# How to use *Inertia* in a sentence

The new A, B, C are called the principal moments of

**inertia**at 0.They both protested against the political and ecclesiastical

**inertia**of their native state, and adopted the doctrines of freedom and reason.The most important conception in kinetics is that of

**inertia**.The

**inertia**of the mass of the flying creature enables it to control and direct its movements in the air.Bill gave COAST lots of advice on how to tackle government & bureaucratic

**inertia**, which we will now use.AdvertisementHowever the

**inertia**of the coil reduces high frequency response.For example, poor thermal

**inertia**could be due to a poorly packed frost layer.These doctrines of

**inertia**, and of the composite character of curvilinear motion, were scarcely apprehended even by Kepler or Galileo; but they follow naturally from the geometrical analysis of Descartes.The numerous adjustments required by the tapper and the

**inertia**of the apparatus prompted inventors to seek for a self-restoring coherer which should not need tapping.Mental operations are identified with physical movements, the three conditions of physical movement,

**inertia**, attraction and repulsion, being in the moral world self-love, love and hate.AdvertisementBut Jerome proved quite inadequate to his position, listening to the complaints of his subordinates as to want of supplies and even of pay; he spent four whole days in absolute

**inertia**, notwithstanding the emperor's reprimands.If A is the moment of

**inertia**of the magnet, and t the time of a complete vibration, MH = 41r 2 A/t 2 (torsion being neglected).Wladislaus was the personification of helpless

**inertia**.In particular, when a = oo, the extra

**inertia**is M'.Similarly, parallel to Oy, the increase of effective

**inertia**is NT'/th n th(n-a), reducing to M'/th n=M' (a/b), when a= oo, and the liquid extends to infinity.AdvertisementSingle needles are never used, two being the least number, and these so arranged that the moment of

**inertia**about every diameter of the card shall be the same.With the same notation for moments and products of

**inertia**as in II (38), we have and therefore by (1),Now T = 3/41w1, where w is the angular velocity and I is the moment of

**inertia**about the instantaneous axis.In order that the moments and products of

**inertia**with respect to these axes may be constant, it is in general necessary to suppose them fixed in the solid.If we now apply them to the case of a rigid body moving about a fixed point 0, and make Ox, Oy, Oz coincide with the principal axes of

**inertia**at 0, we have X, u, v=Ap, Bq, Cr, whence A (B C) qr = L,AdvertisementThe product wp/g, by which the half-square of the angular velocity is multiplied, is called the moment of

**inertia**of the revolving body.The principles according to which variations of angular velocity store and restore energy are the same as those of 117, only substituting moment of

**inertia**for mass, and angular for linear velocity.Let da be the deviation of angular velocity to be produced in the interval dt, and I the moment of the

**inertia**of the body about an axis through its centre of gravity; then 1/8Id(&) = Iada is the variation of the bodys actual energy.W and I being respectively the weight and the moment of

**inertia**of the link about the axis through the Centre of gravity.Its momen4 of

**inertia**about G can be found experimentally by the method explained in 125, and then the value of the couple M can be computed.AdvertisementDalby (London, 1906), where the

**inertia**stresses brought upon the several links of a Joy valve gear, belonging to an express passenger engine of the Lancashire & Yorkshire railway, are investigated for an engine-speed of 68 m.Varley had advanced tentatively the hypothesis that it consisted in an actual projection of electrified matter from the cathode, and Crookes was led by his researches in 1870, 1871 and 1872 to embrace and confirm this hypothesis in a modified form and announce the existence of a fourth state of matter, which he called radiant matter, demonstrating by many beautiful and convincing experiments that there was an actual projection of material substance of some kind possessing

**inertia**from the surface of the cathode.The final outcome of these investigations was the hypothesis that Thomson's corpuscles or particles composing the cathode discharge in a high vacuum tube must be looked upon as the ultimate constituent of what we call negative electricity; in other words, they are atoms of negative electricity, possessing, however,

**inertia**, and these negative electrons are components at any rate of the chemical atom.No one has yet been able to isolate positive electrons, or to give a complete demonstration that the whole

**inertia**of matter is only electric**inertia**due to what may be called the inductance of the electrons.Atoms of matter are composed of congeries of electrons and the

**inertia**of matter is probably therefore only the**inertia**of the electromagnetic medium.'If the centre of gravity of a pulley is on the axis of rotation, and the whole mass is distributed so that the axis of

