unimore/triennale-appunti-steffo
unimore/triennale-appunti-steffo
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triennale-appunti-steffo/docs/ssr-build/ssr-bundle.js.map

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WEBPACK FOOTER //\n// ./components/latex.js","import style from \"./panel.css\";\nimport { Component } from 'preact';\n\nexport default class Panel extends Component {\n\trender() {\n\t\treturn <div class={style.panel}>{this.props.children}</div>;\n\t}\n}\n\n\n// WEBPACK FOOTER //\n// ./components/panel.js","import style from \"./split.css\";\nimport { Component } from 'preact';\n\nexport default class Split extends Component {\n\trender() {\n let percent = 100 / this.props.children.count;\n let children = null;\n if(Array.isArray(this.props.children)) {\n children = this.props.children.map(element => {\n return (<div class={style.splitchild}>{element}</div>);\n });\n }\n else {\n children = <div class={style.splitchild}>{this.props.children}</div>;\n }\n\t\treturn <div class={style.split}>{children}</div>;\n\t}\n}\n\n\n// WEBPACK FOOTER //\n// ./components/split.js","import style from './fisica.css';\nimport { Component } from 'preact';\nimport Latex from '../components/latex';\nimport Panel from '../components/panel';\nimport Split from '../components/split';\n\nconst r = String.raw;\n\nexport default class Fisica extends Component {\n\trender() {\n return (\n <div>\n <h1>Fisica</h1>\n <h2>Vettori</h2>\n <Split>\n <Panel>\n <h3>\n Componenti cartesiane\n </h3>\n <p>\n Usa le regole base della trigonometria:\n </p>\n <p>\n <Latex>{r`\\vec{v} = \\vec{v}_x + \\vec{v}_y`}</Latex>\n </p>\n <p>\n <Latex>{r`\\left | \\vec{v}_x \\right | = \\left | \\vec{v} \\right | \\sin \\alpha`}</Latex>\n </p>\n <p>\n <Latex>{r`\\left | \\vec{v}_y \\right | = \\left | \\vec{v} \\right | \\cos \\alpha`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Somma\n </h3>\n <p>\n Scomponi in componenti, poi sommali:\n </p>\n <p>\n <Latex>{r`\\vec{v} + \\vec{w} = (\\vec{v}_x + \\vec{w}_x) + (\\vec{v}_y + \\vec{w}_y)`}</Latex>\n </p>\n <p>\n Produce il vettore risultante dall'applicazione della regola del parallelogramma.\n </p>\n </Panel>\n <Panel>\n <h3>\n Differenza\n </h3>\n <p>\n Alla fine è sempre una somma:\n </p>\n <p>\n <Latex>{r`\\vec{v} - \\vec{w} = (\\vec{v}_x - \\vec{w}_x) + (\\vec{v}_y - \\vec{w}_y)`}</Latex>\n </p>\n <p>\n Produce il vettore che parte da <Latex>w</Latex> e arriva a <Latex>v</Latex>.\n </p>\n </Panel>\n <Panel>\n <h3>\n Prodotto scalare\n </h3>\n <p>\n Si chiama scalare perchè il risultato è uno scalare, non un vettore.\n </p>\n <p>\n <Latex>{r`\\vec{v} \\cdot \\vec{w} = \\left | \\vec{v} \\right | \\left | \\vec{w} \\right | \\cos \\alpha`}</Latex>\n </p>\n <p>\n Produce il modulo della proiezione di <Latex>{r`\\vec{a}`}</Latex> su <Latex>{r`\\vec{b}`}</Latex>.\n </p>\n </Panel>\n </Split>\n <h2>\n Leggi di Newton\n </h2>\n <Split>\n <Panel>\n <h3>\n 1ᵃ: Inerzia\n </h3>\n <p>\n Se un corpo puntiforme ha forza risultante nulla, allora la sua velocità non cambia.