Applied Mechanics

Capa
McGraw-Hill, 1917 - 244 páginas
 

Conteúdo

Resolution of a Force into Three Components
14
Resultant of Three or More Forces in Space Algebraically
15
Moment of a Force with Respect to a Point 21 Principle of Moments
17
Moment of a Force with Respect to a Line
18
General Problems
19
PARALLEL FORCES 23 Resultant of Two Parallel Forces Graphically
23
Resultant of Two Parallel Forces Algebraically
24
Resultant of Any Number of Parallel Forces Graphically 26 Resultant of Any Number of Parallel Forces Algebraically
26
Moment of a Couple 1 1 2233 4 4 4 5 56 7 8 10
29
13
34
18
37
19
38
Composition of Nonconcurrent Nonparallel Forces in a Plane
40
Composition of Nonconcurrent Nonparallel Forces in Space
49
The Catenary
56
24
63
27
64
CENTROIDS AND CENTER OF GRAVITY
65
Centroids of Surfaces and Solids of Revolution
73
ART PAGE 61 Rolling Resistance
89
Friction of Brake on Wheel Graphic Solution
90
Friction on Pivots
92
Friction of Belts
94
Summary of Principles of Friction
96
MOMENT OF INERTIA 66 Definition of Moment of Inertia of an Area
99
Radius of Gyration
100
Sign of Moment of Inertia
102
Relation Between Moments of Inertia with Respect to Three Rec tangular Axes
104
Moment of Inertia of Composite Areas
105
Moment of Inertia with Respect to Inclined Axes
106
Product of Inertia
107
Relation Between Products of Inertia with Respect to Parallel Axes
108
Maximum and Minimum Moments of Inertia
110
Moment of Inertia of Mass
111
Relation Between Moments of Inertia of Mass with Respect to Parallel Axes
113
Determination of Moment of Inertia by Experiment
115
General Problems
116
KINETICS CHAPTER VII RECTILINEAR MOTION 80 Velocity and Speed
119
Acceleration
120
Constant Acceleration
121
Falling Bodies Air Neglected
122
Relation Between Force Mass and Acceleration
124
DAlemberts Principle
125
Composition and Resolution of Velocities and Accelerations
128
Simple Harmonic Motion
129
Direct Solution
132
Motion in which Acceleration Varies Inversely as the Square of the Distance
133
Relative Motion
134
Static and Kinetic Friction
137
CURVILINEAR MOTION ART PAGE 91 Velocity in Curvilinear Motion
140
Tangential Acceleration and Normal Acceleration
141
Uniform Motion in a Circle
142
Constant Angular Acceleration
159
Variable Angular Acceleration
160
Moment of Tangential Effective Forces
161
Resultant of Normal Effective Forces
164
Reactions of Supports of Rotating Bodies
166
Compound Pendulum
169
Center of Percussion
171
Weighted Conical Pendulum Governor
172
Balancing of Rotating Bodies
173
Balancing of Bodies in the Same Plane Normal to the Axis of Rotation
174
Balancing of Bodies in Different Normal Planes
175
General Problems
176
COMBINED TRANSLATION AND ROTATION 115 Any Plane Motion Equivalent to Combined Translation and Rotation
179
Resolution of Velocities in Any Plane Motion
180
Resolution of Accelerations in Any Plane Motion
181
Instantaneous Axis
182
Equations of Motion
183
Wheel Rolling on Horizontal Plane
185
Wheel Rolling on Inclined Plane
186
Connecting Rod of Engine Graphic Solution
187
Kinetic Reactions on Connecting Rod
189
Kinetic Reactions on Side Rod
191
Kinetic Reaction on Unbalanced Wheel
192
Balancing Reciprocating Parts
193
ART PAGE 127 Balancing Both Rotating and Reciprocating Parts
195
General Problems
197
WORK AND ENERGY 129 Work
199
Graphical Representation of Work
201
Energy
202
Relation Between Work and Kinetic Energy
203
Kinetic Energy of Translation Forces Variable
205
Kinetic Energy of Rotation
208
Kinetic Energy of Rotation and Translation
210
Work Lost in Friction
211
Braking of Trains
213
Power
215
Water Power
216
Absorption Dynamometer
217
Band Brakes
219
General Problems
221
IMPULSE MOMENTUM AND IMPACT 144 Impulse and Momentum
223
Relation Between Impulse and Momentum
224
Conservation of Linear Momentum
225
Angular Impulse and Angular Momentum
226
Conservation of Angular Momentum
228
Resultant of Angular Momenta Gyroscope
230
Reaction of a Jet of Water
233
Sudden Impulse or Impact
235
General Problems
238
INDEX
241
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Página 3 - A force acting upon a body causes it to accelerate in the direction of the force, the acceleration being directly proportional to the force and inversely proportional to the mass of the body.
Página 25 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Página 113 - 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...
Página 19 - ... the product of the force and the perpendicular distance from, the force to the point.
Página 17 - Moment of a Force. — The moment of a force with respect to a point is the product of the force multiplied by the perpendicular distance from the given point to the direction of the force.
Página 99 - Defined in words, the Moment of Inertia of a plane area with respect to any axis is the sum of the products of each elementary area and the square of its distance from the inertia axis.
Página 29 - In consequence of this definition, the equations for determining the position of the centre of parallel forces shew that the sum of the moments of any number of parallel forces with respect to any plane is equal to the moment of their resultant.
Página 75 - ... is equal to the product of the area and the length of the path traced by the centroid of the area.
Página 201 - The erg is the unit of work in the cgs system, and is the work done by a force of 1 dyne acting through a distance of 1 centimetre, irrespective of the time occupied.
Página 103 - ... plus the product of the area and the square of the distance between the two axes.

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