From 8f7dba99b7d6899e3277ab05176a025ba2e65af7 Mon Sep 17 00:00:00 2001 From: Daniel Bulant Date: Tue, 9 May 2023 12:34:46 +0200 Subject: [PATCH] vault backup: 2023-05-09 12:34:46 --- .../obsidian-activity-history/data.json | 18 +++++- .../various-complements/histories.json | 1 + notes/.obsidian/workspace.json | 58 +++++++++--------- .../literatura/slohy/Realismus/Realismus.md | 1 + .../cjl/literatura/slohy/Realismus/Rozchod.md | 4 ++ notes/data/Pasted image 20230503211421.png | Bin 0 -> 35347 bytes notes/data/Pasted image 20230509115436.png | Bin 0 -> 81394 bytes notes/data/Pasted image 20230509115446.png | Bin 0 -> 71533 bytes notes/data/Pasted image 20230509115651.png | Bin 0 -> 64755 bytes notes/fyz/pohyb/Periodický a kmitavý/Fáze.md | 31 ++++++++++ .../Periodický a kmitavý/Kmitový pohyb.md | 55 ++++++++++++++++- .../Periodický a kmitavý.md | 3 + .../Rychlost a zrychlení.md | 11 ++++ notes/mat/Trigonometrie/Euklidovy věty.md | 7 +++ .../mat/Trigonometrie/Geometrie/Geometrie.md | 1 + notes/mat/Trigonometrie/Geometrie/Priklady.md | 2 + notes/mat/Trigonometrie/Kosinová věta.md | 2 +- notes/mat/Trigonometrie/Trigonometrie.md | 1 + 18 files changed, 161 insertions(+), 34 deletions(-) create mode 100644 notes/.obsidian/plugins/various-complements/histories.json create mode 100644 notes/cjl/literatura/slohy/Realismus/Rozchod.md create mode 100644 notes/data/Pasted image 20230503211421.png create mode 100644 notes/data/Pasted image 20230509115436.png create mode 100644 notes/data/Pasted image 20230509115446.png create mode 100644 notes/data/Pasted image 20230509115651.png create mode 100644 notes/fyz/pohyb/Periodický a kmitavý/Fáze.md create mode 100644 notes/fyz/pohyb/Periodický a kmitavý/Rychlost a zrychlení.md create mode 100644 notes/mat/Trigonometrie/Euklidovy věty.md create mode 100644 notes/mat/Trigonometrie/Geometrie/Priklady.md diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index 8eede0e..e0a5707 100644 --- a/notes/.obsidian/plugins/obsidian-activity-history/data.json +++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json @@ -12,8 +12,8 @@ "checkpointList": [ { "path": "/", - "date": "2023-05-03", - "size": 1069436 + "date": "2023-05-09", + "size": 1072324 } ], "activityHistory": [ @@ -1222,7 +1222,19 @@ }, { "date": "2023-05-03", - "value": 1363 + "value": 1545 + }, + { + "date": "2023-05-04", + "value": 65 + }, + { + "date": "2023-05-05", + "value": 184 + }, + { + "date": "2023-05-09", + "value": 2459 } ] } diff --git a/notes/.obsidian/plugins/various-complements/histories.json b/notes/.obsidian/plugins/various-complements/histories.json new file mode 100644 index 0000000..17629ed --- /dev/null +++ b/notes/.obsidian/plugins/various-complements/histories.json @@ -0,0 +1 @@ +{"Tepelné děje Ideálního plynu":{"Tepelné děje Ideálního plynu":{"internalLink":{"count":1,"lastUpdated":1681206967827}}},"Tavné a elektronické pojistky":{"Tavné a 