noun

definition

A bicycle with no suspension system.

adjective

definition

Stiff, rather than flexible.

synonyms

definition

Fixed, rather than moving.

definition

Rigorous and unbending.

definition

Uncompromising.

Examples of rigid in a Sentence

Her frame was rigid, the table empty.

His body went rigid, and confusion crossed his features.

New Mexico (then including the present Arizona) and Utah were organized without any prohibition of slavery (each being left free to decide for or against, on admission to statehood), and a rigid fugitive slave law was enacted; these were concessions to the South.

Sirian's coldness had never struck her as anything but rigid discipline and cool thinking.

She'd never learned to lie; in fact, she would never dare lie to Mr. Tim, not with his rigid sense of integrity.

On the way home Alex was unusually quiet, his lips a thin line and his jaw rigid.

Fasts are long and rigid.

There is a corresponding kinematic peculiarity, in that the connection is now not strictly rigid, an infinitely small relative displacement being possible.

It reflects rather excessively high and excessively rigid pay costs.

In other words, if the system (considered as rigid) be made to turn about till the first factor coincides with i and the second with j, the product will coincide with k.

A frame of n joints and vi 3 bars may of course fail to be rigid owing to some parts being over-stiff whilst others are deformable; in such a case it will be found that the statical equations, apart from the thre identical relations imposed by the equilibrium of the extraneous forces, are not all independent but are equivalent to less thar 2,13 relations.

The principle can of course be extended to any system of particles or rigid bodies, connected together in any, way, provided we take into account the internal stresses, or reactions, between the various parts.

A general criterion for the case of a rigid body movable in two dimensions, with one degree of freedom, can be obtained as follows.

In particular, in the case of a frame which is just rigid, the principle enables us to find the stress in any one bar independently of the rest.

We have seen that the stresses produced by an equilibrating system of extraneous forces in a frame which is just rigid, according to the criterion of 6, are in general uniquely determinate; in particular, when there are no extraneous forces the bars are in general free from stress.

We may note that a frame of n joints which is just rigid must have 3116 bars; and that the stresses produced in such a frame by a given system of extraneous forces in equilibrium are statically determinate, subject to the exception of critical forms.

In the case of a rigid body we must suppose that those forces adjust themselves so as to preserve the mutual distances of the various particles unaltered.

It is to be noticed that the preceding statements are not intended to be restricted to rigid bodies; they are assumed to hold for all material systems whatever.

The increase of the kinetic energy of a rigid body in any interval of time is equal to the work done by the extraneous forces acting on the body.

Proceeding to the general motion of a rigid body in two dimensions we may take as the three co-ordinates of the body the rectangular Cartesian co-ordinates x, y of the mass-centre G and the angle C through which the body has turned from some standard position.

The equation of energy for a rigid body has already been stated (in effect) as a corollary from fundamental assumptions.

The motion of a rigid body in the most general case may be specified by means of the component velocities u, v, w of any point 0 of it which is taken as base, and the component angular velocities p, q, r.

Moving A xes of ReferenceFor the more general treatment of the kinetics of a rigid body it is usually convenient to adopt a system of moving axes.

The moving axes Ox, Oy, 01 form a rigid frame of reference whose motion at time t may be specified by the three component angular velocities p, q, r.

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,

Velocity Ratio of Components of Motion.As the distance between any two points in a rigid body is invariable, the projections of their velocities upon the line joining them must be equal.

And from this, and from the property of a rigid body, already stated in 29, it follows, that the components along a is ne of connection of all the points traversed by that line, whether -in the driver or in the follower, are equal; and consequently, that the velocities of any pair of points traversed by a line of connection are to each other inversely as the cosines, or directly as the secants, of the angles made by the paths of those points with the line of connection.

The link by which they are connected is a rigid rod or bar, which may be straight or of any other figure; the straight figure being the most favorable to strength, is always used when there is no special reason to the contrary.

Comparative Motion of Connected Points.As the link is a rigid body, it is obvious that its action in communicating motion may be determined by finding the comparative motion of the connected points, and this is often the -most convenient method of proceeding.

A kinematic link of the simplest form is made by joining up the halves of two kinematic pairs by means of a rigid link.

Thus if A1B1 represent a turning pair, and A5B1 a second turning pair, the rigid link formed by joining Bl to B2 is a kinematic link.

If B atops rolling, then the two cylinders continue to move as though they were parts of a rigid body.

The mode of distribution of a force applied to a solid body requires to be considered when its stiffness and strength are treated of; but, in questions respecting the action of a force upon a rigid body considered as a whole, the resultant of the distributed force, determined according to the principles of statics, and considered as acting in a single line and applied at a single point, may, for the occasion, be substituted for the force as really distributed.

It is only certain that at this epoch the fabric of Catholic faith was threatened with various forms of prophetic and Oriental mysticism, symptomatic of a widespread desire to grasp at something simpler, purer and less rigid than Latin theology afforded.

These and other reasons, notably the manufacture of much fictitious wine with the aid of sugar (fortunately stopped by the rigid new wine laws), led to the grave wine crisis, which almost amounted to a revolution in the Midi in the spring and summer of 1907.

It remained for him, however, to submit them to a rigid analysis and reduce them to a logical form.

His theological position was that of a mild and large-hearted orthodoxy, which laid more stress upon Christian experience than upon rigid dogmatic belief.

His Catholicism, however, was of a less rigid type than Gardiner's and Bonner's; he felt something of the force of the national antipathy to foreign influence, whether ecclesiastical or secular, and was always impressed by the necessity of national unity, so far as was possible, in matters of faith.

This block gave a more rigid platen, and at the same time ensured a more equal motion to the screw when actuated by the bar-handle.

Great strength is imparted to the frame, and the type bed is particularly rigid.

A rigid orthodoxy is sustained by means of purblind imitation assisted by no little persecution.

Of other papers in which he dealt with this and kindred branches of physics may be mentioned "Observations with a Rigid Spectroscope," "Heating of a Disc by Rapid Motion in Vacuo," "Thermal Equilibrium in an Enclosure Containing Matter in Visible Motion," and "Internal Radiation in Uniaxal Crystals."

In the 18th century many of the General Baptists gradually adopted the Arian, or, perhaps, the Socinian theory; whilst, on the other hand, the Calvinism of the Particular Baptists in many of the churches became more rigid, and approached or actually became Antinomianism.

As a means of preserving harmony the Philadelphia Confession of Faith, a Calvinistic document, with provision against too rigid a construction, was adopted and a step was thus taken toward harmonizing with the "Regular" Baptists of the Philadelphia type.

In some the rakes are attached to rigid frames, with a reciprocating motion, in others to cross-bars moved by revolving chains.

Knox was even more clearly in this case the chief author, and he had by this time come to desire a much more rigid Presbyterianism than he had sketched in his "Wholesome Counsel" of 1555.

The amount of revenue accruing to the Crown from the whole Reduktion it is impossible to estimate even approximately; but by these means, combined with the most careful management and the most rigid economy, Charles XI.

His eloquence gained him a hearing and a numerous following, including many laymen, but consisting principally of poor ecclesiastics, who formed around him a party characterized by a rigid morality and not unlike the Lombard Patarenes of the 11th century.

The foliage much resembles that of the Scotch fir, but is shorter, denser and more rigid; the cones are smaller but similar in form.

The black pine, P. austriaca, generally now regarded as a variety of P. Laricio, derives its name from the extreme depth of its foliage tints - the sharp, rigid, rather long leaves of a dark green hue giving a sombre aspect to the tree.

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