. A manual of the principles and practice of road-making: comprising the location, consruction, and improvement of roads (common, macadam, paved, plank, etc.) and rail-roads . ^, or the weight of the wagon and its load. It isequivalent, in magnitude and direction, to its two rectangularcomponent forces, CB and BA. CB will then represent theforce with which the wagon presses on the surface of the road,and AB the resisting force of gravity, i. e., the force (inde-. LOSS OF POWER ON INCLINATIONS. 33 pendent of friction) which resists the ascent of the wagon, orwhich tends to drag it down hill. To
. A manual of the principles and practice of road-making: comprising the location, consruction, and improvement of roads (common, macadam, paved, plank, etc.) and rail-roads . ^, or the weight of the wagon and its load. It isequivalent, in magnitude and direction, to its two rectangularcomponent forces, CB and BA. CB will then represent theforce with which the wagon presses on the surface of the road,and AB the resisting force of gravity, i. e., the force (inde-. LOSS OF POWER ON INCLINATIONS. 33 pendent of friction) which resists the ascent of the wagon, orwhich tends to drag it down hill. To find the amount of this force, from the two similar tri-angles, ABC and DEF, we get the proportion CA : AB : : DE : EF. Representing the length of the plane by I, its height by A,and the iveight of the wagon and load by W, this proportionbecomes W : AB : : / : A, whence AB=W-T ; that is, the resistance of gravity due to the inclination, is equal to the whole weight, multiplied by theheight of the plane and divided by its length. If the inclina-tion be one in twenty, then this resistance is equal to -Jg- W. In this investigation, we have neglected three trifling sourcesof error : arising from part of the weight being thrown fromthe front axles to the hind ones, in consequence of the inclina-tion of the traces ; from the diminution of the pressure ofthe weight, owing to its standing on an inclined surface ; andfrom the hind wheels bearing more than half of
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Keywords: ., bookcentury1800, bookdecade1850, booksubjectrailroa, bookyear1853