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elektrárna":{"internalLink":{"count":1,"lastUpdated":1681292148733}}},"Přerušení":{"Přerušení":{"internalLink":{"count":1,"lastUpdated":1681885511788}}},"b^2+c^2-2bc\\cos\\alpha":{"b^2+c^2-2bc\\cos\\alpha":{"currentFile":{"count":2,"lastUpdated":1681891082349}}},"a^2+b^2-2ab\\cos\\gamma":{"a^2+b^2-2ab\\cos\\gamma":{"currentFile":{"count":3,"lastUpdated":1681891573711}}},"\\cos\\alpha":{"\\cos\\alpha":{"currentFile":{"count":1,"lastUpdated":1681891086747}}},"\\frac{b^2+c^2-a^2}{2bc}":{"\\frac{b^2+c^2-a^2}{2bc}":{"currentFile":{"count":2,"lastUpdated":1681892107949}}},"\\frac{a^2+b^2-c^2}{2ab}":{"\\frac{a^2+b^2-c^2}{2ab}":{"currentFile":{"count":2,"lastUpdated":1681891896927}}},"Příklad":{"Příklad":{"internalLink":{"count":1,"lastUpdated":1681895449259}}},"\\frac{c}{\\sin\\gamma}":{"\\frac{c}{\\sin\\gamma}":{"currentFile":{"count":4,"lastUpdated":1682412036617}}},"\\frac{a}{\\sin\\alpha}":{"\\frac{a}{\\sin\\alpha}":{"currentFile":{"count":6,"lastUpdated":1682413071970}}},"180-\\alpha-\\beta":{"180-\\alpha-\\beta":{"currentFile":{"count":1,"lastUpdated":1682405853443}}},"dolů”":{"dolů”":{"currentFile":{"count":1,"lastUpdated":1682418763890}}},"Periodický pohyb":{"Periodický pohyb":{"internalLink":{"count":4,"lastUpdated":1683626327979}}},"\\leftrightarrow":{"\\leftrightarrow":{"currentFile":{"count":1,"lastUpdated":1682500951514}}},"přímkou":{"přímkou":{"currentFile":{"count":1,"lastUpdated":1683104779956}}},"přímočarý":{"přímočarý":{"currentFile":{"count":1,"lastUpdated":1683626331385}}},"Text Elements":{"Text Elements":{"internalLink":{"count":1,"lastUpdated":1683626544850}}},"\\frac\\pi4":{"\\frac\\pi4":{"currentFile":{"count":1,"lastUpdated":1683628064527}}}} \ No newline at end of file diff --git a/notes/.obsidian/workspace.json b/notes/.obsidian/workspace.json index e3efe42..fb463b9 100644 --- a/notes/.obsidian/workspace.json +++ b/notes/.obsidian/workspace.json @@ -4,16 +4,16 @@ "type": "split", "children": [ { - "id": "bd2caacaf6b63690", + "id": "8e4917a90e1d2832", "type": "tabs", "children": [ { - "id": "0bb0521fe1f40480", + "id": "4965e0184562b8f7", "type": "leaf", "state": { "type": "markdown", "state": { - "file": "mat/Trigonometrie/Geometrie/Úhel.md", + "file": "fyz/pohyb/Periodický a kmitavý/Fáze.md", "mode": "source", "source": false } @@ -85,7 +85,7 @@ "state": { "type": "backlink", "state": { - "file": "mat/Trigonometrie/Geometrie/Úhel.md", + "file": "fyz/pohyb/Periodický a kmitavý/Fáze.md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -102,7 +102,7 @@ "state": { "type": "outgoing-link", "state": { - "file": "mat/Trigonometrie/Geometrie/Úhel.md", + "file": "fyz/pohyb/Periodický a kmitavý/Fáze.md", "linksCollapsed": false, "unlinkedCollapsed": true } @@ -149,7 +149,7 @@ "state": { "type": "outline", "state": { - "file": "mat/Trigonometrie/Geometrie/Úhel.md" + "file": "fyz/pohyb/Periodický a kmitavý/Fáze.md" } } }, @@ -225,45 +225,45 @@ "breadcrumbs:Breadcrumbs Visualisation": false } }, - "active": "0bb0521fe1f40480", + "active": "4965e0184562b8f7", "lastOpenFiles": [ + "fyz/pohyb/Periodický a kmitavý/Rychlost a zrychlení.md", + "fyz/pohyb/Periodický a kmitavý/Fáze.md", + "fyz/pohyb/Periodický a kmitavý/Kmitový pohyb.md", + "data/Pasted image 20230509115651.png", + "data/Pasted image 20230509115446.png", + "data/Pasted image 20230509115436.png", + "fyz/pohyb/Periodický a kmitavý/Periodický pohyb.md", + "fyz/pohyb/Druhý pohybový