# A Treatise on Elementary Dynamics, for the Use of Colleges and Schools

Deighton, Bell, 1889 - 320 páginas
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### Contenido

 Time 1 Acceleration 7 Parallelogram of Accelerations 15 Areal Velocity 21 Second Law of Motion 28 Independence of Forces 34 HorsePower and Energy 43 Examples on the Laws of Motion 54
 48 154 CHAPTER III 155 Range 158 Range on Inclined Plane 165 Envelope of System of Trajectories 171 Problems on Projectiles 177 CHAPTER IV 188 Direct Impact of Smooth Spheres 194

 Evidence for Laws of Motion 62 7 63 Examples of Change of Units 68 Unit of Length 78 Unit of Work 84 9 88 Transmission of Power by Belts 91 12 95 Examination 97 25 103 CHAPTER II 107 Space described during a Given Interval 114 Pressure of Shot on Target 122 Time of describing a Given Path 132 Examples of HorsePower 139 Examination 145
 Forces of Compression and Restitution 200 Continuous Impact 211 Kinetic Energy after Impact 218 Energy dissipated by Sudden Changes of Motion 224 51 237 CHAPTER V 243 Properties of the Cycloid 249 Cycloidal Pendulum 254 Centrifugal Force 261 Velocity of a Transverse Wave in a Stretched String 267 Initial Actions 273 Examination 279 CHAPTER VI 286 Velocity of Mean Square 293 Cooling produced by Expansion 299 ANSWERS 313

### Pasajes populares

Página 28 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Página 26 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by forces to change that state.
Página 251 - A particle starts from rest at any point in the arc of a smooth cycloid whose axis is vertical and vertex downwards ; to find the time of descent to the vertex. Let T be the point from which the particle starts. Through T draw TC parallel to AD, and let a second cycloid OA' be drawn, having its vertex at O and O0 for axis.
Página 141 - The total energy of any material system is a quantity which can neither be increased nor diminished by any action between the parts of the system, though it may be transformed into any of the forms of which energy is susceptible.
Página 88 - A numerical value - will vary inversely as /, and directly in the duplicate ratio of t. In other words, the unit of acceleration varies directly as the unit of length, and inversely as the square of the unit of time ; and the numerical value of a given acceleration varies inversely as the unit of length, and directly as the square of the unit of time. It will be observed that these have been deduced as direct consequences from the fact that [the numerical value of] an acceleration is equal to [the...
Página 306 - A ball is projected from the middle point of one side of a billiard-table, so as to strike in succession one of the sides adjacent to it, the side opposite to it, and a ball placed in the centre of the table ; shew that, if a and...
Página 181 - The earth's equatorial radius being 3962-5 miles, if a particle be allowed to fall from the top of a mast at the height of 100 feet above the deck of a ship, find where it will meet the deck. EXAMPLES ON CHAPTER III. 1. Determine the direction and velocity of projection that a shot may strike the ground after 16 seconds at a distance of 9000 feet from the point of projection. 2. A plane is inclined at an angle of 30° to the horizon : a particle is projected from a point in it in a direction making...
Página 5 - A denote a concrete acceleration such that the velocity V is gained in the time T, and let a denote the unit of acceleration. Then, since the numerical value of the acceleration A is the numerical value of the velocity V divided by the numerical value of the time...
Página 30 - The unit of force in this case is that force which acting on the mass of a pound for one second generates in it a...