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Trait茅 de m茅canique rationnelle comprenant la statique comme cas particulier ... - Charles de Freycinet - Google Livres
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On voit en outre que la position des points d\u0026#39;application des forces n\u0026#39;importe pas 脿 l\u0026#39;茅quilibre , et que cet 茅quilibre persiste , quelle que soit la\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA75\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA76","page_number":"76","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e , soit 茅gal 脿 la somme des moments de toutes les forces donn茅es . Il y a toujours int茅r锚t 脿 choisir la force unique de mani猫re 脿 ce que sa direction soit 脿 la fois perpendiculaire au rayon du cercle d茅crit par son point d\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA76\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA108","page_number":"108","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e du couple la longueur de 108 LIVRE V. - SOLIDES G脡OM脡TRIQUES .","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA108\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA109","page_number":"109","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e . On dit qu\u0026#39;un couple est double , triple , ... d\u0026#39;un autre lors- qu\u0026#39;il a m锚me \u003cb\u003ebras de levier\u003c/b\u003e , et que sa force est double , tri- ple , ... de la force de cet autre . L\u0026#39;unit茅 de couple adopt茅e est le couple qui a pour\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA109\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA110","page_number":"110","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e , les quatre forces 茅gales des deux couples se trouveront oppos茅es deux 脿 deux sur le m锚me point , et par suite se d茅truiront . 233 . - Proposition premi猫re . L\u0026#39;effet d\u0026#39;un couple sur un solide libre est de pro- duire une\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA110\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA111","page_number":"111","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e co茂ncident . Soit AB et CD , ces deux -P A I C 0 -P Fig . 60 . P D P \u003cb\u003ebras de leviers\u003c/b\u003e se coupant en leurs milieux 0 ; et P l\u0026#39;intensit茅 absolue commune aux quatre forces des deux couples . - Pour abr茅ger le H discours\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA111\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA115","page_number":"115","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e diff猫rent : car , si les \u003cb\u003ebras de levier\u003c/b\u003e 茅taient 茅gaux , les forces seraient 茅gales , d\u0026#39;apr猫s l\u0026#39;茅galit茅 suppos茅e des moments : on retomberait ainsi sur la propo- sition pr茅c茅dente . R AC 0 D -P -2 -R 1 Pour prouver le th茅o\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA115\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA116","page_number":"116","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e : car , BO et CO 茅tant respectivement 茅gaux 脿 la moiti茅 de A B et de CD , on a : CO : BO :: P : Q , en vertu de l\u0026#39;hypoth猫se faite sur les moments . Les deux forces - Pet - Qont de m锚me une r茅sultante unique , appliqu茅e au\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA116\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA117","page_number":"117","snippet_text":"... \u003cb\u003ebras\u003c/b\u003e in茅gaux la mesure adopt茅e d\u0026#39;abord pour les couples de m锚me \u003cb\u003ebras\u003c/b\u003e . 3o Autant de couples qu\u0026#39;on voudra , situ茅s ... \u003cb\u003elevier\u003c/b\u003e 茅gal 脿 l\u0026#39;unit茅 , peut actuelle- ment 锚tre remplac茅 par un couple de \u003cb\u003ebras\u003c/b\u003e et de force quel- conque , mais\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA117\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA118","page_number":"118","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e , et de ce qu\u0026#39;elles sont respectivement contenues dans les plans des couples . Actuellement la d茅monstration devient fort ais茅e : car soit I P A -Q -R B -P I Fig . 65 . Q A B le commun bras , pla- c茅 sur l\u0026#39;intersection II\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA118\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA120","page_number":"120","snippet_text":"... et la grandeur de son moment . Nous pouvons supposer , en vertu des propositions 11 et ut , que les deux couples ont 茅t茅 ramen茅s 脿 avoir la m锚me force - ( leurs \u003cb\u003ebras de levier\u003c/b\u003e 茅tant d猫s lors 120 SOLIDES G脡OM脡TRIQUES . LIVRE V. -","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA120\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA121","page_number":"121","snippet_text":"Charles de Freycinet. force - ( leurs \u003cb\u003ebras de levier\u003c/b\u003e 茅tant d猫s lors num茅riquement 茅gaux 脿 leurs moments ) - , et que ces bras sont plac茅s P P A D P I 0 K F E C -PM B -P -P L G Fig . 66 . perpendiculairement aux droites OL et OM , de\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA121\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA122","page_number":"122","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e et de la force du couple donn茅 . Il est visible que le moment de la projection d\u0026#39;un couple est 茅gal au mo- ment de ce couple multipli茅 par le cosinus de l\u0026#39;angle form茅 par son plan avec le plan de projection . Car , si l\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA122\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA123","page_number":"123","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e changeraient gra- duellement , on pourrait les envisager comme constants pen- dant un temps infiniment petit , et les th茅or猫mes pr茅c茅dents s\u0026#39;appliqueraient 脿 chacun de ces temps 茅l茅mentaires . C\u0026#39;est le TH脡ORIE DES COUPLES\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA123\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA124","page_number":"124","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e est 茅gal 脿 la distance du point choisi 脿 la force en question . R茅p茅tant la m锚me op茅ration pour chacune des autres forces du solide , et les rapportant toujours au m锚me point , on rem- place le groupe entier de ces forces\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA124\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA127","page_number":"127","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e . La d茅monstration est des plus simples ; car soit A B ( P , 鈥擯 ) un couple quelconque , et O un point situ茅 dans son plan . 