# Instantaneous Sentence Examples

- His success was
**instantaneous**and complete. - With Jonathan, it had been
**instantaneous**as well. - Thus the relative motion of the wheels is unchanged; but I is considered as fixed, and 2 has the total motion, that is, a rotation about the
**instantaneous**axis I, with the angular velocity cii+a1. - The
**instantaneous**centre of CD will be at the intersection of AD, BC, and if CD be drawn parallel to CD, the lines CC, DD may be taken to represent the virtual velocities of C, D turned each through B a right angle. - Thus if an
**instantaneous**impulse ~ changes the velocity of a mass m from u to u we havtt mumu=f. - CG2.61, by 3, since the body is turning about the line of contact (C) as
**instantaneous**axis, and the potential energy isMgh cosO. - Drawn in the direction of the
**instantaneous**axis, we have I I=M4/p(~ II); hence w varies asp. The locus of J may therefore be taken as the polhode (f 18). - The
**instantaneous**centre will have a certain locus in space, and a certain locus in the lamina. - If we equate these to zero we get the co-ordinates of the
**instantaneous**centre. - 52, if an infinitesimal deformation is possible without removing the bar CF, the
**instantaneous**centre of CF (when AB is fixed) will be at the intersection of AF and BC, and since CC, FF represent the virtual velocities of the points C, F, turned each through a right angle, CF must be parallel to CF. - Coincide withthe
**instantaneOus**positimi of G, we have ~, 5i, z=o, and the theorem follows. - The kinematical relations above explained now lead to the conclusion that in calculating the effect of extraneous forces in an infinitely short time t we may take moments about an axis passing through the
**instantaneous**position of G exactly as if G were fixed; moreover, the result will be the same whether in this process we employ the true velocities of the particles or merely their velocities relative to G. - ~(m.PN1)=Iw2, (4) where I is the moment of inertia about the
**instantaneous**axis. - The equation of the latter, referred to its principal axes, being as in II (41), the co-ordinates of the point J where it is met by the
**instantaneous**axis are proportional to p, q, r, and the direction-cosines of the normal at J are therefore proportional to Ap, Bq, Cr, or X, u, v. - 77 the kinetic energy generated is ~M (ic2H- Cq2)cuf, if C be the
**instantaneous**centre; this is seen to be equal to ~F. - Now T = 3/41w1, where w is the angular velocity and I is the moment of inertia about the
**instantaneous**axis. - If a be the inclination of the
**instantaneous**axis to the axis of symmetry, (3 the inclination of the latter axis to the invariable line, we have rcosfl=Cw cos a, r sin ~3 = Aw sin a, (6) whence tan ~ =~ tan a. - And a continuous force may be regarded as the limit of a succession of infinitesimal
**instantaneous**impulses. - In the present case the
**instantaneous**axis returns to its initial position in the body whenever 4 increases by 2w, i.e. - 36 we see that the angular velocities p, q, r of the moving lines, OA, OB, OC about their
**instantaneous**positions are p=Osin4,sin0cos4,~,q=cos4,+sin0sin4,i~,~ - We may note further that when ~ is small the displacement q has the equilibrium value Q/c, the same as would be produced by a steady force equal to the
**instantaneous**value of the actual force, the inertia of the system being inoperative. - Moves at right angles to the central plane of its shaft and (ork, therefore the line of intersection of the central planes of the two forks at any instant is the
**instantaneous**axis of the cross, and the velocity ratio of the points Ff, F2 (which, as the forks are equal, is also the angular velocity ratio of the shafts) is equal to the ratio of the distances of those points from that**instantaneous**axis. - The whole effect is summed up in the value of the
**instantaneous**impulse, which is the timeintegral of the force. - It is to be carefully noticed that the axis of resultant angular momentum about 0 does not in general coincide with the
**instantaneous**axis of rotation. - The preceding formulae are sufficient for the, treatment of
**instantaneous**impulses. - The case of 2BT=ri, exactly, is therefore a critical case; it may be shown that the
**instantaneous**axis either coincides permanently with the axis of mean moment or approaches it asymptotically. - The line of contact T, therefore, on the surface of the cylinder bbb, is for the instant at rest, and is the
**instantaneous**axis FIG. - Let -y denote the total angular velocity of the rotation of the cone B about the
**instantaneous**axis, $ its angular velocity about the axis OB relatively to the plane AOB, and a the angular velocity with which the plane AOB turns round the axis OA. - The relative motion of the faces of contact of the ridges anc grooves is a rotatory slidiug or grinding motion, about the line 01 contact of the pitch-surfaces as an
**instantaneous**axis. - The angular velocities of the two disks and of the cross are all equal at every instant; the middle point of the cross, at A, revolves in the dotted circle described upon the line of centres C1C, as a diameter twice for each turn of the disks and cross; the
**instantaneous**axis of rotation of the cross at any instant is at I, the point in the circle Cf C2 diametrically opposite to A. - To find the ratio of these velocities, produce C1T~, C2T, till they intersect in K; K is the
**instantaneous**axis of the connecting rod, and the velocity ratio is ci :v2 ::KTi :KT2. - Woman, in her wasted life, in her hurried death, here stands appealing to the society that degrades her, with a combination of eloquence and poetry, of forms of art at once
**instantaneous**and permanent, and with great metrical energy and variety. - The principle gives an
**instantaneous**solution