A mechanical system is represented by two masses and three springs, where m, =12 kg, m, = 22kg, and spring constants k, = k, = kg = 15 N/m, as shown in the following figure. m2 Determine the largest...

Extracted text: A mechanical system is represented by two masses and three springs, where m, =12 kg, m, = 22kg, and spring constants k, = k, = kg = 15 N/m, as shown in the following figure. m2 Determine the largest eigenvalue of this mechanical system using the characteristic equation. а. Determine the smallest eigenvalue and the corresponding eigenvector using Inverse Power method. Given the initial eigenvector v(0)=(1 1 1)". Iterate until |ak+1 - 2x IS0.0005. b.