Machine and Mechanism
Mechanism:
If a number of bodies are assembled in such a way that the motion of one causes constrained and predictable motion to the others, it is known as a mechanism.
Machine:
A machine is a mechanism or a combination of mechanisms which, apart from imparting definite motions to the parts, also transmits and modifies the available mechanical energy into some kind of desired work.
Analysis:
Analysis is the study of motions and forces concerning different parts of an existing mechanism.
Synthesis:
Synthesis involves the design of its different parts.