Elementary Treatise on Mechanics: For the Use of Colleges and Schools of Science

Front Cover
A.S. Barnes, 1870 - Mechanics - 296 pages
 

Contents

Measure of Forces
19
Acceleration due to a Force
20
Equilibrium
21
CHAPTER II
23
Composition of Concurrent Forces
24
Parallelogram of Forces
25
Geometrical Applications of the Parallelogram of Forces
26
Polygon of Forces
27
Parallelopipedon of Forces
28
Analytical Composition of Rectangular Forces
30
Application to Groups of Concurrent Forces
32
Formula for the Resultant of two Forces
34
Relation between two Forces and their Resultant
35
Principle of Moments
36
Moment of a Force with respect to an Axis 34
38
Principle of Virtual Moments
39
Resultant of Parallel Forces
41
Geometrical Composition of Parallel Forces 39 Coordinates of the Centre of Parallel Forces
46
Composition of Forces in Space applied at points invariably connected
47
Conditions of Equilibrium
49
CHAPTER III
50
Preliminary Principles 45 Centre of Gravity of a Straight Line
51
Additional Principles
52
Centre of Gravity of a Triangle 48 Centre of Gravity of a Parallelogram
53
Centre of Gravity of a Trapezoid 50 Centre of Gravity of a Polygon
54
Centre of Gravity of a Pyramid
56
Centre of Gravity of a Prism
57
Centre of Gravity of a Polyhedron
58
Experimental Determination of the Centre of Gravity
59
Centre of Gravity of a System of Bodies
60
Stable Unstable and Indifferent Equilibrium
63
Stability of Bodies on a Horizontal Plane
65
Pressure of one Body on another
67
Art PAGE 68 The Common Balance
83
The Steelyard
85
The Bent Lever Balance
86
Compound Balances
87
36
88
The Inclined Plane
89
The Pulley
92
Single Movable Pulley
93
Combination of Movable Pulleys
94
38
95
The Wheel and Axle
96
41
97
The Crank and Axle or Windlass 98
102
Wheelwork
103
The Differential Screw
105
The Endless Screw
106
44
107
Application of the Principle of Virtual Moments
108
Hurtful Resistances
109
Methods of Finding the Coefficient of Friction
110
Influence of Friction on an Inclined Plane
112
49
113
Friction on an Axle
115
Resistance to Rolling
116
Work of Friction
117
Stiffness of Cords
118
CHAPTER V
119
50
120
ន ន ន 51 51 52
121
54
122
56
123
60
124
63
125
Restrained Vertical Motion
126
Atwoods Machine
127
Art PAGE 108 Motion of Bodies on Inclined Planes
129
65
131
67
132
Motion of a Body down a succession of Inclined Planes
133
Periodic Motion
134
Angular Velocity and Angular Acceleration
135
The Simple Pendulum
136
Definitions and General Principles 74 60 Work 74
139
The Compound Pendulum
140
Angular Acceleration of a Compound Pendulum
141
Trains of Mechanism 76
143
Centripetal and Centrifugal Forces
164
Centrifugal Force at points of the Earths Surface
167
Centrifugal Force of Extended Masses
170
Principal Axes
172
Experimental Illustrations
173
Elevation of the Outer Rail of a Curved Track
175
The Mechanical Powers
177
The Governor
178
The Cord куку
179
Definition and Measure of Work
181
Work when the Power acts obliquely
182
Rotation
184
Accumulation of Work
186
Living Force of Revolving Bodies
188
Flywheels
189
Composition of Rotations
190
Application to the Gyroscope
193
CHAPTER VII
196
Pressure due to Weight
198
Centre of Pressure on a plain Surface
202
Buoyant effort of Fluids
206
Floating Bodies
207
Specific Gravity
209
Methods of finding Specific Gravity
211
Specific Gravity of a Soluble Body
212
Specific Gravity of Liquids
213
Specific Gravity of Air
214
Hydrometers
215
Scale Areometer
216
Volumeter
217
Densimeter
218
Centesimal Alcoometer of Gay Lussac
219
Thermometer
221
Velocity of a Liquid through small Orifice
224
Modification due to Extraneous Pressure
225
Spouting of Liquids on a Horizontal Plane
226
Coefficients of Efflux and Velocity
228
Efflux through Short Tubes
230
Capillary Phenomena
231
Elevation and Depression between Plates
232
Attraction and Repulsion of Floating Bodies
233
Applications of the Principles of Capillarity
234
Endosmose and Exosmose
235
CHAPTER VIII
237
Atmospheric Pressure
238
Mariottes Law
239
Gay Lussacs Law
242
Manometers
244
The closed Manometer
245
The Siphon Gauge
247
The Barometer
248
The Cistern Barometer
249
Uses of the Barometer
250
Difference of Level
251
Steam
256
Work of Steam
258
Work due to the Expansion of a Gas or Vapor
260
CHAPTER IX
262
Sucking and Forcing Pump
267
FireEngine
270
The Rotary Pump
271
The Hydrostatic Press
272
The Lever 78
273
The Siphon
275
The Wurtemburg Siphon
276
The Intermitting Siphon
277
The Hydraulic Ram
278
Archimedes Screw
280
The Air Pump
281
Artificial Fountains
284
Heros Fountain
285
WineTaster and DroppingBottle
286
The Atmospheric Inkstand
287
Waterwheels
288
Windmills
289
The SteamEngine
290
The Boiler and its Appendages
291
The Engine Proper
292
The Locomotive
294

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Page 296 - Mathematics, and is of the opinion that, as a whole, it is the most complete, and best course for Academic and Collegiate instruction, with which he is acquainted. From David N. Camp, State Superintendent of Common Scliools, Connecticut. I have examined Davies' Series of Arithmetics with some care.

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