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lehrkraefte:blc:math:vektoranalysis:jahrmarkt [2018/09/28 14:06] Ivo Blöchliger |
lehrkraefte:blc:math:vektoranalysis:jahrmarkt [2018/09/28 14:17] (current) Ivo Blöchliger [Berg und Tal Bahn] |
<code> | <code> |
| |
</code> | |
/* K0 */ | /* K0 */ |
o0:[0,0,0]; | o0:[0,0,0]; |
}\over{5}}\right)\,\cos \left({{\pi\,\cos \left({{6\,\pi\,t}\over{5 | }\over{5}}\right)\,\cos \left({{\pi\,\cos \left({{6\,\pi\,t}\over{5 |
}}\right)}\over{36}}\right)\right)+2 \right] $$ | }}\right)}\over{36}}\right)\right)+2 \right] $$ |
| Beschleunigung: |
| $$\left[ 5\,\left({{\pi^4\,\sin \left({{\pi}\over{12}}\right)\,\sin ^ |
| 2\left({{6\,\pi\,t}\over{5}}\right)\,\sin \left({{\pi\,\cos \left({{ |
| 6\,\pi\,t}\over{5}}\right)}\over{36}}\right)}\over{900}}-{{2\,\pi^3 |
| \,\cos \left({{\pi}\over{12}}\right)\,\sin \left({{2\,\pi\,t}\over{5 |
| }}\right)\,\sin \left({{6\,\pi\,t}\over{5}}\right)\,\sin \left({{\pi |
| \,\cos \left({{6\,\pi\,t}\over{5}}\right)}\over{36}}\right)}\over{75 |
| }}+{{\pi^3\,\cos \left({{\pi}\over{12}}\right)\,\cos \left({{2\,\pi |
| \,t}\over{5}}\right)\,\cos \left({{6\,\pi\,t}\over{5}}\right)\,\sin |
| \left({{\pi\,\cos \left({{6\,\pi\,t}\over{5}}\right)}\over{36}} |
| \right)}\over{25}}-{{\pi^4\,\cos \left({{\pi}\over{12}}\right)\, |
| \cos \left({{2\,\pi\,t}\over{5}}\right)\,\sin ^2\left({{6\,\pi\,t |
| }\over{5}}\right)\,\cos \left({{\pi\,\cos \left({{6\,\pi\,t}\over{5 |
| }}\right)}\over{36}}\right)}\over{900}}+{{\pi^3\,\sin \left({{\pi |
| }\over{12}}\right)\,\cos \left({{6\,\pi\,t}\over{5}}\right)\,\cos |
| \left({{\pi\,\cos \left({{6\,\pi\,t}\over{5}}\right)}\over{36}} |
| \right)}\over{25}}-{{4\,\pi^2\,\cos \left({{\pi}\over{12}}\right)\, |
| \cos \left({{2\,\pi\,t}\over{5}}\right)\,\cos \left({{\pi\,\cos |
| \left({{6\,\pi\,t}\over{5}}\right)}\over{36}}\right)}\over{25}} |
| \right) , {{2\,\pi^3\,\cos \left({{2\,\pi\,t}\over{5}}\right)\,\sin |
| \left({{6\,\pi\,t}\over{5}}\right)\,\sin \left({{\pi\,\cos \left({{6 |
| \,\pi\,t}\over{5}}\right)}\over{36}}\right)}\over{15}}+{{\pi^3\, |
| \sin \left({{2\,\pi\,t}\over{5}}\right)\,\cos \left({{6\,\pi\,t |
| }\over{5}}\right)\,\sin \left({{\pi\,\cos \left({{6\,\pi\,t}\over{5 |
| }}\right)}\over{36}}\right)}\over{5}}-{{\pi^4\,\sin \left({{2\,\pi\, |
| t}\over{5}}\right)\,\sin ^2\left({{6\,\pi\,t}\over{5}}\right)\,\cos |
| \left({{\pi\,\cos \left({{6\,\pi\,t}\over{5}}\right)}\over{36}} |
| \right)}\over{180}}-{{4\,\pi^2\,\sin \left({{2\,\pi\,t}\over{5}} |
| \right)\,\cos \left({{\pi\,\cos \left({{6\,\pi\,t}\over{5}}\right) |
| }\over{36}}\right)}\over{5}} , 5\,\left({{\pi^4\,\cos \left({{\pi |
| }\over{12}}\right)\,\sin ^2\left({{6\,\pi\,t}\over{5}}\right)\,\sin |
| \left({{\pi\,\cos \left({{6\,\pi\,t}\over{5}}\right)}\over{36}} |
| \right)}\over{900}}+{{2\,\pi^3\,\sin \left({{\pi}\over{12}}\right)\, |
| \sin \left({{2\,\pi\,t}\over{5}}\right)\,\sin \left({{6\,\pi\,t |
| }\over{5}}\right)\,\sin \left({{\pi\,\cos \left({{6\,\pi\,t}\over{5 |
| }}\right)}\over{36}}\right)}\over{75}}-{{\pi^3\,\sin \left({{\pi |
| }\over{12}}\right)\,\cos \left({{2\,\pi\,t}\over{5}}\right)\,\cos |
| \left({{6\,\pi\,t}\over{5}}\right)\,\sin \left({{\pi\,\cos \left({{6 |
| \,\pi\,t}\over{5}}\right)}\over{36}}\right)}\over{25}}+{{\pi^4\, |
| \sin \left({{\pi}\over{12}}\right)\,\cos \left({{2\,\pi\,t}\over{5}} |
| \right)\,\sin ^2\left({{6\,\pi\,t}\over{5}}\right)\,\cos \left({{\pi |
| \,\cos \left({{6\,\pi\,t}\over{5}}\right)}\over{36}}\right)}\over{ |
| 900}}+{{\pi^3\,\cos \left({{\pi}\over{12}}\right)\,\cos \left({{6\, |
| \pi\,t}\over{5}}\right)\,\cos \left({{\pi\,\cos \left({{6\,\pi\,t |
| }\over{5}}\right)}\over{36}}\right)}\over{25}}+{{4\,\pi^2\,\sin |
| \left({{\pi}\over{12}}\right)\,\cos \left({{2\,\pi\,t}\over{5}} |
| \right)\,\cos \left({{\pi\,\cos \left({{6\,\pi\,t}\over{5}}\right) |
| }\over{36}}\right)}\over{25}}\right)-9.81 \right] $$ |
| |
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