From b6522e6286ec98a1c031f518ad76c2acbe955f04 Mon Sep 17 00:00:00 2001 From: Daniel Bulant Date: Tue, 7 Mar 2023 14:27:42 +0100 Subject: [PATCH] vault backup: 2023-03-07 14:27:42 --- .../obsidian-activity-history/data.json | 8 +- .../plugins/various-complements/data.json | 112 +++++++--------- notes/.obsidian/workspace.json | 37 ++++-- notes/data/Pasted image 20230307121603.png | Bin 0 -> 106601 bytes notes/data/Pasted image 20230307121620.png | Bin 0 -> 90058 bytes notes/data/Pasted image 20230307121956.png | Bin 0 -> 17880 bytes notes/data/Pasted image 20230307122109.png | Bin 0 -> 12339 bytes notes/data/Pasted image 20230307122111.png | Bin 0 -> 12339 bytes notes/data/Pasted image 20230307122120.png | Bin 0 -> 20051 bytes notes/data/Pasted image 20230307122841.png | Bin 0 -> 40605 bytes notes/data/Pasted image 20230307123141.png | Bin 0 -> 19338 bytes notes/fyz/Deformace.md | 94 +++++++++++++ notes/fyz/fyz.md | 1 + notes/mat/Funkce/Příklady.md | 125 ++++++++++++++++++ 14 files changed, 302 insertions(+), 75 deletions(-) create mode 100644 notes/data/Pasted image 20230307121603.png create mode 100644 notes/data/Pasted image 20230307121620.png create mode 100644 notes/data/Pasted image 20230307121956.png create mode 100644 notes/data/Pasted image 20230307122109.png create mode 100644 notes/data/Pasted image 20230307122111.png create mode 100644 notes/data/Pasted image 20230307122120.png create mode 100644 notes/data/Pasted image 20230307122841.png create mode 100644 notes/data/Pasted image 20230307123141.png create mode 100644 notes/fyz/Deformace.md diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index f8ea2fb..f07712a 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": "2023-03-03", - "size": 974036 + "date": "2023-03-07", + "size": 977638 } ], "activityHistory": [ @@ -1123,6 +1123,10 @@ { "date": "2023-03-03", "value": 0 + }, + { + "date": "2023-03-07", + "value": 3602 } ] } diff --git a/notes/.obsidian/plugins/various-complements/data.json b/notes/.obsidian/plugins/various-complements/data.json index 5f05ff6..7a7dd32 100644 --- a/notes/.obsidian/plugins/various-complements/data.json +++ b/notes/.obsidian/plugins/various-complements/data.json @@ -47,30 +47,6 @@ }, "showLogAboutPerformanceInConsole": false, "selectionHistoryTree": { - "cjl/slohy": { - "cjl/slohy": { - "frontMatter": { - "count": 4, - "lastUpdated": 1674631178064 - } - } - }, - "Objemový tok": { - "Objemový tok": { - "internalLink": { - "count": 1, - "lastUpdated": 1674555407566 - } - } - }, - "\\frac{p_2V_2}{T_2}": { - "\\frac{p_2V_2}{T_2}": { - "currentFile": { - "count": 1, - "lastUpdated": 1674557552976 - } - } - }, "Dějová linka": { "Dějová linka": { "internalLink": { @@ -79,22 +55,6 @@ } } }, - "Kramerius": { - "Kramerius": { - "currentFile": { - "count": 1, - "lastUpdated": 1674630993511 - } - } - }, - "Knihkupectví": { - "Knihkupectví": { - "currentFile": { - "count": 