\n </p>\n <p>\n <Latex>{r`\\Sigma \\vec{F} = 0 \\Longleftrightarrow \\Delta v = 0`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n 2ᵃ: Proporzionalità\n </h3>\n <p>\n La forza risultante di un corpo è direttamente proporzionale alla sua accelerazione, e la costante di proporzionalità è la <i>massa</i>.\n </p>\n <p>\n <Latex>{r`\\Sigma \\vec{F} = m \\vec{a}`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n 3ᵃ: Azione e reazione\n </h3>\n <p>\n Due corpi esercitano forze uguali e opposte uno sull'altro. \n </p>\n <p>\n <Latex>{r`\\vec{F}_{21} = -\\vec{F}_{12}`}</Latex>\n </p>\n </Panel>\n </Split>\n <h2>\n Forza di gravità\n </h2>\n <Split>\n <Panel>\n <h3>\n Tra due corpi\n </h3>\n <p>\n Due corpi puntiformi si attirano uno verso l'altro con forza:\n </p>\n <p>\n <Latex>{r`\\left | \\vec{F} \\right | = G \\frac{m_1 m_2}{s^2}`}</Latex>\n </p>\n <p>\n <Latex>G</Latex> è la <i>costante di gravitazione universale</i> e vale:\n </p>\n <p>\n <Latex>{r`G = 6.67 \\cdot 10^{-11} \\frac{N m^2}{{kg}^2}`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Verso la Terra\n </h3>\n <p>\n Se nel sistema di riferimento consideriamo la Terra ferma, allora un corpo è attratto verso la Terra con forza <i>peso</i> uguale a:\n </p>\n <p>\n <Latex>{r`\\left | \\vec{F} \\right | = g m`}</Latex>\n </p>\n <p>\n <Latex>g</Latex> è la <i>costante di gravità</i> della Terra, e vale:\n </p>\n <p>\n <Latex>{r`g = 9.81 \\frac{m}{s^2}`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Su pianeti diversi\n </h3>\n <p>\n Per pianeti diversi dalla Terra vale la stessa regola:\n </p>\n <p>\n <Latex>{r`\\left | \\vec{F} \\right | = g m`}</Latex>\n </p>\n <p>\n L'unica differenza è che cambia la <i>costante di gravità</i>:\n </p>\n <p>\n <Latex>{r`g_{luna} = 1.62 \\frac{m}{s^2}`}</Latex>\n </p>\n <p>\n <Latex>{r`g_{marte} = 3.71 \\frac{m}{s^2}`}</Latex>\n </p>\n </Panel>\n </Split>\n <h2>\n Forze di contatto\n </h2>\n <Split>\n <Panel>\n <h3>\n Normale\n </h3>\n <p>\n Si oppone alle forze applicate alla superficie di contatto.\n </p>\n <p>\n Un libro appoggiato su un tavolo ha la <b>forza di gravità</b> che lo attira verso il terreno e la <b>forza normale</b> che lo trattiene dal cadere. \n </p>\n </Panel>\n <Panel>\n <h3>\n Attrito statico\n </h3>\n <p>\n Impedisce a un corpo di muoversi se non viene spinto da una forza che supera una certa soglia:\n </p>\n <p>\n <Latex>{r`\\left | \\vec{F} \\right | \\leq \\mu_{s} \\left | \\vec{F}_{normale} \\right |`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Attrito dinamico\n </h3>\n <p>\n Rallenta i corpi che si stanno muovendo finchè essi non si fermano:\n </p>\n <p>\n <Latex>{r`\\left | \\vec{F} \\right | \\leq \\mu_{d} \\left | \\vec{F}_{normale} \\right |`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Tensione\n </h3>\n <p>\n E' forza trasmessa tra due estremi di una fune.\n </p>\n <p>\n Può essere redirezionata per mezzo di carrucole.\n </p>\n </Panel>\n <Panel>\n <h3>\n Elastica\n </h3>\n <p>\n Una molla cerca sempre di tornare alla sua posizione indeformata con forza:\n </p>\n <p>\n <Latex>{r`F = -k x`}</Latex>\n </p>\n <p>\n (E' negativa perchè la forza è opposta a quella applicata per deformarla.)