The Principles of Mechanics ...: To which is Now Added, an Appendix; Containing Explanatory Notes, Illustrations, and Observations. A New Edition, with Important Corrections ...Knight and Lacey at the James Watt, 1825 - 318 pages |
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Page 34
... PINIONS , OR TRUNDLES , TO THE PRODUCT OF ALL THE DIAMETERS OF ALL THE WHEELS , THEY WILL BE IN EQUILIBRIO . For , ( by Prop . XXIV . ) the power P acting at A : force on B :: diam . B diam . A , and force on B or C force on D :: diam ...
... PINIONS , OR TRUNDLES , TO THE PRODUCT OF ALL THE DIAMETERS OF ALL THE WHEELS , THEY WILL BE IN EQUILIBRIO . For , ( by Prop . XXIV . ) the power P acting at A : force on B :: diam . B diam . A , and force on B or C force on D :: diam ...
Page 35
... pinion that act against one another are as the circumferences or as the diameters of that wheel and pinion . Cor . 3. And hence also , if the power be to the weight , in a ratio compounded of the diameter of the axle F , where the ...
... pinion that act against one another are as the circumferences or as the diameters of that wheel and pinion . Cor . 3. And hence also , if the power be to the weight , in a ratio compounded of the diameter of the axle F , where the ...
Page 144
... pinion at A , and a straight ruler with teeth , which bite one another . PROP . CXI . BY HELP OF ONE UNIFORM MOTION GIVEN , TO PRODUCE ANOTHER , EITHER UNIFORM OR ACCELERATED . 1. A uniform motion is produced in the wheel DEF , ( Fig ...
... pinion at A , and a straight ruler with teeth , which bite one another . PROP . CXI . BY HELP OF ONE UNIFORM MOTION GIVEN , TO PRODUCE ANOTHER , EITHER UNIFORM OR ACCELERATED . 1. A uniform motion is produced in the wheel DEF , ( Fig ...
Page 146
... pinion L , to keep the pendulum going . 3. A pendulum may also be applied thus , for the same purpose . FG ( Fig . 4. Pl . XVI . ) is a thick wheel , or rather a double wheel , whose axis is parallel to the horizon . nP a pendulum ...
... pinion L , to keep the pendulum going . 3. A pendulum may also be applied thus , for the same purpose . FG ( Fig . 4. Pl . XVI . ) is a thick wheel , or rather a double wheel , whose axis is parallel to the horizon . nP a pendulum ...
Page 151
... pinion of each axis , beginning at the power , to the number of teeth in each wheel they work in , till you come at the weight . Or , instead of the teeth , you may take their diameters . PROP . CXVI . IF THE POWER AND WEIGHT BE IN ...
... pinion of each axis , beginning at the power , to the number of teeth in each wheel they work in , till you come at the weight . Or , instead of the teeth , you may take their diameters . PROP . CXVI . IF THE POWER AND WEIGHT BE IN ...
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The Principles of Mechanics ...: To Which Is Now Added, an Appendix ... William Emerson No preview available - 2016 |
Common terms and phrases
Anemoscope angle angular velocity arch axis axle beam body centre of gravity circle circumference cord curve cycloid cylinder density descend diameter distance divided draw drawn engine epicycloid equal equilibrio EXAMPLE fall feet fixed fluid force acting force applied friction fulcrum given going greater Hence hole horizontal inches inclined plane iron latus rectum length lever machine mechanical moveable number of teeth oblique parabola parallel particle pendulum perpendicular pinion pipe piston placed plate pounds pressure Prop proportion pulley pump quantity of matter quantity of motion radius raise reciprocally resistance rest right line roller rope round sails SCHOLIUM screw shew side sine spaces described specific gravity spring square stone strength stress strike suppose surface tooth tube turn valve velocity vessel vibrating vis viva water wheel weight wheel whilst whole wind wood
Popular passages
Page xxv - And he made in Jerusalem engines, invented by cunning men, to be on the towers and upon the bulwarks, to shoot arrows and great stones withal.
Page 155 - ... provided the elbow of one of the handles be at right angles to that of the other. And with a fly, or heavy wheel, applied to it, a man may do...
Page 131 - To shew that the resultant thrust on any plane surface under fluid pressure is equal to the weight of a column of the fluid whose base is the area of the surface and whose height is the depth of the centre of gravity of the surface.
Page xvii - Being preceded and led by- a boy, hired for that purpose, he crawled in slow and solemn state, at the rate of a mile and a half in an hour, till in due time he arrived at Darlington, and was conducted, in the same state, to the great entertainment of the spectators, through the streets to the inn where he wished to refresh himself and his beast. What idea Emerson himself entertained of the velocity with which the animal could move, appears from this, that when a neighbour of his, from Hurworth, asked...
Page 110 - ... in a few hours. Now, the weight of a column of air of the height of the atmosphere is equal to that of a column of mercury twenty-eight inches high, or of a column of water of the height of about thirty-three feet.
Page xxv - Force is a power exerted on a body to move it. If it act but for a moment, it is called the force of percussion or impulse. If it act constantly, it is called an accelerative force.
Page 50 - If a line be drawn from the centre of gravity of a body perpendicular to the horizon, it is called the line of direction, because it is the line that the centre of gravity would describe if the body fell freely.
Page 44 - For since the time of vibration is to the time of descent through half the length of the pendulum, as the circumference of a circle to its diameter, that is, as 3.14159 to 1?
Page 14 - The motions of bodies included in a given space are the same among themselves, whether that space is at rest, or moves uniformly forward in a right line without any circular motion.
Page 99 - ... the great limbs is stronger than that of the small ones, and the wood in the heart of a sound tree is strongest of all. I have also found by experience, that a piece of timber, which has borne a great weight for a small time, has broke with a far less weight, when left upon it for a far longer time.