1, - "lastUpdated": 1674631137330 - } - } - }, "cjl/slohy/romantismus": { "cjl/slohy/romantismus": { "frontMatter": { @@ -103,30 +63,6 @@ } } }, - "hrají": { - "hrají": { - "currentFile": { - "count": 1, - "lastUpdated": 1674631807272 - } - } - }, - "Německé": { - "Německé": { - "currentFile": { - "count": 1, - "lastUpdated": 1674632124708 - } - } - }, - "Šárka Pražáková": { - "Šárka Pražáková": { - "internalLink": { - "count": 1, - "lastUpdated": 1674632664293 - } - } - }, "teplo": { "teplo": { "currentFile": { @@ -158,6 +94,54 @@ "lastUpdated": 1677049823397 } } + }, + "2x-\\frac\\pi4": { + "2x-\\frac\\pi4": { + "currentFile": { + "count": 1, + "lastUpdated": 1678175910376 + } + } + }, + "strukturu": { + "strukturu": { + "currentFile": { + "count": 1, + "lastUpdated": 1678187766010 + } + } + }, + "stavu": { + "stavu": { + "currentFile": { + "count": 1, + "lastUpdated": 1678187906558 + } + } + }, + "k\\frac{F}S": { + "k\\frac{F}S": { + "currentFile": { + "count": 1, + "lastUpdated": 1678188601234 + } + } + }, + "Zákon sudnyj ljudem": { + "Zákon sudnyj ljudem": { + "internalLink": { + "count": 1, + "lastUpdated": 1678188734961 + } + } + }, + "k\\in\\mathbb{Z}\\}": { + "k\\in\\mathbb{Z}\\}": { + "currentFile": { + "count": 1, + "lastUpdated": 1678194179087 + } + } } } } \ No newline at end of file diff --git a/notes/.obsidian/workspace.json b/notes/.obsidian/workspace.json index d6ec8e4..a44b5c4 100644 --- a/notes/.obsidian/workspace.json +++ b/notes/.obsidian/workspace.json @@ -4,15 +4,19 @@ "type": "split", "children": [ { - "id": "0111a1bc9ac38a42", + "id": "7183e76da3e7b8c7", "type": "tabs", "children": [ { - "id": "3b72681fe46d1d0e", + "id": "fd3a9f5eae0d1fde", "type": "leaf", "state": { - "type": "empty", - "state": {} + "type": "markdown", + "state": { + "file": "mat/Funkce/Příklady.md", + "mode": "source", + "source": false + } } } ] @@ -73,6 +77,7 @@ "state": { "type": "backlink", "state": { + "file": "mat/Funkce/Příklady.md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -89,6 +94,7 @@ "state": { "type": "outgoing-link", "state": { + "file": "mat/Funkce/Příklady.md", "linksCollapsed": false, "unlinkedCollapsed": true } @@ -134,7 +140,9 @@ "type": "leaf", "state": { "type": "outline", - "state": {} + "state": { + "file": "mat/Funkce/Příklady.md" + } } }, { @@ -208,10 +216,23 @@ "breadcrumbs:Breadcrumbs Visualisation": false } }, - "active": "8c976bdcdc74c84c", + "active": "fd3a9f5eae0d1fde", "lastOpenFiles": [ - "Untitled.canvas", "mat/mat.md", + "fyz/fyz.md", + "fyz/Mechanika tekutin/Mechanika tekutin.md", + "fyz/Deformace.md", + "data/Pasted image 20230307123141.png", + "data/Pasted image 20230307122841.png", + "data/Pasted image 20230307122120.png", + "data/Pasted image 20230307122111.png", + "data/Pasted image 20230307122109.png", + "data/Pasted image 20230307121956.png", + "data/Pasted