From 7b95cf6e21371c75341ec16cb81c2d6a41f0a0d9 Mon Sep 17 00:00:00 2001 From: Daniel Bulant Date: Mon, 21 Feb 2022 09:36:42 +0100 Subject: [PATCH] vault backup: 2022-02-21 09:36:42 --- .../obsidian-activity-history/data.json | 10 +- notes/data/Matice.bmp | Bin 0 -> 3686454 bytes notes/data/Metrický závit.bmp | Bin 0 -> 3686454 bytes notes/ech/Stechiometrické výpočty.md | 22 +- notes/fyz/Tření a třecí síla.md | 32 ++- notes/mat/Funkce/Příklady.md | 229 ------------------ notes/tek/Metrický závit.md | 6 + notes/tek/tek.md | 1 + 8 files changed, 64 insertions(+), 236 deletions(-) create mode 100644 notes/data/Matice.bmp create mode 100644 notes/data/Metrický závit.bmp create mode 100644 notes/tek/Metrický závit.md diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index f1281de..2aa72ae 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": "2022-02-18", - "size": 778098 + "date": "2022-02-21", + "size": 780658 } ], "activityHistory": [ @@ -50,7 +50,11 @@ }, { "date": "2022-02-18", - "value": 1675 + "value": 2763 + }, + { + "date": "2022-02-21", + "value": 1528 } ] } diff --git a/notes/data/Matice.bmp b/notes/data/Matice.bmp new file mode 100644 index 0000000000000000000000000000000000000000..d7f697546d2c5b1243f92b991f50fdbf6382f85a GIT binary patch literal 3686454 zcmeF)2b?5Txi{cmq9Q@Tgo;GbYy1!qP>{^^k`x1ik!u105ebq6mLSPRK@kv^1th6g z;fm=hNRZ3|E}{YkBrG|zWZ3QRovE4HrmCl>s-|bQ!_&WYs5yO3)v4!HxAmV&>u>(v zb=Rm3yxtrCd&|JYg0qE6L7uyc^6y*= zQv?VQAV7cs0RjXF^qGMC+gAfF|Mt~zTUi1G2oNAZfB*pk1R4e8-$sp|pO$}neu%9g z0RjXF5FkK+009Cc3CO=A$@FBo{M(bmYNZGeAV7cs0RjXF5GW!b{}xf|nL6@s&kUs% zAwYlt0RjXF5FkLHtUxE{-}&a7Z^ac?+<4=SS6+GLvg%ZwuZ`x|BtyW!i)mV#p 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z@A%h%s#&w0tg_000IagfB*srAP_u(G-=X&^UXKkfB$`+Jb7Yv7wvYWJ&$5`E@vTt00Iag zfB*srAbCN?`%alM<)e>2deXBfj{pJ)Ab$Gv;^woc`#2?7WpfB*srAb8GDQc<{h|g)5`; z_u#>U5!4o{iU0x#AbedERrb^ewtS<+`=3Lt<00tg_000IagfB*srAP~6%Lxv2Q zG-;Be;QICJM{X;qIRXeEfB*srAb@~ literal 0 HcmV?d00001 diff --git a/notes/ech/Stechiometrické výpočty.md b/notes/ech/Stechiometrické výpočty.md index ff25072..b815240 100644 --- a/notes/ech/Stechiometrické výpočty.md +++ b/notes/ech/Stechiometrické výpočty.md @@ -9,4 +9,24 @@ $n=\frac{m}M$ $\frac{m_{HCl}}{M_{HCl}} = 2\frac{m_{Zn}}{M_{Zn}}$ | $* M_{HCl}$ $m_{HCl} = 