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
Resultant of Parallel Forces
41
Composition of Forces in Space applied at points invariabiy
47
Centre of Gravity of a Triangle
53
Pressure of one Body on another
67
CHAPTER IV
74
The Compound Lever
81
Art PAGE 68 The Common Balance
83
The Steelyard
85
The Bent Lever Balance
86
Compound Balances
87
The Inclined Plane
89
The Pulley
92
Single Movable Pulley
93
Combination of Movable Pulleys
94
Combinations of Pulleys in Blocks
95
The Wheel and Axle
96
Combinations of Wheels and Axles
97
The Crank and Axle or Windlass
98
The Capstan
99
Wheelwork
101
The Screw
103
The Differential Screw
105
The Endless Screw
106
The Wedge
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
Limiting Angle of Resistance
113
Friction on an Axle
115
Resistance to Rolling
116
Work of Friction
117
Stiffness of Cords
118
CHAPTER V
119
Uniformly Varied Motion
120
Application to Falling Bodies
121
Motion of Bodies projected vertically upward
124
Restrained Vertical Motion
126
Atwoods Machine
127
Art PAGE 108 Motion of Bodies on Inclined Planes
129
Motion of a Body down a succession of Inclined Planes
133
Periodic Motion
134
Angular Velocity and Angular Acceleration
135
The Simple Pendulum
136
De lAmberts Principle
139
The Compound Pendulum
140
Angular Acceleration of a Compound Pendulum
141
Length of an Equivalent Simple Pendulum
143
Reciprocity of Axes of Suspension and Oscillation
144
Practical Application of the Pendulum
147
Harrisons Gridiron Pendulum
148
Basis of a System of Weights and Measures
149
Centre of Percussion
151
Moment of Inertia
152
Centre and Radius of Gyration
155
CHAPTER VI
157
Centripetal and Centrifugal Forces
164
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 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 269 - The resistance which is opposed to a pump rod in raising water, is ~equal to the weight of a column of water whose base is the area of the piston, and...
Page 12 - But at last, when it is brought to the test of close reasoning, there is not even that thin decoction of it left. It is a presumption impossible in the domain of thought. It is precisely no other than the putting of that most unphilosophical proposition, that two bodies can occupy the same space at the same time.
Page 151 - Hence, the moment of inertia of a body with respect to any axis is equal to the moment of inertia with respect to a parallel axis through the...
Page 35 - Hence, the moment of the resultant of two forces is equal to the algebraic sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces.— We have thus far considered forces acting upon a single particle, or upon one point of a body. If, how- Fia 33...
Page 150 - ... must be measured on a line at right angles to the direction of the force. Moment of Inertia. The moment of inertia of a body, with respect to an axis, is the sum of the products obtained by multiplying the mass of each elementary particle by the square of its distance from the axis; hence, the moment of inertia of the same body varies according to the position of the axis.

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