Understanding the Relationship between K, kcm, and kint

[negation]

So K = k_cm + k_int

Since k_cm relates to the center of mass, am I correct in my understanding to state
k_cm = 0.5mv²_cm?

What about k_int? What does this variable refers to conceptually?

 

[UltrafastPED]

Presumable the "int" stands for "internal motion" ... vibrations, etc. Any coherent motion is a form of sound (phonons); incoherent internal motion shows up as heat.

The kinetic theory of gasses is based on the K_int of the gas molecules; the K_com would be the wind ...