Engineering vibration (PME302) HW # 1. 28 x x f f k1 m k1 k2 m k2 (a) x1 x2 (b) x3 x1 f f f k3 x3 x2 k5 f f f c5 k1 c1 k3 k2 m1 c2 m2 c3 m3 k4 k1 c4...

2. Using the Lagrange’s equation, this problem is to obtain

the equation of motion using the given coordinate systems

(Neglect gravity)

(a) Determine the DOF (degrees of freedom) and

generalized coordinates.

(b) Draw Free Body Diagram for each element

(c) Obtain the kinetic and potential energy.

(d) Derive the equations of motion using Lagrange’s

equation, and show it in matrix form.