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https://texercises.com/exercise/matura-m-teil-1-rollrennen/
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Exercise:
Was rollt schneller eine schiefe Ebene hinuter -- eine Kugel oder ein Zylinder?

Solution:
tikzpicture scopescale. rotat filldrawcolorred fillorange!!white -- arc::---cycle nodexshiftcmyshift.cmvartheta; filldrawcolorblack fillblack!!white circle cm; draw opacity. dotted rectangle +.-; draw line width.pt -- +; draw - ultra thick red -- +- nodeanchorsouth eastsscFN; draw - ultra thick blue -- +. nodeanchor westsscFparallel; draw - ultra thick green -- +.- nodebelowsscFG; draw - line width .pt orange. -- . nodexshift-.cm yshift -.cmr; filldraw circle pt; scope tikzpicture alpha fracMJ fracrsscFparallelJ fracr mg sinthetasscJK + mr^ Für schlupffreies ohne gleiten Rollen: a ralpha g sintheta fracmr^sscJK + mr^ Je kleiner das Trägheitsmoment desto schneller unten: Kugel frac vor Zylinder frac. bf Vergleich mit Quader: schneller a_q g sintheta g sintheta fracmr^J_K + mr^ a tikzpicture scopescale. rotat filldrawcolorred fillorange!!white -- arc::---cycle nodexshiftcmyshift.cmvartheta; filldrawcolorblack fillblack!!white rectangle ; draw line width.pt -- +; draw opacity. dotted rectangle +.-; draw - ultra thick red -- +- nodeanchorsouth eastsscFN; draw - ultra thick blue -- +. nodeanchor westsscFparallel; draw - ultra thick green -- +.- nodeanchorbelowsscFG; filldraw circle pt; scope tikzpicture
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\(\LaTeX\)-Code
Exercise:
Was rollt schneller eine schiefe Ebene hinuter -- eine Kugel oder ein Zylinder?

Solution:
tikzpicture scopescale. rotat filldrawcolorred fillorange!!white -- arc::---cycle nodexshiftcmyshift.cmvartheta; filldrawcolorblack fillblack!!white circle cm; draw opacity. dotted rectangle +.-; draw line width.pt -- +; draw - ultra thick red -- +- nodeanchorsouth eastsscFN; draw - ultra thick blue -- +. nodeanchor westsscFparallel; draw - ultra thick green -- +.- nodebelowsscFG; draw - line width .pt orange. -- . nodexshift-.cm yshift -.cmr; filldraw circle pt; scope tikzpicture alpha fracMJ fracrsscFparallelJ fracr mg sinthetasscJK + mr^ Für schlupffreies ohne gleiten Rollen: a ralpha g sintheta fracmr^sscJK + mr^ Je kleiner das Trägheitsmoment desto schneller unten: Kugel frac vor Zylinder frac. bf Vergleich mit Quader: schneller a_q g sintheta g sintheta fracmr^J_K + mr^ a tikzpicture scopescale. rotat filldrawcolorred fillorange!!white -- arc::---cycle nodexshiftcmyshift.cmvartheta; filldrawcolorblack fillblack!!white rectangle ; draw line width.pt -- +; draw opacity. dotted rectangle +.-; draw - ultra thick red -- +- nodeanchorsouth eastsscFN; draw - ultra thick blue -- +. nodeanchor westsscFparallel; draw - ultra thick green -- +.- nodeanchorbelowsscFG; filldraw circle pt; scope tikzpicture
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Attributes & Decorations
Tags
drehmoment, kugel, matura, mechanik, mündlich, pam, physik, rollen, schiefe ebene, trägheitsmoment, werfen, wettrennen, wurf, zielen, zw, zylinder
Content image
Difficulty
(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration
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Link