SamuwarKimiyya

Yanke shawara a kan muhimmancin matsaloli. D'Alembert ta qa'ida

A matsayin mai raba kimiyya na msar tambayar makanikai ne rukunan cewa unites dokokin general na inji motsi da kuma hulda da kayan jikinsu. A ci gaba da wannan kimiyya da aka asali samu kamar yadda kimiyyar lissafi sashe, shan a matsayin dalilin wani axiomatic, shi ne samuwa a raba reshe na kimiyyar yanayin halitta.

A bayani na matsaloli masu kuzarin kawo cikas a cikin tsarin na msar tambayar makanikai da batun ne ƙwarai Sauki amfani da d'Alembert manufa. Yana ta'allaka ne da cewa daidaita dukan aiki sojojin, wanda aiki a kan batu na inji tsarin, da kuma halayen da data kasance shaidu ne saboda shan la'akari da ake kira sojojin na inertia. Shifran, wannan yana bayyana a matsayin summation dukan abubuwa da aka jera a sama, wanda sakamakon haka ne sifili.

Sam D'Alembert Leron Jean (1717-1783) da aka sani zuwa ga duniya a matsayin wani babban malami, wanda ya samu gagarumar nasara, a fannoni da kimiyya. LISSAFI, makanikai, falsafa underwent bincike na tambayar hankali. A sakamakon ayyukan D'Alembert shãfe abu tsarin (D'Alembert ta qa'ida), ta kwatanta su bambanci lissafai, wato jawo sama dokoki. Jean Leron ta wajaba perturbation ka'idar da taurari, ya sadaukar da yawa da hankali ga nazarin da ka'idar jerin da bambanci lissafai, ilmin lissafi analysis. A kasar Faransa, D'Alembert zama wani girmamawa waje memba na St. Petersburg Academy of Sciences.

Yabo malamin kasar Faransa wanda ya ci gaba da manufa na warware hadaddun matsaloli na kuzarin kawo cikas, wanda kuma ake kira da sunansa, ya ta'allaka ne da cewa, godiya ta zuwa ga yin amfani da shawara na tsauri matakai da damar amfani da mafi sauki hanyoyin da ilimin kididdiga makanikai. Saboda da sauki da kuma kasancewa da wannan manufa (da manufa D'Alembert) ya samu m aikace-aikace a kan aikin injiniya yi.

Mun yi amfani da manufa na d'Alembert ga kayan batu

Kafa uniform m, da karatunsa da algorithm na guda inji tsarin taimaka manufa na D'Alembert. A wannan yanayin babu wani dogara a kan wani yanayi da hõre ta a ta motsi. Dynamic bambanci lissafai na motsi zuwa ga tsari na ma'auni lissafai. Alal misali, shan jarrabawa nonfree wasu kayan batu M wanda aka dauke da fitar da motsi tare da kwana AB a sakamakon mataki na aiki sojojin da resultant F, za a iya amfani da tsarin rubutu N for dauki karfi (tasiri kwana AB a M). Gabatar da wani karfi F, N, yã a cikin na asali lissafi kwatanta muhimmancin wani batu, mun samu wani convergent tsarin bayyanawa da ma'auni yanayin musamman tsarin. The darajar F bayyana mataki na sojojin na inertia kuma yana da wani mummunan darajar. Wannan shi ne yin amfani da d'Alembert manufa a cikin lissafin tare da girmamawa da kayan batu.

Ya kamata a lura da cewa tare da wannan tsarin kula da muke samu quite wani matukar lissafi bonding sojojin, an yi amfani da daidaita da sojojin na inertia daga cikin tsarin. Amma duk da wannan, d'Alembert manufa samar da wani m da kuma sauki bayani ga matsalolin da kuzarin kawo cikas.

Da ake ji da D'Alembert manufa ga inji tsarin

Bayan cimma wani sakamakon tabbatacce a cikin muhimmancin da matsala ga wani abu aya, za mu iya amince motsa a kan wani hadadden version of matsalar, wanda yayi amfani da manufa na d'Alembert ga inji tsarin.

A lissafi ga tsarin ne ba yawa daban-daban daga cikin lissafi domin auna. A muhimmanci bambanci ta'allaka ne da cewa lissafin ga inji tilasta tsarin a kowane lokaci ya shafi gano da resultant na dukan sojojin yawa na halayen da kuma dangantakar na ma'ana inertia sojojin.

Amfani da sama da hanyoyin da ka'idojin ba gudu counter ga ka'idar kimiyyar lissafi. A akasin wannan, ko idan wani rabo daga poached sauƙaƙe yanke hukunci. Wannan hanya bai bayyana fita daga babu inda, duk da manyan karshe su ne bisa ainihin dokoki na Newton, Jamus-Euler ka'idojin cewa samu sabon ci gaba a cikin ka'idodin d'Alembert.

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