螤 0 -P I Pour former les moments des forces Pet - P par rapport au point O , il faut mener la\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA127\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA147","page_number":"147","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e est forc茅ment nul , par suite de ce que le d茅- placement co茂ncide avec la direction de la force transport茅e . 247. - Les r茅sultats qui pr茅c猫dent conviennent mani- festement au syst猫me plan茅taire , qui n\u0026#39;a aucun point fixe\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA147\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA243","page_number":"243","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e oblique G\u0026#39;渭 , en d茅- signant par 渭 la rencontre de H\u0026#39;K \u0026#39; avec A\u0026#39;B \u0026#39; . La r茅sultante P - P \u0026#39; a 茅videmment pour effet d\u0026#39;abaisser le centre de gra- vit茅 , c\u0026#39;est - 脿 - dire de faire descendre tout le corps parall猫le- ment 脿\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA243\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA416","page_number":"416","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e , en sorte que cette proposition s\u0026#39;茅nonce en disant que , dans l\u0026#39;茅qui- libre , les forces sont en raison inverse de leurs \u003cb\u003ebras de levier\u003c/b\u003e . On peut dire aussi que les moments des forces sont 茅gaux . Ce r茅sultat fort simple\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA416\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA418","page_number":"418","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e des forces . Ainsi la relation consistant en ce que les intensit茅s des deux forces sont en raison inverse de leurs \u003cb\u003ebras de levier\u003c/b\u003e est toujours vraie , pourvu que , suivant la d茅finition d茅j脿 donn茅e au n 掳 89 , on continue\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA418\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA423","page_number":"423","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e 茅gaux AI et BI . D猫s lors pour peser un corps plac茅 sur l\u0026#39;un des plateaux , il suffit de mettre sur l ... \u003cb\u003ebras de levier\u003c/b\u003e B\u0026#39;D \u0026#39; est plus grand que le bras A\u0026#39;C \u0026#39; . Car , si nous concevons men茅e par I \u0026#39; une verticale\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA423\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA426","page_number":"426","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e sur celui de l\u0026#39;autre plateau augmenterait en propor- tion m锚me de l\u0026#39;abaisse- ment d茅j脿 produit . C\u0026#39;est ce dont on se convaincrait ais茅ment en refaisant , pour cette nouvelle forme de fl茅au , la construction g茅om茅trique\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA426\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA427","page_number":"427","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e est plus pe- tit que l\u0026#39;autre , la force qui agit sur ce bras doit 锚tre plus grande . Donc , apr猫s la transposition , l\u0026#39;茅quilibre sera n茅ces- sairement rompu , puisque la plus grande force se trouvera d猫s lors appliqu茅e au\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA427\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA428","page_number":"428","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e Ak et Bh , c\u0026#39;est - 脿 - dire en rai- son inverse de Lsino et de Icoso ; en d茅signant par l\u0026#39;angle AOK et Q par Letlles longueurs OA et O B. On a donc P. L sinq = Q. / coso , d\u0026#39;o霉 ( 4 ) P.L tang q = Q. 1 ; en sorte que l\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA428\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA429","page_number":"429","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e perpendiculaire 脿 l\u0026#39;axe , et suivant la tangente 脿 la circonf茅rence d茅crite par le point d\u0026#39;application . La r茅sistance agit au contraire dans le sens de l\u0026#39;axe . Pour l\u0026#39;une et l\u0026#39;autre de ces deux forces , le chemin par\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA429\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA430","page_number":"430","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e , c\u0026#39;est - 脿 - dire 2R , en d茅signant par R ce bras . Quant au che- min parcouru par la r茅sistance , il est 茅videmment 茅gal 脿 l\u0026#39;enfoncement de la vis qui correspond 脿 un tour de spire du filet , ou 脿 ce qu\u0026#39;on nomme le pas\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA430\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA431","page_number":"431","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e de la puissance . Ordinairement ce dernier \u003cb\u003ebras de levier\u003c/b\u003e est limit茅 par les exigences de la pratique , qui ne permettent pas de solliciter la vis au moyen de tiges trop longues . Alors il suffira de r茅- duire i , c\u0026#39;est\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA431\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA432","page_number":"432","snippet_text":"... \u003cb\u003elevier\u003c/b\u003e dont les deux \u003cb\u003ebras\u003c/b\u003e soient repr茅sent茅s par a et b , et que nous appliquions normale- ment 脿 ces \u003cb\u003ebras\u003c/b\u003e les forces Pet Q , la relation d\u0026#39;茅quilibre de ce \u003cb\u003elevier\u003c/b\u003e sera P Q b = Pour que cette 茅quation devienne identique 脿 la pr茅c茅dente\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA432\u0026vq=bras+de+levier\u0026hl=fr"},{"page_id":"PA433","page_number":"433","snippet_text":"... \u003cb\u003ebras de levier\u003c/b\u003e soit 茅gal 脿 celui des espaces 茅l茅mentaires parcourus . Si donc on construit un levier dont les bras satisfassent 脿 cette condition , la relation d\u0026#39;茅quilibre de ce levier sera la m锚me que celle de la machine . De l脿 on\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA433\u0026vq=bras+de+levier\u0026hl=fr"}],"search_query_escaped":"bras de levier"},{});</script></div></div></div><script>(function() {var href = window.location.href;if (href.indexOf('?') !== -1) {var parameters = href.split('?')[1].split('&');for (var i = 0; i < parameters.length; i++) {var param = parameters[i].split('=');if (param[0] == 'focus') {var elem = document.getElementById(param[1]);if (elem) {elem.focus();}}}}})();</script>