The Mechanical Principals of Engineering And Architecture

Cover The Mechanical Principals of Engineering And Architecture
The Mechanical Principals of Engineering And Architecture
Moseley, Henry, 1801-1872
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cos. 9i In the case in which the surface EL yields, CH remaining fixed, observing that P,(^>=Il, tan. • (equation 29S), we have rinC+Y^.) (297).
* •coe.(i+9,)tan.i ^ ' Equiitions (296) and (297) may be placed respectively un- der toe forms U.=U.?l^^i±^{cot.(9.+0+ and U -XT ^^' ^^' "^^ ' ! ^ ^' ' "^^^' ^^' "^^^^ j * • sin. J ( cot. 9,— tan. i) tan. i ) * The value of Uj corresponding to a given value of U, is in tbe former equation a mmimtmk when i^^, and in the latter when UiB.i=\i/-. — ???L^?_
..._-1 ltan.{9,+0 TrortL the former of these equatloris it follows, that the work l^st'by friction (when the driving surface of the plane is its hypothenuse) is less as the inclination of die plane isgreate^r, or as its mechanical advantage is less.
244. A syistem of two movecMe inclined jplanee.
Let A and B represent two inclined planes^ t>f wMtif 'A Digitized by Google 818 ▲ BT6TEH OF TWO HOYKABLE INCLINED PLANBB.
rests upon a horizontal surface, and receives a horizontal motion from the action of the pressure P, ; com- municating to B a motion which is ^ _^^^ restricted to a vertical direction bv ^ ^-» — ^ p the resistance of the obstacle l5, which vertical motion of the plane is opposed by the pressure F, ap- pliea to its superior surface.


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