I am not sure about the eigen vectors or the eigen values would like confirmation and the solutions for part B as well, Thank you. (1 point) Consider the linear system = [3] -3 -2 5 3 y. -3-1 a. Find the eigenvalues and eigenvectors for the coefficient matrix. -3+1 di vi 5 -i and 12 13 5 b. Find the real-valued solution to the initial value problem โปร์ -3y1 - 2y2 5y1 + 3y2, yı(0) = -10, y2(0) =...
compute its eigen value and vector oto 19. -2
(10 pts) The mode shape of a uniform rod of length L fixed at both ends in axial vibration is 1. e,(x)-a,sin/m) Find the value of the coefficient a, such that the mode is orthonormal. Assume the mass per unit length of the rod is m (10 pts) The mode shape of a uniform rod of length L fixed at both ends in axial vibration is 1. e,(x)-a,sin/m) Find the value of the coefficient a, such that the mode is...
A long steel (SAE 1018HR) plate is welded on both ends as shown in the following figure. The plate thickness is 10mm. The dimensions shown blow are b = 50mm,d = 25mm,c = 200mm, h = 5mm. A concentrated force F is applied at the center. The electrode material is E7010. A factor of safety is assumed to be 2.5 for both plate and welding. Find the maximum allowable force F. F О hv d ki b
Problem 2: Find the eigen-value decomposition of the matrix: 1 2 2 A 2 1 2 2 2 1
Please answer 1 and 2 with explanation. EIGEN VALUE-VECTORS 1) Find the eigenvalues and their corresponding eigenvectors of the matrix 1 3 2 ) A=| 10 -2 ) 2) Find the eigenvalues and their corresponding eigenvectors of the matrix Tunin o diaconal matrix. Can matrix A be
The beam shown in Figure has lateral support only at the ends. Both the uniform load and the concentrated load is live load. Use S355 steel and select a HEB shape. The live load deflection must not exceed L/360. Use LRFD. ? 100 kN 30 kN/m 6 m 6 m 12 m
3. As a rod is heated, it expands outward toward both ends (from the middle). If a rod were cut in half at its center so that it has four ends and if the two new, shorter rods were placed end to end, by how much would the overall expansion of the rod change? Ignore the small amount of metal lost in the cutting process. Revised 7-17-14 Experiment 10 - Page 8 All Rights Reserved
Forthabaam modulus af Elasticity = tb St^ne« - 48 IN/m LB/2 Simple Suppoit both ends Column is hochodMrkm Modulus of ElasisityEN/m2 SMA I Pviral both ends Produce an equation f·ZTci, which causao the load on the column to raach the criticel Value. Use Symbols shawn Forthabaam modulus af Elasticity = tb St^ne« - 48 IN/m LB/2 Simple Suppoit both ends Column is hochodMrkm Modulus of ElasisityEN/m2 SMA I Pviral both ends Produce an equation f·ZTci, which causao the load on...
The Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. The pulley can be approximated by a uniform disk with mass m = 4.53 kg and radius r = 0.450 m. The hanging masses are mu = 20.5 kg and mr = 12.7 kg. Calculate the magnitude of the masses' acceleration a and the tension in the left and right ends of the rope, T, and Tr, respectively. mi m/s2 TL...