2\frac{m_{Zn}}{M_{Zn}}M_{HCl}$ $m_{HCl} = 2\frac{10}{65}*36.5$ -$m_{HCl}=\frac{20*36.5}{65} = 11.23$ +$m_{HCl}=\frac{20*36.5}{65} = \underline{11.23g}$ + +```ad-note +title: Vztah mezi molární hmotností a hmotností prvku + +pro kapaliny a pevné látky +$n=\frac{m}M$ +``` +```ad-note +title: Objem molu plynu + +$1mol \approx V_n=22.4l$ +``` + +$\frac{n_{H_2}}{n_{Zn}} = \frac11$ (jedna před $H_2$, druhá jedna ze $Zn$) +$n_{H_2}=n_{Zn}$ +$\frac{V_{H_2}}{V_n}=\frac{m_{Zn}}{M_{Zn}}$ +$V_{H_2}=\frac{m_{Zn}}{M_{Zn}}*V_n$ +$V_{H_2} = \frac{10}{65}*22.4=3.45l$ + +Z deseti gramu zinku můžeme připravit 3.45l vodíku když k ní přidáme 11.23g 100% kyseliny chlorovodíkové. \ No newline at end of file diff --git a/notes/fyz/Tření a třecí síla.md b/notes/fyz/Tření a třecí síla.md index f9efe0c..6c900ac 100644 --- a/notes/fyz/Tření a třecí síla.md +++ b/notes/fyz/Tření a třecí síla.md @@ -2,6 +2,11 @@ tags: [fyz] --- # Tření a třecí síla + +$F_N = F_G*f = m*g*f = F_G \cos \alpha$ +$F_N$ = kolmá tlaková síla. V prezentaci označována jako $F_{G2}$ +$F_t=f*F_N$ + ## Smykové tření Smykové tření je jev, který vzniká mezi plochami dvou dotýkajících se těles a brzdí vzájemný pohyb obou těles. ![](Pasted%20image%2020220117092741.png) @@ -24,9 +29,30 @@ $f$ - koeficient smykového tření Při pohybo po vodorovné rovině se normálový síla $F_N$ rovná tíhové síle $F_G$ působící na těleso. ![](Pasted%20image%2020220117093236.png) -Velikost normálové síly $F_N$ se rovná velikosti složky tíhové síly $F_{G2}$. +Velikost normálové síly $F_N$ se rovná velikosti složky tíhové síly $F_{G2} = F_N$. ![](Pasted%20image%2020220117093345.png) $F_{G1}$ - pohybová složka tíhové síly -$F_{G2}$ - tlaková (normálová) složka tíhové síly +$F_{G2} = F_N$ - tlaková (normálová) složka tíhové síly ![](Pasted%20image%2020220117093451.png) -$F_{G2}$ - tlaková (normálová) složka tíhové síly \ No newline at end of file +$F_{G2} = F_N$ - tlaková (normálová) složka tíhové síly + +--- + +## Příklady + +$m=5kg$ +$f=0.2$ + +$F_G = m*g = 5*10N=50N$ +$F_t = fmg = (0.2*5*10)N=10N$ +$F = F_t * ma$ + +--- + +$F_t = fmg \cos \alpha$ +$F_P=mg \sin \alpha$ +$\alpha = 30\degree$; $m=2kg$; $f=0.5$ +$F_P=10N$ +$F=8.7N$ + +--- \ No newline at end of file diff --git a/notes/mat/Funkce/Příklady.md b/notes/mat/Funkce/Příklady.md