zákon.md", + "fyz/pohyb/Periodický a kmitavý/Periodický a kmitavý.md", + "fyz/fyz.md", + "cjl/literatura/slohy/Realismus/Rozchod.md", + "cjl/literatura/slohy/Realismus/Božena Němcová.md", + "cjl/cjl.md", + "projects/projects.md", + "mat/mat.md", + "mat/Trigonometrie/Geometrie/Priklady.md", + "mat/Trigonometrie/Příklady.md", + "mat/Trigonometrie/Kosinová věta.md", + "mat/Trigonometrie/Euklidovy věty.md", + "mat/Trigonometrie/Sinová věta.md", + "data/Pasted image 20230503211421.png", + "mat/Trigonometrie/Geometrie/Úhel.md", "mat/Trigonometrie/Geometrie/Přímka.md", "mat/Trigonometrie/Geometrie/Polorovina.md", "mat/Trigonometrie/Geometrie/Geometrie.md", - "mat/Trigonometrie/Geometrie/Úhel.md", "mat/Trigonometrie/Geometrie/Eukleidés a jeho postuláty.md", - "mat/Trigonometrie/Příklady.md", "projects/conos/Interesting tech.md", "projects/conos/DesignDesign.md", "data/Pasted image 20230502210329.png", "data/Pasted image 20230502210302.png", "projects/conos/Terminology.md", "projects/conos/Login system.md", - "projects/conos/conos.md", - "projects/projects.md", - "cjl/literatura/slohy/Realismus/Karel Havlíček Borovský.md", - "cjl/literatura/slohy/Realismus/Fidlovačka aneb žádný řev a žádná rvačka.md", - "cjl/literatura/slohy/Realismus/Božena Němcová.md", "data/Pasted image 20230426112709.png", "data/Pasted image 20230426112637.png", "data/Pasted image 20230426112218.png", "data/Pasted image 20230426112004.png", - "data/Pasted image 20230426111821.png", - "data/Pasted image 20230426111746.png", - "data/Pasted image 20230426111715.png", - "data/Pasted image 20230426111635.png", "mat/Trigonometrie/Geometrie", - "mat/Trigonometrie/Sinová věta.md", - "mat/mat.md", - "fyz/fyz.md", - "mat/Trigonometrie/Kosinová věta.md", - "mat/Funkce/Goniometrické funkce.md", - "mat/Funkce/Tangens.md", - "fyz/Molekulová fyzika/Pevne blbosti/Vzorky.md", - "data/Kmitový pohyb 2023-04-25 12.31.10.excalidraw.md", - "fyz/pohyb/pohyb.md", - "fyz/pohyb/Periodický a kmitavý/Periodický pohyb.md", - "fyz/pohyb/Periodický a kmitavý/Kmitový pohyb.md", "fyz/pohyb/Periodický a kmitavý", "fyz/Molekulová fyzika", "mat/Trigonometrie", diff --git a/notes/cjl/literatura/slohy/Realismus/Realismus.md b/notes/cjl/literatura/slohy/Realismus/Realismus.md index 4f56180..0682211 100644 --- a/notes/cjl/literatura/slohy/Realismus/Realismus.md +++ b/notes/cjl/literatura/slohy/Realismus/Realismus.md @@ -7,4 +7,5 @@ - [[cjl/literatura/slohy/Realismus/Božena Němcová|Božena Němcová]] - [[cjl/literatura/slohy/Realismus/Fidlovačka aneb žádný řev a žádná rvačka|Fidlovačka aneb žádný řev a žádná rvačka]] - [[cjl/literatura/slohy/Realismus/Karel Havlíček Borovský|Karel Havlíček Borovský]] +- [[cjl/literatura/slohy/Realismus/Rozchod|Rozchod]] %% Zoottelkeeper: End of the autogenerated index file list %% diff --git a/notes/cjl/literatura/slohy/Realismus/Rozchod.md b/notes/cjl/literatura/slohy/Realismus/Rozchod.md new file mode 100644 index 0000000..cf84dab --- /dev/null +++ b/notes/cjl/literatura/slohy/Realismus/Rozchod.md @@ -0,0 +1,4 @@ +# Rozchod +Dobrý večer, +z důvodu zjištění vašeho pravého pohlaví se s Vámi nyní rozvádím. +S přáním hezkého dne, diff --git a/notes/data/Pasted image 20230503211421.png b/notes/data/Pasted image 20230503211421.png new file mode 100644 index 0000000000000000000000000000000000000000..d701efc33ca28d68dc79f598449ef740f009c384 GIT binary patch literal 35347 zcmYJb1yof3_XSFq#DH{{gh-2YcZh^acS(154-L}N4N6LPx4;n6Aw9If3`oDr?