Applied Mechanics, Volume 1

Couverture
John Wiley & sons, Incorporated, 1915
 

Table des matières

Resolution of Forces
10
Triangle of Forces
11
Principle of the Rectilinear Transference of Force in Rigid Bodies
12
CHAPTER II
16
Moment of the Resultant of any Number of Forces Acting through
22
Conditions of Equilibrium of a System of Parallel Forces
34
Problems Involving Systems of Forces Acting in the Same
40
Method of Sections
54
3 FORCES WHOSE LINES OF ACTION ARE NOT CONFINED
60
Characteristics of a Couple
69
Conditions of Equilibrium of any System of Forces
77
22
79
4 DISTRIBUTED FORCES
84
Problems Attraction at a Point
96
Determination of the Constant
105
Problems Centers of Gravity of Lines
112
Center of Gravity of a Slender Rod of Uniform Section and
119
Pappuss Theorems
125
CHAPTER IV
132
Summary of Formulas for Moments of Inertia of Areas
141
Product of Inertia
148
62
154
Relations between the Moments and Products of Inertia of
155
ART PAGE 127 Ellipse of Inertia
158
Problems Moments of Inertia about Inclined Axes
160
Moment of Inertia of a Solid
162
Units of Moments of Inertia of Solids
163
Radius of Gyration of a Solid
164
Relations between Moments of Inertia of Solids about Parallel Axes
165
Problems Deduction of Formulas for Moments of Inertia of Homogeneous Solids
167
Summary of Formulas for Moments of Inertia of Solids
172
Method of Determining Moments of Inertia of Solids by Dividing into Finite Parts
173
Problems Moments of Inertia of Solids
174
Product of Inertia of a Solid
175
Product of Inertia of a Solid when one of the Coördinate Planes is a Plane of Symmetry
177
Principal Moments of Inertia of Solids
178
CHAPTER V
180
Linear Velocity
181
Linear Acceleration
182
Angular Velocity
186
Angular Acceleration
187
Resolution and Composition of Velocities
189
Resolution and Composition of Accelerations
191
Momentum
194
Moment of Momentum
195
Centripetal and Centrifugal Forces
196
Work and Energy
198
Motion of a Particle under the Action of the Force of Gravity
199
Motion of a Particle on a Frictionless Inclined Plane under the Action of Gravity
200
Motion of a Particle along a Curve under the Action of Gravity
201
Simple Circular Pendulum
203
Simple Cycloidal Pendulum
205
Harmonic Motion
207
Units of Power
233
Power Diagram
234
Kinetic Energy of a System of Particles
236
Potential Energy
237
Conservative System
239
The Potential
242
Problems Work Energy Power
245
3 FRICTION 179 Sliding Friction
250
Laws of Sliding Friction
252
The Weight on the Inclined Plane
254
The Wedge
255
Axle Friction
256
Friction of an Axle Bearing at Two Elements
257
Friction of an Axle Bearing over a Surface
258
Pin Friction
260
Pivot Friction
261
Friction of Screw Threads
264
Friction Cones and Friction Discs
265
Belt Friction
266
Rope Drives
270
Maximum Power which can be Transmitted by a Belt or Rope
272
Rolling Friction
273
Weight on Rollers
275
Roller Bearing
276
Mechanical Efficiency
278
4 KINETICS OF RIGID BODIES HAVING PLANE MOTION ONLY 199 Motion of a Rigid Body
285
Translation of a Rigid Body
286
ART PAGE 203 Kinetic Energy of a Body having a Motion of Translation
289
Momentum of a Body having a Motion of Translation
290
Angular Momentum
302
Kinetic Energy of a Rotating Body
303
Centripetal and Centrifugal Forces
304
Interchangeability of the Center of Percussion and the Center of Rotation
305
Center of Oscillation
306
Rotation and Translation Combined Instantaneous Axes
307
Momentum Due to Combined Translation and Rotation
315
Kinetic Energy Due to Translation and Rotation Combined
316
Problems Kinetics of Rigid Bodies
317
5 IMPACT 215 Impact or Collision
347
Direct Central Impact
348
Coefficient of Restitution
349
Kinetic Energy of the Colliding Bodies
350
Experimental Determination of the Coefficient of Restitution
351
Oblique Central Impact
352
Direct Eccentric Impact
353
Loss of Energy
354
Oblique Eccentric Impact
355
Examples of Direct Central Impact
356
Recoil of a Gun
357
Ballistic Pendulum
358
Problems Impact
360
Droits d'auteur

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