Q2 An anti-vibration system for a very sensitive machinery equipment is modelled as a mass-spring-damper system given in Figure Q2.1 consists of two mass blocks M and M2. The stiffness for first spring and second spring are Ki and K2 respectively. The damper connecting the mass blocks has the damping coefficient C. Assume the first mass block is on the frictionless surface while the second mass block has the surface friction coefficient of B. Consider the input is the displacement given to the first spring, X while the output is the displacement of the second mass, X3. Derive all equations related to this system and construct the system's block diagram. (15 marks) X1 X2 K M M2 K C Figure Q2.1 B