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mTeli sxeulis inerciis momenti I udris sxeulis Semadgeneli n<br />
materialuri wertilebis (an elementebis) inerciis momentebis jams:<br />
I<br />
=<br />
2 [ I ] = kg ⋅m<br />
,<br />
44<br />
n<br />
∑<br />
i=<br />
1<br />
i i r m<br />
2<br />
2<br />
dim I = ML<br />
inerciis momenti warmoadgens sxeulis inertulobis zomas brunvis<br />
procesSi, iseve rogorc masa gadataniTi moZraobisas.<br />
masis uwyveti ganawilebis SemTxvevaSi<br />
Δmi<br />
→0<br />
2 2<br />
∑ Δmir<br />
= ∫ r dm = ∫<br />
2<br />
I = lim i<br />
ρ r dV<br />
sadac ρ -sxeulis simkvrivea, dV − moculobis elementi.<br />
Teorema brunvis RerZis gadatanis Sesaxeb _ Steineris Teorema: Tu<br />
m masis sxeulis inerciis momenti 0 I 0 I RerZis mimarT I , xolo C masaTa<br />
centrSi gamavali da 0I0I RerZis paraleluri 00 RerZis mimarT I c , maSin<br />
(nax. 27) maT Soris Semdegi damokidebulebaa:<br />
I = Ic<br />
+<br />
2<br />
ma<br />
sadac a manZilia 00 da 0 I 0 I RerZebs Soris<br />
nax. 27