of the question of the ultimate optical efficienc y in the method of " mirror-reading," as commonly practised in various physical observations. - Mag., 1904), whose point of view offers the great advantage of affording an
**instantaneous**explanation of the peculiarity noticed by Brewster. - The effects of a bite by a poisonous snake upon a small mammal or bird are almost
**instantaneous**, preventing its escape; and the snake swallows its victim at its leisure, sometimes hours after it has been killed. - Thus, for refined purposes, it cannot be assumed with any certainty that the
**instantaneous**scale-value of the heliometer is known, or that it is a function of the temperature. - In determinations of stellar or solar parallax, comparison stars, symmetrically situated with respect to the object whose parallax is sought, should be employed, in which case the
**instantaneous**scale-value may be regarded as an unknown quantity which can be derived in the process of the computation of the results. - But, though not destroyed, the Port Arthur squadron was paralysed by the
**instantaneous**assertion of naval superiority. - There are farther inconveniences in the use of such a telescope, viz., that the image undergoes a diurnal rotation about the axis of the horizontal telescope, so that, unless the sensitive plate is also rotated by clockwork, it is impossible to obtain sharp photographs with any but
**instantaneous**exposures. - If, AB being held fixed, the 3 quadrilateral be slightly de formed, it is obvious that the
**instantaneous**centre J will - be at the intersection of the - .~ straight lines AD, BC, since s the displacements of the points D, C are necessarily at right angles to AD, BC, respectively. - If the bar be displaced in a vertical plane so that its ends slide on the two inclines, the
**instantaneous**centre is at the point J. - In problems of impact we have to deal with cases of practically
**instantaneous**impulse, where a very great and rapidly varying force produces an appreciable change of momentum in an exceedingly minute interval of time. - Again, if the
**instantaneous**position of G be taken as base, the angular momentum of the absolute motion is the same as the angular momentum Of the motion relative to G. - Referred to G as a moving base, are equal to the rates of change of the corresponding components of angular momentum relative to a fixed base coincident with the
**instantaneous**position of Cr. - If m be the mass of a particle at P, and PN the perpendicular to the
**instantaneous**axis, the kinetic energy T is given by 2T=2~{m(w. - For we have seen that r is constant when there are no extraneous forces; and r is evidently not affected by an
**instantaneous**impulse which leaves the angular momentum Cr, about the axis of symmetry, unaltered. - By reasoning similar to that of 30, it appears that OT is the
**instantaneous**axis of rotation 01 the rolling cone. - The path of a point P in or attached to the rolling cone is a spherical epitrochoid traced on the surface of a sphere of the radius OP. From P draw PQ perpendicular to the
**instantaneous**axis. - Such a complex motion is called screw-like or helical motion; for each point in the body describes a helix or screw round the axis of rotation, fixed or
**instantaneous**as the case may ~ be. - 103) be rolled on the inside of the pitch-circle BB of a wheel, it appears, from 30, that the
**instantaneous**axis of the rolling curve at any instant will T a be at the point I, where it ~ E - The line of intersection of the planes perpendicular to the paths of the two connected points at a given instant is the
**instantaneous**axis of the link at that instant; and the velocities of the connected points are directly as their distances from that axis. - If the total resistance against which the train is maintained in motion with an
**instantaneous**velocity of V feet per second is R, the rate at which energy is expended in moving the train is represented by the product RV, and this must be the rate at which energy is supplied to the train after deducting all losses due to transmission from the source of power. - An
**instantaneous**deduction from the relation w= 2 n0 is that forms of uneven orders possess only invariants of even degree in the coefficients. **Instantaneous**death results from taking the pure acid.- An overwhelming naturalism swamped the older reserves of Egyptian art, and the expression of the postures, actions and familiarities of daily life, or the
**instantaneous**attitudes of animals, became the dernier cri of fashion. - They are brought about by "the rod of God," which Moses wields, the effect being
**instantaneous**and all-embracing. - It is seemingly
**instantaneous**at last. - In a couple of years, I won't have so many problems searching the memories. It'll be
**instantaneous**, like that! he said and snapped his fingers. - At the same time it renders more intelligible the extreme sensitiveness of the bodywall of the Nemertines, a local and
**instantaneous**irritation often resulting in spasmodic rupture of the animal at the point touched. - It is by no means the most powerful poison known, for such an alkaloid as pseud-aconitine, which is lethal in dose of about 1/200 of a grain, is some hundreds of times more toxic, but prussic acid is by far the most rapid poison known, a single inhalation of it producing absolutely
**instantaneous**death. - Where accurate differential observations or photographs involving other than
**instantaneous**exposures have to be made, the additional condition is required that the optical axis of the telescope shall accurately and automatically follow the object under observation in spite of the apparent diurnal motion of the heavens, or in some cases even of the apparent motion of the object relative to neighbouring fixed stars.