. Nega answers.
Consider the following 2-period model U(C1,C2) = min{4C1,5C2} Ci + S = Y1-T C2 = Y2 - T2 + (1+r)S Where C: first period consumption C2: second period consumption S: first period saving Y] = 20 : first period income Ti = 5 : first period lump-sum tax Y2 = 50 : second period income T2 = 10 : second period lump-sum tax r= 0.05 : real interest rate Find the optimal saving, S*
Problem 2 Determine the transfer function 01(s)/M(s) for the shaft-gear mechanical system in the figure, where 1(s) and Ms) are the Laplace transforms of the angle 01(t) and of the moment m(t). Use the time-domain mathematical model of this system. Known are J1, ki, J2, c, k2, Ni and N2. N. 1000 0,m 0 000 N Problem 3 By using the transfer function 1(s)/Ms), determined in Problem 2, calculate and plot 01(t) using the step input command of MATLAB. Known...
Please answer the questions for Part 1 and Part 2 showing all steps, using the provided data values. Many thanks. M2 2 C2 2' 2 2 C2 2'2 Spring steel Mi k1 C1 2'2 1 C1 Base y(t) Base movement Figure 2 shows a shear building with base motion. This building is modelled as a 2 DOF dynamic system where the variables of ml-3.95 kg, m2- 0.65 kg, kl-1200 N/m, k2- 68 N/m, cl- 0.40 Ns/m, c2- 0.70Ns/m The base...
Solve the following differential equition. Find C1 and C2. #6 Solve the DE. dig -4 og sy=0 761=0,341)=9 -9 4²-46-5-0 5 y=56.87 Get (m-57 (m+1)=0 y (11 =9=50,8 ce w=5, 1 %= Cetç 2 (1)=o= C, e te est cel 9=50, et le - How do you find G & C₂ ?