**inertia**coincides with the axis of rotation, there can be no unbalanced force or unbalanced couple as the pulley revolves.Ignorance regarding the

**inertia**of matter drove him to this expedient.Throughout the early 1930s the Labor left constantly tried to overcome the

**inertia**of the trade union leaders.One way to improve turbo lag is to reduce the

**inertia**of the rotating parts, mainly by reducing their weight.Make Training Evaluation Work is a book designed to break through this organizational

**inertia**.This added weight creates more rotational

**inertia**, which in turn enables the disk to spin with more constant torque.Lap belt,

**inertia**reel belt or fixed harness with two shoulder straps.Braking response and feel are outstanding, and a very lightweight, six-spoke cast aluminum wheel reduces unsprung weight and steering

**inertia**.They had also spent several hours each day practicing the maths test used to quantify sleep

**inertia**.There is little that is new, much that is simply repeated and re-hashed, and only sheer

**inertia**has kept me plowing through.According to our hypothesis, the foreign matter may be supposed to load the aether, so as to increase its

**inertia**without altering its resistance to distortion.It has a very large starting torque, which enables it to overcome the

**inertia**of getting the load into motion, and it lifts heavy loads at a slower speed and lighter loads at a quicker one, behaving, under the action of the controller in a somewhat similar manner to that in which the cylinders of the steam crane respond to the action of the stop-valve.The introduction ctf the lamina (supposed to be devoid of

**inertia**) will make no difference to the propagation of plane parallel sonorous waves through the position which it occupies.If the two materials are disposed symmetrically, the amount of load carried by each would be in direct proportion to the coefficient of elasticity and inversely as the moment of

**inertia**of the cross section.The observations are difficult, and the

**inertia**of the instrument is liable to cause error, but much care was taken.When the frame of this arrangement is rapidly displaced through a small horizontal range to the right and left of the direction in which the rod points, the weight b by its

**inertia**tends to remain at rest, and the motion of the frame, which is that of the earth, is magnified in the ration op to bp. This apparatus, of which there are many types, was first introduced into seismometry by Professor Ewing.If A = B = C, the momental ellipsoid becomes a sphere; all axes through 0 are then principal axes, and the moment of

**inertia**is the same for each.This gives the acceleration of m as modified by the

**inertia**of the wheel.The depiction implies passive

**inertia**on the part of the congregation who heard this message, rosaries in hand.Instead of overcoming a bewailed

**inertia**, Reich 's theories hardly sufficed to sustain a ridiculous private racket.A desire to gain control over the

**inertia**of life leads hummingbird-lovers to the tattoo parlor.The origin of the name deviation moment sometimes applied to a product of

**inertia**is also now apparent.In this case the kinetic energy is given by 2T = M0 (u1 +v2+w1) +AP2 +Bq2 +Cr2 2Fqr 2Grp 2Hpq, (13) where M0 is the mass, and A, B, C, F, G, H are the moments and products of

**inertia**with respect to the mass-centre; cf.The resulting Z+R equations are not as a rule easy of application, owing to the fact that the moments and products of

**inertia**A, B, C, F, G, H are not constants but vary in conse- 0 quence of the changing orientation of the body with respect to the co-ordinate axes.Cji=L, Cq=M, Ct=N, (18) where C is the constant moment of

**inertia**about any axis through the mass-centre.The first law of motion - that which expresses the principle of

**inertia**- is virtually contained in the idea of uniformly accelerated velocity.The third attachment point takes a single diagonal fixed belt or

**inertia**reel extension but not a harness with straps over both shoulders.This is due to friction,

**inertia**and other blah.The goad is an elephant goad, used to produce movement from

**inertia**.The parameters of the rotor Hamiltonian are the three principal moments of

**inertia**.It is to be remembered that all force is of the nature of a push or a pull, and that according to the accepted terminology of modern mechanics such phrases as force of

**inertia**, accelerating force, moving force, once classical, are proscribed.In that year, though the Church was under no direct threat of attack, owing to the

**inertia**of the emperor Philip the Arabian, the atmosphere was full of conflict.It is usually accurate enough in deflection calculations to take for I the moment of

**inertia**at the centre of the beam and to consider it constant for the length of the beam.The fact that the moment of

**inertia**of the magnet varies witli the temperature must, however, be taken into account.It appears from (24) that through any assigned point 0 three rectangular axes can be drawn such that the product of