image 20230307121620.png", + "data/Pasted image 20230307121603.png", + "fyz/Mechanika tekutin/Termodynamika/Termodynamika.md", + "mat/Funkce/Příklady.md", + "Untitled.canvas", "mat/Funkce/Cotangens.md", "mat/Funkce/Tangens.md", "data/Pasted image 20230302110903.png", @@ -221,11 +242,9 @@ "psi/psi.md", "cjl/literatura/slohy/Romantismus/Příprava na test.md", "data/data.md", - "fyz/fyz.md", "cjl/literatura/slohy/Romantismus/Karel Hynek Mácha.md", "cjl/literatura/Tropy a figury.md", "mat/Funkce/Goniometrické funkce.md", - "mat/Funkce/Příklady.md", "fyz/Mechanika tekutin/Termodynamika/Tepelné čerpadlo.md", "fyz/Mechanika tekutin/Termodynamika/Chladící stroj.md" ] diff --git a/notes/data/Pasted image 20230307121603.png b/notes/data/Pasted image 20230307121603.png new file mode 100644 index 0000000000000000000000000000000000000000..acbc1461e9861a969cf0dd202999dc7d515d4cea GIT binary patch literal 106601 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zEtttm1OIT^Bevy%UX1RYFarYv9ixP7t1!@>@Jq-qj(`~l*jkXUazy}agFi|7NRR;K z1-J$BHG>WD-;jL-B0XpnDhtW9;ZN7jueU&XTfkcY`18LteMNS`^ct}2S^ K3c1%G`usn%VJj5? literal 0 HcmV?d00001 diff --git a/notes/fyz/Deformace.md b/notes/fyz/Deformace.md new file mode 100644 index 0000000..393342b --- /dev/null +++ b/notes/fyz/Deformace.md @@ -0,0 +1,94 @@ +# Deformace + +## Pevné látky + +### Krystalické + +- monokrystaly +- polykrystaly + +![](Pasted%20image%2020230307121603.png) + +### Amorfní + +- nemají krystalickou strukturu +- plasty, buničina, papír, vosk, sklo.. + +![](Pasted%20image%2020230307121620.png) + +- kolem částice jsou přibližně pravidlně, dál od částice už spíše nepravidelně + +## Druhy deformace + +### Pružná + +Vrátí se do původního stavu + +### Elastická + +Nevrátí se do původního stavu + +### Tahem + +Působí síly ven z tělesa + +### Tlakem + +Působí síly do tělesa + +### Ohybem + +V různých místech různými silami +![](Pasted%20image%2020230307121956.png) + +### Deformace smykem + +![](Pasted%20image%2020230307122111.png) + +### Deformace kroucením + +![](Pasted%20image%2020230307122120.png) + +## Normálové napětí + +> [!SENTENCE] +> $\sigma_n=\frac{F_p}S$ +> $[\sigma_n]=Nm^{-2}=Pa$ + +Zjednodušený model, síla působící na plochu která je vložena kolmo (v podstatě tlak u pevných věcí). + +--- + +Jaký poloměr musí mít závěsné lano jeřábu, aby při rovnoměrném zvedání nákladu o hmotnosti 2.5t nepřekročilo normálové napětí v libovolném příčném řezu hodnotu 60MPa? + +$\sigma_n=\frac{F_p}{\pi r^2}$ +$\sigma_n\pi r^2=F_p$ + +$r=\sqrt{\frac{F_p}{\sigma_n\pi}}$ + +--- + + +## Práce s lanem + +![](Pasted%20image%2020230307122841.png) + +$\Delta l=k\frac{F}S*l_0$ /$: l_0$ +$\frac{\Delta l}{l_0}=k\frac{F}S$ +$\epsilon=\frac{\Delta l}{l_0}$ relativní prodloužení (%) +$\epsilon=k\sigma_n$ + +### Křivka deformace + +$\sigma_n=E\epsilon$ +Hookův zákon +> čím víc prodloužím tím větší napětí, záleží