Inertia bound motion

The columns in Table I A AH,A/, and AAG refer to the thermodynamic parameters for reaction (15). In view of the fact that in molecular H2 complexes, the hydrogen molecule is known to undergo relatively free rotation (1) it was initially considered that the small entropy of binding of hydrogen might be due to less restricted motion of the bound molecule. A simpler explanation is that H2, due to its small mass and moment of inertia has less entropy to lose on complexation than does N2. Thus the entropy of reaction (15) is describe by eqn.(16) below ... 

In Sect. 3.2, we have seen that a dynamical system with unilateral or bilateral frictional contact can possess a peculiar characteristic, namely the inertia matrix may be asymmetric and nonpositive definite. Painleve was the first to point out the difficulties that may arise in such cases [53, 95]. As we will see in this section through examples, the presence of a kinematic constraint with friction could lead to situations where the equations of motion of the system do not have a bounded solution (inconsistency) or the solution is not unique (indeterminacy). These situations where the existence and uniqueness properties of the solution of the equations of motion are violated are known as the Painleve s paradoxes. There is a vast literature on the general theory of the rigid body dynamics with frictional constraints... 

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