|uL8 ztp$sL1#>_5b3f;tz4zINC^c1i94vAy1Ox;eMFklR1Oy~?1O!BO3^d>;EN*-^z!yv> z1szue1l)n=PsCI8|_qd@Hx%mPv0qxWOQ_KB)0}B(1H|tf+$F1xsC12VtvmnvKnL!gm}-; zy$!gGYuHbg>V>-}L$4keLp%FAnovmFL^Lhre5XvM#M`?lC*Pw|pjbzu8^kxI3BbAXcV z1h(lwX 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oscilátory s opačnou fází: +$y_1=y_m\sin\omega t$ +$y_2=y_m\sin(\omega t+\pi)$ + +--- + +Hmotný bod harmonicky kmitá s amplitudou výchylky $50mm$, s periodou $4s$ a s počáteční fází $\frac\pi4$. +Určete okamžitou výchylku v časech $t_1=0s$ a $t_2=1.5s$ + +$\varphi_0=\frac\pi4$ +$T=4s$ +$y_m=50mm=0.005m$ +$y=y_m\sin(\omega t + \varphi_0)$ + +$\omega=\frac{2\pi}T$ +$\omega=\frac{2\pi}{4}=\frac\pi2$ + +$y_1=0.05\sin(\frac\pi20+\frac\pi4)=0.005\sin\frac\pi4$ +$y_1=0.05\frac{\sqrt2}2m$ + +$y_2=0.05\sin(\frac\pi21.5+\frac\pi4)$ +$y_2=0.05\sin(\frac{3\pi}4+\frac\pi4)$ +$y_2=0.05\sin(\pi)$ +$y_2=0m$ + diff --git a/notes/fyz/pohyb/Periodický a kmitavý/Kmitový pohyb.md b/notes/fyz/pohyb/Periodický a kmitavý/Kmitový pohyb.md index a4b9679..e4b4683 100644 --- a/notes/fyz/pohyb/Periodický a kmitavý/Kmitový pohyb.md +++ b/notes/fyz/pohyb/Periodický a kmitavý/Kmitový pohyb.md @@ -14,4 +14,57 @@ $y$ - okamžitá výchylka (m) $y_m$ - maximální výchylka (amplituda) $y(t)$ je funkcí času -## Kyvadlo +![](Pasted%20image%2020230509115446.png) +![](Pasted%20image%2020230509115436.png) + +## Základní rovnice kmitavého pohybu +$y=y_m\sin\omega t$ +Vyjadřuje výchylku $y$ harmonického pohybu tělesa, které se v počátečním okamžiku (v čase $t_0$) nachází v rovnovážné poloze. + +## Jednoduchý kmitavý pohyb +- [Periodický pohyb](Periodický%20pohyb.md) +- přímočarý +- nerovnoměrný +- okamžitá výchylka se mění podle funkce sinus. + +--- + +Napište rovnici harmonického kmitání oscilátoru, jenž kmitá s amplitudou výchylky $3cm$ a periodou $0.2s$. + +$y_m=3cm$ +$T=0.2s$ +$\omega=\frac{2\pi}T$ +$\omega=\frac{2\pi}{0.2}(rad)s^-1=10\pi s^-1$ +(rad)… nepovinné +$y=0.03\sin10\pi t \space m$ + +--- + +Harmonické kmitání je opsáno rovnicí +$y=8\sin4\pi t\space cm$ +Určete amplitudu výchylky a frekvenci kmitání oscilátoru. + +$y_m=8cm$ +$\omega=4\pi \space s^-1$ +$\omega=2\pi f$ +$f=\frac{\omega}{2\pi}$ +$f=\frac{4\pi}{2\pi}Hz=2Hz$ + +--- + +Výpočet výchylky v daném čase. + +Hmotný bod harmonicky kmitá s amplitudou výchylky $0.2m$. +Určete okamžité výchylky hmotného bodu v časech: + +$t=\frac14T,\frac13T,\frac12T$ + +$y=y_m\sin\omega t$ +$y=0.2\sin\frac{2\pi}Tt$ + +$y=0.2\sin\frac{2\pi}T\frac{T}4=0.2\sin\frac\pi2=0.2m$ + +$y=0.2\sin\frac{2\pi}T\frac{T}3=0.2\sin\frac{2\pi}3=0.2\frac{\sqrt3}2m\dot=0.17m$ + +$y=0.2\sin\frac{2\pi}T\frac{T}2=0.2\sin\pi=0m$ + diff --git a/notes/fyz/pohyb/Periodický a kmitavý/Periodický a kmitavý.md b/notes/fyz/pohyb/Periodický a kmitavý/Periodický a kmitavý.md index 1da30b1..97404b8 100644 --- a/notes/fyz/pohyb/Periodický a kmitavý/Periodický a kmitavý.md +++ b/notes/fyz/pohyb/Periodický a kmitavý/Periodický a kmitavý.md @@ -1,4 +1,7 @@ +# Periodický a kmitavý %% Zoottelkeeper: Beginning of the autogenerated index file list %% +- [[fyz/pohyb/Periodický a kmitavý/Fáze|Fáze]] - [[fyz/pohyb/Periodický a kmitavý/Kmitový pohyb|Kmitový pohyb]] - [[fyz/pohyb/Periodický a kmitavý/Periodický pohyb|Periodický pohyb]] +- [[fyz/pohyb/Periodický a kmitavý/Rychlost a zrychlení|Rychlost a zrychlení]] %% Zoottelkeeper: End of the autogenerated index file list %% diff --git a/notes/fyz/pohyb/Periodický a kmitavý/Rychlost a zrychlení.md b/notes/fyz/pohyb/Periodický a kmitavý/Rychlost a zrychlení.md new file mode 100644 index 0000000..9c53b21 --- /dev/null +++ b/notes/fyz/pohyb/Periodický a kmitavý/Rychlost a zrychlení.md @@ -0,0 +1,11 @@ +# Rychlost a zrychlení + +## Rychlost +Funkce času s cosinus. + +$v=v_m\cos\omega t$ + +## Zrychlení +Funkce času s sinus, opačně k výchylce + +$a=-a_m\sin\omega t$ diff --git a/notes/mat/Trigonometrie/Euklidovy věty.md b/notes/mat/Trigonometrie/Euklidovy věty.md new file mode 100644 index 0000000..ab58f86 --- /dev/null +++ b/notes/mat/Trigonometrie/Euklidovy věty.md @@ -0,0 +1,7 @@ +# Euklidovy věty +## O výšce +$v^2_c=c_ac_b$ +![](Pasted%20image%2020230503211421.png) +## O odvěsně +$a^2=c c_a$ +$b^2=cc_b$ diff --git a/notes/mat/Trigonometrie/Geometrie/Geometrie.md b/notes/mat/Trigonometrie/Geometrie/Geometrie.md index 6ce83f0..a8472ad 100644 --- a/notes/mat/Trigonometrie/Geometrie/Geometrie.md +++ b/notes/mat/Trigonometrie/Geometrie/Geometrie.md @@ -2,6 +2,7 @@ %% Zoottelkeeper: Beginning of the autogenerated index file list %% - [[mat/Trigonometrie/Geometrie/Eukleidés a jeho postuláty|Eukleidés a jeho postuláty]] - [[mat/Trigonometrie/Geometrie/Polorovina|Polorovina]] +- [[mat/Trigonometrie/Geometrie/Priklady|Priklady]] - [[mat/Trigonometrie/Geometrie/Přímka|Přímka]] - [[mat/Trigonometrie/Geometrie/Úhel|Úhel]] %% Zoottelkeeper: End of the autogenerated index file list %% diff --git a/notes/mat/Trigonometrie/Geometrie/Priklady.md b/notes/mat/Trigonometrie/Geometrie/Priklady.md new file mode 100644 index 0000000..f351107 --- /dev/null +++ b/notes/mat/Trigonometrie/Geometrie/Priklady.md @@ -0,0 +1,2 @@ +# Priklady + diff --git a/notes/mat/Trigonometrie/Kosinová věta.md b/notes/mat/Trigonometrie/Kosinová věta.md index 381d46d..00e6dce 100644 --- a/notes/mat/Trigonometrie/Kosinová věta.md +++ b/notes/mat/Trigonometrie/Kosinová věta.md @@ -4,7 +4,7 @@ $b^2=c^2+a^2-2ca\cos\beta$ $c^2=a^2+b^2-2ab\cos\gamma$ $b_c=c\cos\alpha$ -$b_c$ … část $a$ rozdělená výškou $v_a$ a bližší straně $b$. +$b_c$ … část $b$ rozdělená výškou $v_b$ a bližší straně $c$. $a_c=c\cos\beta$ ![](Pasted%20image%2020230417192048.png) diff --git a/notes/mat/Trigonometrie/Trigonometrie.md b/notes/mat/Trigonometrie/Trigonometrie.md index 1738a0e..817fe27 100644 --- a/notes/mat/Trigonometrie/Trigonometrie.md +++ b/notes/mat/Trigonometrie/Trigonometrie.md @@ -78,6 +78,7 @@ Dopočítejte zbývající prvky v trojúhelníku. %% Zoottelkeeper: Beginning of the autogenerated index file list %% +- [[mat/Trigonometrie/Euklidovy věty|Euklidovy věty]] - [[mat/Trigonometrie/Geometrie/Geometrie|Geometrie]] - [[mat/Trigonometrie/Kosinová věta|Kosinová věta]] - [[mat/Trigonometrie/Příklady|Příklady]]