na materiálu + +$E$ = modul pružnosti (materiálová konstanta, v tabulkách) +$[E]=Pa$ + +![](Pasted%20image%2020230307123141.png) + +#### Trhací zkouška + +Trhá materiál, ukládá napětí, grafický znázornění => křivka deformace (obrázek nahoře) \ No newline at end of file diff --git a/notes/fyz/fyz.md b/notes/fyz/fyz.md index a235f98..fdb52b1 100644 --- a/notes/fyz/fyz.md +++ b/notes/fyz/fyz.md @@ -7,6 +7,7 @@ type: folder_brief_live imagePrefix: 'data/' ``` %% Zoottelkeeper: Beginning of the autogenerated index file list %% +- [[fyz/Deformace|Deformace]] - [[fyz/Exponencionální zápis|Exponencionální zápis]] - [[fyz/Jednotky SI|Jednotky SI]] - [[fyz/Mechanika tekutin/Mechanika tekutin|Mechanika tekutin]] diff --git a/notes/mat/Funkce/Příklady.md b/notes/mat/Funkce/Příklady.md index a001d8b..514a6d5 100644 --- a/notes/mat/Funkce/Příklady.md +++ b/notes/mat/Funkce/Příklady.md @@ -445,3 +445,128 @@ $2n\log6+\log5=n\log7+\log56$ $2n\log6-n\log7=\log5+\log56$ $n(2\log6-\log7)=\log5+\log56$ $n=\frac{\log5+\log56}{2\log6-\log7}$ + +--- + +### Goniometricke rovnice + +52/6 a +$\sin3x=1$ +$t=3x$ +$\sin t=1$ +$t=\pi+2k\pi$ +$t=3x$ +$3x=\pi+2k\pi$ +$x=\frac{\pi+2k\pi}3$ + +$K=\{\frac{\pi+2k\pi}3;k\in\mathbb{Z}\}$ + +52/6 b +$\cos 10x=\frac{\sqrt2}2$ +$t=10x$ +$\cos t=\frac{\sqrt2}2$ +$t=45\degree=\frac14\pi$ +$x=t/10$ +$x=\frac{\frac14\pi}{10}$ + +$k=\frac{\pi}{40}$ + +52/6 c +$\cos\frac52x=0$ +$t=\frac52x$ +$\cos t=0$ +$t_1=2k\pi$ +$t_2=2k\pi+\pi$ + +$K=\{2k\pi+\pi;k\in\mathbb{Z}\}$ + +$\frac52x=2k\pi$ +$x_1=\frac{4k\pi}5$ +$x_2=\frac{4k\pi+\pi}5$ + +$K=\{\frac{4k\pi+\pi}5;k\in\mathbb{Z}\}$ + +52/6 d +$\sin(2x-\frac\pi4)=\frac{\sqrt2}2$ +$t=2x-\frac\pi4$ +$\sin t=\frac{\sqrt2}2$ +$t=45\degree=\frac14\pi$ +$\frac14\pi=2x-\frac\pi4$ +$2x=\frac14\pi+\frac14\pi$ +$x=\frac14\pi$ +$K={\frac14\pi}$ + + +71a + +a) $2\sin(3x+\pi)=-1$ +$t=3x+\pi$ +$2sin(t)=-1$ +$\sin(t)=-\frac12$ +$t_1=210\degree C=\frac76\pi+2k\pi$ +$t_2=330\degree C=\frac{11}6\pi+2k\pi$ + +$t=3x+\pi$ +$x=\frac{t-\pi}3$ +$x_1=\frac{-\pi+\frac76\pi+2k\pi}3=\frac{\frac16\pi+2k\pi}3$ +$x_2=\frac{-\pi+\frac{11}6\pi+2k\pi}3=\frac{\frac{5}6\pi+2k\pi}3$ + +$K=\cup_{k\in\mathbb{Z}}\{\frac{\frac16\pi+2k\pi}3;\frac{\frac{5}6\pi+2k\pi}3\}$ + +b) + +$\sin(2x)=\cos(3x)*\sin(2x)$ + +$\cos(3x)=1$ +$t=3x$ + +$\cos(t)=1$ +$t=2k\pi$ + +$x=\frac{2k\pi}3$ + +$K=\{\frac{2k\pi}3;k\in\mathbb{Z}\}$ + +alt: + +$0=\cos(3x)\sin(2x)-\sin(2x)$ +$0=\sin(2x)(\cos(3x)-1)$ + +$\sin(2x)=0$ +$2x=k\pi$ +$x=\frac12k\pi$ + +nebo +$cos(3x)-1=0$ +$t=3x$ +$\cos(t)=1$ +$3x=0+2k\pi$ +$x=\frac23k\pi$ + +$x=\{\frac12k\pi\}\cup\{\frac23k\pi\};k\in\mathbb{Z}$ + +--- + +$\tg^2x+2\tg x=3$ +$m^2+2m-3=0$ +$(m-1)(m+3)=0$ +$m=1$ +$m=-3$ + +$\tg x=1$ +$x=\frac{1}4\pi+k\pi$ + +$\tg x=-3$ +$x=\tg^{-1}(-3)$ +$x=-71\degree33'$ + +--- + +42/22 a + +$\tg\frac76\pi=\frac{\sqrt3}2$ +$\tg4\pi=1$ +$\tg\frac54\pi=\frac{\sqrt2}2$ + +42/22 b +