Wobbling motion

Each weight causes a centrifugal force, which results in a rocking motion or rotor wobble. This condition can be simulated by placing a pencil on a table, then at one end pushing the side of the pencil with one finger. At the same time, push in the opposite direction at the other end. The pencil will tend to rotate end-over-end. This end-over-end action causes two imbalance orbits, both 180° out of-phase, resulting in a wobble motion. 

FIGURE 5.20 (See color insert following page 280.) Temperature influence for fluorescence anisotropy measurements on C22-modified sihca. (a) Decay cnrves for DPH at different temperatures, (b) schematic of wobble motion of DPH and resulting finorescence lifetimes (xp) and half-cone angles ). (Reprodnced from Pursch, M., et al., J. Am. Chem. Soc., 121, 3201, 1999. With permission.)... 

Large drops (De =1 cm) of chlorobenzene will fall through water with a somewhat erratic oscillatory motion (L3). The drop pitches and rolls. The flight is not vertical but is erratically helical in nature. A series of oscillations, accompanied by waves moving over the interface, can cause the drop to drift several inches in a horizontal direction in a range of a foot or two of fall. Such drops can not oscillate violently as described above, due to the damping action of such movement by the sliding side-wise motion of the wobble. Motion pictures indicate that internal circulation is also considerably damped out by this type of oscillation. Rate of... 

Moreover, ellipsoidal bubbles and drops commonly undergo periodic dilations or random wobbling motions which make characterization of shape particularly difficult. Chapter 7 is devoted to this regime. 

Rotational Motion of the Chains (Wobbling Motion of the Chains) and of the Headgroup... 

Figure 9.5 Schematic presentation of a wobbling motion of alkyl chain and the rotational...

Table 9.1 A comparison of dynamical properties of lipids. Relaxation times of the wobbling motion of the hydrophobic chain and the rotational motion of the headgroup (PN vector) and lateral diffusion coefficient, D.

The virtual volume coefficient Cy for potential flow around a sphere is 0.5. For ellipsoidal bubbles with a ratio of semiaxes 1 2, Cy is 1.12. For ellipsoidal bubbles with random wobbling motions, Fopez de Bertodano [26] calculated to be about 2.0. In addition, Cy is a function of the specific gas holdup [27-29] ... 

In the triaxial deformation region a lot more collective states occur than in the region of axially symmetric rotor. These states are characterized by strong intraband and weak interband transitions. The nucleus may perform wobbling motion. Parallel to the yrast line many rotational bands may exist and also band-crossings, producing sudden changes of the moment of inertia. 

A successful MOMD model for analyzing ESR line shapes for spin-labeled polymers was introduced by Meirovitch et al. This model, mentioned in Section 3.3, allows for constraints in the rotational diffusion. More precisely, the polymer chain segmental motion sensed by the tethered nitroxide, that is, the wobbling motion of the effective axis of internal rotation, was considered as constrained by an orienting potential, typically given by Eq. 3,... 

There is no true lateral flexion at the atlantoaxial joint, only a wobble created by the articulation of the superior axial and inferior atlantal articular facets. Unlike most facets, these four facets are all convex in shape (Fig. 24-3). During rotation of the atlas on the axis to the right, the left articular facet of the atlas in effect slides uphill on the left articular facet of the axis, while on the right the atlas slides downhill on the axis. This wobble motion is not true lateral flexion. 

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