Module 10 : Vibration of Two and Multidegree of freedom systems; Concept of Normal Mode;
                      Free Vibration Problems and Determination of Ntural Frequencies;
                      Forced Vibration Analysis; Vibration Absorbers; Approximate Methods -
                      Dunkerley's Method and Holzer Method
Lecture 1 : Free Vibration of Two d.o.f. systems
Solution of equations of motion
 

Considering harmonic vibrations, let us assume

 
10.1.3
 

Substituting in Eq (10.1.2 ), we get,

 
10.1.4
 

Rewriting this, we get,

 
10.1.5
   
1