(* Content-type: application/vnd.wolfram.mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 9.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 157, 7] NotebookDataLength[ 1684918, 29753] NotebookOptionsPosition[ 1671804, 29427] NotebookOutlinePosition[ 1672148, 29442] CellTagsIndexPosition[ 1672105, 29439] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["Foucaultovo nihalo", "Title", CellChangeTimes->{{3.5947219919401093`*^9, 3.594722002174537*^9}},ExpressionUUID->"1daefa52-6f45-45a7-97c8-\ 6f9089882c0a"], Cell[TextData[{ "Ena\[CHacek]be gibanja Foucaultovega nihala so sistem diferencialnih ena\ \[CHacek]b \n\n", Cell[BoxData[ FormBox[ RowBox[{ RowBox[{"m", " ", RowBox[{"D", "[", RowBox[{"\[Zeta]", ",", RowBox[{"{", RowBox[{"t", ",", "2"}], "}"}]}], "]"}]}], " ", "\[Equal]", " ", RowBox[{"(", " ", RowBox[{ RowBox[{ RowBox[{"-", "m"}], " ", "g", " ", RowBox[{"{", RowBox[{"0", ",", "0", ",", "1"}], "}"}]}], " ", "+", " ", "T", " ", "-", " ", RowBox[{"2", "m", " ", RowBox[{"Cross", "[", RowBox[{"\[Omega]", ",", RowBox[{"D", "[", RowBox[{"\[Zeta]", ",", "t"}], "]"}]}], "]"}]}]}], ")"}]}], TraditionalForm]],ExpressionUUID->"01d2a08b-373e-4be2-b12c-95fed147b3c6"], "\n\nz algebrai\[CHacek]nim pogojem ", Cell[BoxData[ FormBox["\[LeftDoubleBracketingBar]", TraditionalForm]],ExpressionUUID-> "8935ac0f-963b-4e75-89a2-008f0b779570"], Cell[BoxData[ FormBox[ RowBox[{"\[Zeta]", " ", "-", " ", RowBox[{"l", RowBox[{"{", RowBox[{"0", ",", "0", ",", "1"}], "}"}], RowBox[{"\[LeftDoubleBracketingBar]", RowBox[{"\[Equal]", " ", "l"}]}]}]}], TraditionalForm]],ExpressionUUID-> "7d6aa769-4a4f-4e90-bf8f-054352703db0"], "." }], "Text", CellChangeTimes->{{3.5947220234246073`*^9, 3.5947221717689514`*^9}, { 3.5947222292066774`*^9, 3.594722428598082*^9}, {3.594736361341278*^9, 3.5947364073612394`*^9}},ExpressionUUID->"4941898e-016b-43bd-a563-\ 3b253f998657"], Cell[CellGroupData[{ Cell["Brezdimenzijski zapis", "Section", CellChangeTimes->{{3.594722455035675*^9, 3.594722463707595*^9}, 3.5947225628329835`*^9},ExpressionUUID->"0485f084-e40d-4d09-abfc-\ 4a1962ec9c77"], Cell[TextData[{ "Ker bomo re\[SHacek]evali numeri\[CHacek]no, je ugodno ena\[CHacek]be \ gibanja zapisati v brezdimenzijski obliki. 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