Stable equilibrium 256, 257; see Centre
of Gravity and Floating Bodies
Stability of motion 300
Static friction 404
Statical problems, examples of 591;
balance 592; rod with frictionless
constraint 592; rod constrained by
rough surfaces 592; block on rough
plane 592; mass supported by rings
round rough post 592; cord wound
round cylinder 592
Statics 2, 3,. of a particle 408, of a
rigid body, 552
Stationary action 281
Straight beam infinitely little bent
623
Strain 135; homogeneous strain 136;
properties of homogeneous strain 137;
strain ellipsoid 141; axes of strain
ellipsoid 144; elongation and change
of direction of any line of a body in
condition of strain 145; distortion
in parallel planes without change of
volume 148; simple shear 150; axes
of a shear 152, ratio of a 153, amount
of a 154, planes of no distortion în
a 155, is a simple elongation and ex-
pansion combined with a shear 156;
analysis of strain 157; pure strain
159; composition of pure 160
Stress 629, homogeneous 630, specifi
cation of a 632, components of a
633, simple longitudinal and shearing
stress 633; stress quadratic 63+;
normal planes and axes of a stress
quadratic 635; varieties of stress
quadratic 636; laws of strain and
stress compared 639; rectangular ele
ments of strain and stress 640; work
done by a strain 641; a physical ap-
plication 642; stress produced by a
single longitudinal stress 653; ratio
of lateral contraction to longitudinal
extension different for different sub-
stances 655; stress required to pro-
duce a simple longitudinal strain 663;
stress components in terms of strain
for isotropic body 664; strain compo-
nents in terms of stress 665; funda-
mental problems in mathematical
theory of equilibrium of elastic solid
667; equation of energy of isotropic
body 666; equations of internal
equilibrium 668; comparative strain
of similar bodies as depending on
dimensions 682
St Venant on torsion of prisms 669;
see Torsion
Surface density 477
Surface of equilibrium 505; relative in-
Time, unit of 190, measurement of
358, 371
Time integral 262
Time of rotation of the earth round its
axis increased by friction 248
Time of oscillation of fluid in a U tube
Appendix k; of a simple pendulum
Appendix b, c, d, e, compound pen-
dulum Appendix g; wave running
along a stretched cord Appendix k
Tops, motion of spinning 118
Torsion, laws of 607
Torsion balance 383
Torsion of a wire 605; laws of 607
Torsion of prism's, St Venant on 669,
lemma 670; torsion of circular cy-
linder 671; prism of any shape. 672,
623; hydrokinetic analogue 675; con-
tour lines for normal sections of
prisms &c. under torsion; elliptic
cylinder, equilateral triangular prism,
curvilinear square prisms, square
prisms: bars elliptic, square, flat,
rectangular 676; relation of tor
sional rigidity to flexural rigidity
677; ratio of torsional rigidity to
those of circular rods of same mo-
ment of inertia, or of same quantity
of material 677; places of greatest
distortion in twisted prisms 678
Tortuosity 11
Tortuous curve 11, 13
Transformation electrical, by reciprocal
radius vectors 531
Transmission of force through elastic
solid 629; transmission of homo-
geneous stress 630; force trans-
mitted across any surface in elastic
solid 631
Triangle of forces 410, equivalent to a
couple 411
Triangle of velocities 31
Trochoid 103
Tubes of force 308
Turning, positive direction of 455
Uniform acceleration 36, 431 space
described 43
Uniform circular motion, acceleration
in 37; composition of two 86
Uniform velocity 23
Unit angle 55; of angular velocity 55;
of angular measure 357
of cubic measure 364
of force 188, 366, 476
- length 360-362
mass, space, time 190, 365
work (scientific) 204, gravitation 204
surface 363'
Units, tables for conversion of 362-366,
661
Unstable equilibrium 256, 257; see
Centre of Gravity and Fluid
Varying action 279; optical illustration
286; a criterion for kinetic stability
309
Velocities, parallelogram, triangle, poly-
gon of 31; examples of velocities 41
Velocity 23. uniform 23, variable 26,
component 29, resolution of 29,
resultant 31, moment of 46, angular
54, relative 63, change of 177,
virtual 203, 254
Velocity of a planet at any point of its
orbit 48; in simple harmonic motion
73
Velocity of escape of fluid from an ori.
fice Appendix g
of longitudinal vibrations along a
rod 658
of wave along stretched cord Ap.
pendix h
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