Slender

A slender vertieal filament of negligible mass supports a 0.200-g mass at one end and is fixed at the other end. A foree of 0.0800 N displaees the mass 0.0200 m. The mass exeeutes simple harmonie motion as the filament bends. What is the bending eonstant KB of the filament What is the frequeney v of the motion in Hz What is the period t of oseillation ... 

The word match is of uncertain origin. In common parlance, a match is a short, slender, elongated piece of wood or cardboard, suitably impregnated and tipped to permit, through pyrochemical action between dry soHds with a binder, the creation of a small transient flame. The word match also is used for fuse lines which after ignition on one end serve as fire-transfer agents in fireworks and for explosives (qv). Such items belong in the field of pyrotechnics... 

Minimum work for an ideal separation at first glance appears unrelated to the slender vertical vessel having a condenser at the top and a reboder at the bottom. The connection becomes evident when one calculates the work embedded in the heat flow that enters the reboder and leaves at the condenser. An ideal engine can extract work from this heat. 

Nonagitated Batches Cases in which vessel contents are vertically stratified, rather than uniform in temperature, have been treated by Kern (op. cit.). These are of httle practical importance except for t, slender vessels heated or cooled with external exchangers. The result is that a smaller exchanger is required than for an equivalent agitated batch system that is uniform. 

Commercial Equipment Simple cyclones are available in a wide variety of shapes ranging from long, slender units to short, large-diameter units. The body may be conical or cylindrical, and entrances may be involute or tangential and round or rectangular. 

These motors are comparatively long and slender requiring a smaller bore diameter to slide easily into the bore hole/ bore well with the pump. 

It is recrystd three times from pet ether slender colourless needles, m 141°, sparingly soluble in pet ether and soluble in Et20. Does not fume in air but is decomposed by H2O to give tribenzyl silanol m 106° (from pet ether). [J Chem Soc 93 439 7908 J Org Chem 15 556 7950.]... 

Two possible structures are shown in Fig. 28.9. The first is a monopod a slender pillar with a broad foot, presenting a small section (perhaps 10 m wide) at the water surface. The second (and favoured) design is a gravel island, with a width of 100 to 200 m. In both cases it is essential to compute the maximum force the ice can exert on the structure, and to design the structure to withstand it. We are concerned here with the first problem the ice force. 

Slender unsupported regions with large length to thickness ratios are highly liable to distortion during processing. 

By dynamically balancing most parts, seal life and bearing life is greatly improved, even on smaller equipment. Dynamic balancing is needed on pump impellers, as the practice of static balance is woefully inadequate. Vertical pumps must be dynamically balanced the long, slender shafts are highly susceptible to any unbalanced-induced vibration. 

In 1964, two competing series of slender volumes appeared one, the Macmillan Series in Materials Science , came from Northwestern Morris Fine wrote a fine account of Phase Transformations in Comlen.ted Systems, accompanied by Marvin Wayman s Introduction to the Crystallography of Martensite Transformations and by Elementary Dislocation Theory, written by Johannes and Julia Weertman. The second series, edited at MIT by John Wulff, was entitled The Structure and Properties of Materials , and included slim volumes on Structure, Thermodynamics of Structure, Mechanical Behaviour and Electronic Properties. 

This line may be superimposed on the rib design data as shown in Fig. 2.28. Combinations of dimensions above this line are likely to provide ribs which are too slender and so are liable to buckling. Combinations below the line are likely to be acceptable but do remember the assumptions made in the determination of the buckling line - in particular, the ratio of Oy/E will increase with time due to creep and this will cause the buckling line to move downwards. 

Arecoline, CgHj 302N. This, the most important alkaloid of areca nut, is an odourless, alkaline oil, b.p. 209°, volatile in steam, miseible with most organic solvents and water, but extractable from the latter by ether in presence of dissolved salts. The salts are crystalline, but usually deliquescent the hydrobromide, B. HBr, forms slender prisms, m.p. 177-9°, from hot alcohol the aurichloride, B. HAUCI4, is an oil, but the platinichloride, B2. H2PtClg, m.p. 176°, crystallises from water in orange-red rhombs. The methiodide forms glancing prisms, m.p. 173-4°. 

This formula was confirmed hy Haworth and Perkin s synthesis of a-flZZocryptopine from herherine, the first application of a process, of which examples have heen given already in the syntheses of cryptopine (p. 298) and protopine (p. 301) hy the same authors. Anhydrotetrahydromethyl-herherine (I cf. hase (a), p. 346) in dry chloroform was added to a solution of perhenzoic acid in ether cooled helow 5°. The amine oxide, C21H23O5N (II), separated as an oil, which after shaking with sodium hydroxide solution, solidified and was crystallised from water in slender prisms, m.p. 135°. It was dissolved in acetic acid, hydrochloric acid added, the mixture heated in boiling water for an hour and the hase precipitated hy addition of potassium hydroxide. The precipitate was dissolved in methyl alcohol, ether added, the alcohol washed out with water and the ethereal... 

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