**inertia**with respect to each pair of co-ordinate planes vanishes; these are called the principal axes of**inertia**at 0.Then the deviation y= DE of the neutral axis of the bent beam at any point D from the axis OX is given by the relation d 2 y Ml dx 2 = EI' where M is the bending moment and I the amount of

**inertia**of the beam at D, and E is the coefficient of elasticity.But on the modern theory, which includes the play of electrical phenomena as a function of the aether, there are other considerations which show that this number io 2 is really an enormous overestimate; and it is not impossible that the co-efficient of ultimate

**inertia**of the aether is greater than the co-efficient of**inertia**(of different kind) of any existing material substance.When the atoms are in motion these strain-forms produce straining and unstraining in the aether as they pass across it, which in its motional or kinetic aspect constitutes the resulting magnetic field; as the strains are slight the coefficient of ultimate

**inertia**here involved must be great.The velocity of a liquid particle is thus (a 2 - b 2)/(a 2 +b 2) of what it would be if the liquid was frozen and rotating bodily with the ellipse; and so the effective angular

**inertia**of the liquid is (a 2 -b 2) 2 /(a 2 +b 2) 2 of the solid; and the effective radius of gyration, solid and liquid, is given by k 2 = 4 (a 2 2), and 4 (a 2 For the liquid in the interspace between a and n, m ch 2(0-a) sin 2E 4) 1 4Rc 2 sh 2n sin 2E (a2_ b2)I(a2+ b2) = I/th 2 (na)th 2n; (8) and the effective k 2 of the liquid is reduced to 4c 2 /th 2 (n-a)sh 2n, (9) which becomes 4c 2 /sh 2n = s (a 2 - b 2)/ab, when a =00, and the liquid surrounds the ellipse n to infinity.But the presence of the medium makes the effective

**inertia**depend on the direction of motion with respect to the external shape of the body, and on W' the weight of fluid medium displaced.The effective angular

**inertia**of the body in the medium is now required; denote it by C 1 about the axis of the figure, and by C2 about a diameter of the mean section.When Montanus proposed to summon all true Christians to Pepuza, in order to live a holy life and prepare for the day of the Lord, there was nothing whatever to prevent the execution of his plan except the

**inertia**and lukewarmness of Christendom.Another type of quadratic moment is supplied by the deviationmoments, or products of

**inertia**of a distribution of matter.A, B, C are the moments of

**inertia**about the co-ordinate axes, and F, G, H are the products of**inertia**with respect to the pairs of co-ordinate planes.The extension to the case where the liquid is bounded externally by a fixed ellipsoid X= X is made in a similar manner, by putting 4 = x y (x+ 11), (io) and the ratio of the effective angular

**inertia**in (9) is changed to 2 (B0-A0) (B 1A1) +.a12 - a 2 +b 2 a b1c1 a -b -b12 abc (Bo-Ao)+(B1-A1) a 2 + b 2 a1 2 + b1 2 alblcl Make c= CO for confocal elliptic cylinders; and then _, 2 A? ?On the other hand, under the influence of the mechanics of his day, which had hardly distinguished between

**inertia**, or the inability of a body to change itself, and resistance or the ability of bodies to oppose one another, he concluded that, as**inertia**is passive, so is resistance, and refused to recognize that in collision the mutual resistance of moving bodies is a force, or active power, of changing their movements in opposite directions.Eschenhagen 2 first designed a set of magnetographs in which this idea of small moment of

**inertia**was carried to its useful limit, the magnets only weighing 1 .To find the relations between the moments of

**inertia**about different axes through any assigned point 0, we take 0 as origin.Consequently the

**inertia**to overcome in moving the cylinder r=b, solid or liquid, is its own**inertia**, increased by the**inertia**of liquid (a2+b2)/(a2,..b2) times the volume of the cylinder r=b; this total**inertia**is called the effective**inertia**of the cylinder r =b, at the instant the two cylinders are concentric.The point G determined by (I) is called the mass-centre or centre of

**inertia**of the given system.The graphical methods of determining the moment of

**inertia**of a plane system of particles with respect to any line in its plane may be briefly noticed.Even with the particles retarding the motion of the aether, the same will be true if, to counterbalance the increased

**inertia**, suitable forces are caused to act on the aether at all points where the**inertia**is altered.In the absence of a medium the

**inertia**of the body to transtion is the same in all directions, and is measured by the (3) But the change of the resultant momentum F of the medium as.The directions of these axes are determined by the property (24), and therefore coincide with those of the principal axes of

**inertia**at 0, as already defined in connection with the theory of plane quadratic moments.