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meqanikis fizikuri safuZvlebi 1. kinematika materiis moZraobis umartivesi saxea meqanikuri moZraoba. am moZraobis dros xdeba materialuri sxeulebis, an maTi nawilebis mdgomareobis Secvla (gadanacvleba) sivrceSi da droSi. klasikur (niutonis) meqanikaSi miRebulia, rom sivrces gaaCnia sami ganzomileba da masSi samarTliania evklides geometria. 1.1. aTvlis sxeuli. aTvlis sistema sxeulis mdebareobis gansazRvra SesaZlebelia mxolod sxva sxeulebis mimarT. sxeuls, romlis mimarTac ganisazRvreba mocemuli sxeulis mdebareoba, aTvlis sxeuli ewodeba. aTvlis sxeuli, masTan xistad dakavSirebuli koordinatTa sistema da drois gamzomi xelsawyo (saaTi), Seadgenen aTvlis sistemas. fizikaSi sargebloben dekartes marTkuTxa koordinatTa sistemiT (nax.1), romelSic nebismieri A wertili xasiaTdeba x,y,z koordinatebiT an radius _ veqtoriT. r = OA. radius- veqtori aerTebs erTmaneTTan O koordinatTa saTaves A wertilTan. nax. 1. 1.2. materialuri wertilis kinematika. traeqtoria meqanikis nawils, romelic Seiswavlis sxeulebis moZraobas gamomwvevi mizezebisagan damoukideblad, kinematika ewodeba. 11

sxeulis umartivesi fizikuri modelia materialuri wertili. materialuri, anu nivTieri wertili ewodeba iseT sxeuls, romlis zoma SeiZleba ugulvebelvyoT mocemuli amocanis pirobebSi. materialuri wertilis moZraobisas misi koordinatebi icvlebian drois ganmavlobaSi da drois yovel moments Seesabameba x, y, z-is garkveuli mniSvneloba, e.i. koordinatebi warmoadgenen drois funqciebs, rac Semdegnairad Caiwereba: x=f1(t), y=f2(t), z=f3(t), (1) radius-veqtori agreTve drois funqciaa r = r(t) (2) Tu cnobilia (1) funqciebis, an veqtoruli (2) funqciis saxe, maSin cnobili iqneba wertilis mdebareoba drois yovel momentSi, rac meqanikis ZiriTadi amocanaa. (1) sam gantolebas, an maT eqvivalenturs (2) kinematikuri gantolebebi ewodebaT. (1) gantolebebidan SeiZleba miviRoT traeqtoriis gantoleba, e.i. im mrudis gantoleba, romelsac aRwers materialuri wertili moZraobisas. traeqtoriis formis mixedviT moZraoba SeiZleba iyos wrfivi an mrudwiruli. damoukidebel koordinatTa ricxvs, romlebic gansazRvraven wertilis mdebareobas sivrceSi, Tavisuflebis xarisxi ewodeba. Tu materialuri wertili sivrceSi Tavisuflad moZraobs, maSin mas gaaCnia sami Tavisuflebis xarisxi (koordinatebi x,y,z), sibrtyeze moZraobisas _ ori, xolo wrfis gaswvriv moZraobisas _ erTi. ganvixiloT materialuri wertilis moZraoba nebismier traeqtoriaze, mag. (AB) (nax. 2). nax. 2 12

meqanikis fizikuri safuZvlebi<br />

1. kinematika<br />

materiis moZraobis umartivesi saxea meqanikuri moZraoba. am<br />

moZraobis dros xdeba materialuri sxeulebis, an maTi nawilebis<br />

mdgomareobis Secvla (gadanacvleba) sivrceSi da droSi. klasikur<br />

(niutonis) meqanikaSi miRebulia, rom sivrces gaaCnia sami ganzomileba da<br />

masSi samarTliania evklides geometria.<br />

1.1. aTvlis sxeuli. aTvlis sistema<br />

sxeulis mdebareobis gansazRvra SesaZlebelia mxolod sxva<br />

sxeulebis mimarT. sxeuls, romlis mimarTac ganisazRvreba mocemuli<br />

sxeulis mdebareoba, aTvlis sxeuli ewodeba. aTvlis sxeuli, masTan<br />

xistad dakavSirebuli koordinatTa sistema da drois gamzomi xelsawyo<br />

(saaTi), Seadgenen aTvlis sistemas. fizikaSi sargebloben dekartes<br />

marTkuTxa koordinatTa sistemiT (nax.1), romelSic nebismieri A wertili<br />

xasiaTdeba x,y,z koordinatebiT an radius _ veqtoriT. r = OA.<br />

radius-<br />

veqtori aerTebs erTmaneTTan O koordinatTa saTaves A wertilTan.<br />

nax. 1.<br />

1.2. materialuri wertilis kinematika. traeqtoria<br />

meqanikis nawils, romelic Seiswavlis sxeulebis moZraobas<br />

gamomwvevi mizezebisagan damoukideblad, kinematika ewodeba.<br />

11

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