📘 mechanical vibrations

1. **Problem Statement:** We have an underdamped mass-spring-damper system with mass $m=100$ kg, spring constant $k=20000$ N/m (since 20 kN/m = 20000 N/m), damping coefficient $c=2

1. **Menentukan frekuensi alami dan bentuk pola (mode shapes) sistem 3 DOF** Diberikan matriks kekakuan $$\mathbf{K} = k \begin{bmatrix} 6 & -3 & 0 \\ -3 & 5 & -2 \\ 0 & -2 & 5 \en

1. **State the problem:** A 13.6-kg block is attached to three springs arranged vertically: the top spring with stiffness $k_1=3500$ N/m, and two bottom springs with stiffness $k_2