index 180a5fe..e69de29 100644 --- a/notes/mat/Funkce/Příklady.md +++ b/notes/mat/Funkce/Příklady.md @@ -1,229 +0,0 @@ ---- -Date: 2022-03-02 ---- -# Příklady - -## Určete definiční obory funkcí ---- -$f_1: y = x^3 - x^2 + 1$ -$D_{f_1} = \mathbb{R}$ - ---- -$f_2:y=\frac1{6-4x}$ -$D_{f_2} = \mathbb{R} - \{1.5\}$ - ---- -$f_3:y=\frac1{4x^2-9}$ -$D_{f_3} = \mathbb{R} - \{1.5\}$ - ---- -$f_4: y = \frac{\sqrt{4-2x}}3$ -$D_{f_4} = (-\infty; 2\rangle$ - ---- -$f_5:y=\sqrt{x-2}+\frac1x$ -$D_{f_5}=\langle2;\infty) - \{0\}$ - ---- -$f_6:y=\frac{\sqrt{x+3}}{\sqrt{x+7}}$ -$D_{f_6} = \langle-3;\infty) - \{-7\}$ - ---- -$f_7:y=\sqrt\frac{x+3}{x+7}$ -$D_{f_7} = \langle-3;\infty)$ - ---- -## Rozhodněte, zda číslo $d$ náleží $H(f_i)$ ---- -$d=7$ -$f_1:y=3x-4$ -$f_1^{-1}: x=\frac{y+4}3$ -$D_{f_1^{-1}}=\mathbb{R}$ -$H_{f_1}=\mathbb{R}$ -$7\in\mathbb{R}$ -✔️ - ---- -$d=5$ -$f_2:y=-5$ -$H_{f_2} = \{-5\}$ -$5 \not\in \{-5\}$ -❌ - ---- -$d=0$ -$f_3:y=\frac1{x+3}$ -$f_3^{-1} : x=\frac1y-3$ -$D_{f_3^{-1}} = \mathbb{R} - \{0\}$ -$0\not\in\mathbb{R}-\{0\}$ -❌ - ---- -$d=-4$ -$f_4:y=\frac{x+1}{x-2}$ -$f_4^{-1}:2=\frac1y$ -$y = \frac{x+1}{x-2}$ -$y(x-2)=x+1$ -$y(x-2)-x=1$ -$x-2=\frac{(1+x)}y$ - - ---- -$d=\frac12$ -$f_5:y=\frac1{x^2-1}$ -$f_5^{-1}: x=\sqrt{\frac1y+1}$ -$D_{f_5^{-1}} = H_{F_5} = (-1;\infty)$ -$\frac12 \in (-1; \infty)$ -✔️ - ---- - -## Určete číslo $b\in\mathbb{R}$ za předpokladu, že: - ---- -graf funkce $f:y=6x+b$, prochází bodem $A[0;4]$ -$f(0) = 4$ -$6*0 + b = 4$ -$b = 4$ - ---- -graf funkce $f:y=\frac32x+b$, prochází bodem $A[-2;9]$ -$f(-2) = 9$ -$\frac32*(-2)+b=9$ -$-3+b=9$ -$b=12$ - ---- - -## Určete číslo $a\in\mathbb{R}$ za předpokladu, že: - ---- -graf funkce $f:y=ax+2$, prochází bodem $A[-2;6]$ -$f(-2) = 6$ -$-2a+2=6$ -$-2a=4$ -$-a=2$ -$a=-2$ - ---- -graf funkce $f:y=ax-2$, prochází bodem $A[1;2]$ -$f(1)=2$ -$1a-2=2$ -$a=4$ - - ---- -$$ --5-2x=4x+7 -$$ -$$ -x=-2 -$$ ---- -$$ -8000+100x=10000+80x -$$ -$$ -x=100 -$$ - - ---- -$$x + \frac2x - 1 = \frac{x + 6}{x + 2}$$ -$$x(x+2) + 4 - (x+2) = x + 6 \space | *(x+2)$$ -$[x\neq-2]$ -$$x^2+2x+4-x-2=x+6$$ -$$x^2+x+2=x+6$$ -$$x^2+x-4=x$$ -$$x^2-4=0$$ -$$2 = x$$ - - ---- - -$$\frac{x+2}{x-1}=\frac{x+6}{x+2} \space | *(x-1)(x+2)$$ -$[x\neq1]; [x\neq-2]$ -$$(x+2)^2 = (x+6)(x-1)$$ -$$x^2+4x+4=x^2+5x-6$$ -$$4x+4=5x-6$$ -$$x=10$$ - ---- - -$$\frac{2x+1}{x-3}=\frac{4x+2}{2x-1} \space | *(x-3)(2x-1)$$ -$[x\neq3]; [x\neq\frac12]$ -$$(2x+1)(2x-1)=(4x+2)(x-3)$$ -$$4x^2-1=4x^2-10x-6 \space|-4x^2$$ -$$-1=10x-6 \space |+6$$ -$$5=10x\space|:10$$ -$$x=0.5$$ -$$K=\{-\frac12\}$$ - ---- - -$$\frac{x+3}{x-2}=4+\frac5{x-2} \space | *(x-2)$$ -$[x\neq2]$ -$$x+3=4(x-2)+5$$ -$$x+3=4x-3 \space |-x$$ -$$3=3x-3 \space |+3$$ -$$6=3x \space | :3$$ -$$x=2$$ -$$K=\{\emptyset\}$$ -```ad-sentence -Výsledné x nemá řešení, protože podmínka zakáže výslednou hodnotu (x nesmí být 2, ale x vyšlo 2) -``` - ---- - -$$\frac{x+4}{x+5}=2-\frac1{x+5} \space | *(x+5)$$ -$[x\neq-5]$ -$$x+4=2(x+5)-1$$ -$$x+4=2x+9 \space | -x$$ -$$4=x+9 \space | -9$$ -$$x=-5$$ -$$K=\{\emptyset\}$$ - ---- - -$$\frac{x-2}{x+3}=2-\frac5{x+3} \space | * (x+3)$$ -$[x\neq-3]$ -$$x-2=2(x+3)-5$$ -$$x-2=2x+1 | -x-1$$ -$$x=-3$$ -$$K=\{\emptyset\}$$ ---- - -$$\frac{x+8}{x+3}=1+\frac5{x+3} \space | *(x+3)$$ -$[x\neq-3]$ -$$x+8=1(x+3)+5$$ -$$x+8=x+8 \space | -8$$ -$$0x=0$$ -$$K=\{\mathbb{R} - \{-3\}\}$$ - ---- - -$$\frac{x+2}{x+5} = 1-\frac3{x+5} \space | * (x+5)$$ -$[x\neq-5]$ -$$x+2=x+2 \space | -2-x$$ -$$0x=0$$ -$$K=\{\mathbb{R}-\{-5\}\}$$ - ---- - -$$\frac{x-3}{x+2}=1-\frac6{x+2} \space | *(x+2)$$ -$[x\neq-2]$ -$$x-3=x-4 \space | -x+4$$ -$$1=0x$$ -$$K=\{\emptyset\}$$ - ---- - -$$\frac{2x-4}{x-2}=1-\frac2{x-2} \space | *(x-2)$$ -$[x\neq2]$ -$$2x-4=x-4 | +4$$ -$$2x=x \space |-x$$ -$$x=0$$ -$$K={0}$$ - ---- - diff --git a/notes/tek/Metrický závit.md b/notes/tek/Metrický závit.md new file mode 100644 index 0000000..3a60db2 --- /dev/null +++ b/notes/tek/Metrický závit.md @@ -0,0 +1,6 @@ +# Metrický závit +![](Metrický%20závit.bmp) +příčné provedení nahoře, podílné dole + +![](Matice.bmp) +vykreslení matice \ No newline at end of file diff --git a/notes/tek/tek.md b/notes/tek/tek.md index 9a7cbe2..30ce119 100644 --- a/notes/tek/tek.md +++ b/notes/tek/tek.md @@ -10,6 +10,7 @@ imagePrefix: 'data/' - [[tek/Kótování koule|Kótování koule]] - [[tek/Kótování na strojařský výkres|Kótování na strojařský výkres]] - [[tek/Kótování sražených hran|Kótování sražených hran]] +- [[tek/Metrický závit|Metrický závit]] - [[tek/Opakující se prvky|Opakující se prvky]] - [[tek/Přerušení|Přerušení]] - [[tek/Struktura povrchu|Struktura povrchu]]