\n </p>\n </Panel>\n </Split>\n <h2>\n Cinematica\n </h2>\n <Split>\n <Panel>\n <h3>\n Spostamento\n </h3>\n <p>\n È un vettore che indica la posizione di un corpo rispetto a un'origine.\n </p>\n <p>\n <Latex>{r`\\Delta \\vec{s} = \\vec{s}(fine) - \\vec{s}(inizio)`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Velocità\n </h3>\n <p>\n È un vettore che misura la variazione di posizione nel tempo.\n </p>\n <p>\n <Latex>{r`\\vec{v} = \\frac{\\Delta \\vec{s}}{\\Delta t}`}</Latex>\n </p>\n <p>\n Se si considera un intervallo di tempo infinitesimale si dice <i>velocità istantanea</i>:\n </p>\n <p>\n <Latex>{r`\\vec{v} = \\lim_{\\Delta t \\to 0} \\frac{\\Delta \\vec{s}}{\\Delta t} = \\frac{d \\vec{s}}{dt}`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Accelerazione\n </h3>\n <p>\n È un vettore che misura la variazione di velocità nel tempo.\n </p>\n <p>\n <Latex>{r`\\vec{a} = \\frac{\\Delta \\vec{v}}{\\Delta t}`}</Latex>\n </p>\n <p>\n Se si considera un intervallo di tempo infinitesimale si dice <i>accelerazione istantanea</i>:\n </p>\n <p>\n <Latex>{r`\\vec{a} = \\lim_{\\Delta v \\to 0} \\frac{\\Delta \\vec{v}}{\\Delta t} = \\frac{d \\vec{v}}{d t} = \\frac{d^2 \\vec{s}}{d t^2}`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Quantità di moto <small>(momento lineare)</small>\n </h3>\n <p>\n La quantità di moto è una proprietà vettoriale dei corpi:\n </p>\n <p>\n <Latex>{r`\\vec{p} = m \\vec{v}`}</Latex>\n </p>\n <p>\n Se la forza risultante è nulla, la quantità di moto non cambia.\n </p>\n <p>\n <Latex>{r`\\Sigma \\vec{F} = 0 \\Longleftrightarrow \\Delta \\vec{p} = 0`}</Latex>\n </p>\n </Panel>\n </Split>\n <h2>\n Moto rettilineo uniforme\n </h2>\n <Split>\n <Panel>\n <h3>\n Spostamento\n </h3>\n <p>\n La <i>legge oraria</i> è:\n </p>\n <p>\n <Latex>{r`s(t) = v \\cdot \\Delta t + s(0)`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Velocità\n </h3>\n <p>\n È costante:\n </p>\n <p>\n <Latex>{r`v(t) = k`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Accelerazione\n </h3>\n <p>\n La velocità non varia:\n </p>\n <p>\n <Latex>{r`a(t) = 0`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Forze\n </h3>\n <p>\n Si applica la prima legge di Newton:\n </p>\n <p>\n <Latex>f(t) = 0</Latex>\n </p>\n </Panel>\n </Split>\n <h2>\n Moto rettilineo uniformemente accelerato\n </h2>\n <Split>\n <Panel>\n <h3>\n Spostamento\n </h3>\n <p>\n La <i>legge oraria</i> è:\n </p>\n <p>\n <Latex>{r`s(t) = \\frac{1}{2} a \\cdot (\\Delta t)^2 + v(0) \\cdot (\\Delta t) + s(0)`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Velocità\n </h3>\n <p>\n È una retta:\n </p>\n <p>\n <Latex>{r`v(t) = a \\Delta t + v(0)`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Accelerazione\n </h3>\n <p>\n È costante:\n </p>\n <p>\n <Latex>{r`a(t) = k`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Forze\n </h3>\n <p>\n Si applica la prima legge di Newton:\n </p>\n <p>\n <Latex>f(t) = m a</Latex>\n </p>\n </Panel>\n </Split>\n <h2>\n Moto armonico semplice\n </h2>\n <Split>\n <Panel>\n <h3>\n Ampiezza\n </h3>\n <p>\n E' la distanza dal centro massima che raggiunge il corpo.\n </p>\n <p>\n (L'ampiezza di una sinusoide.)\n </p>\n </Panel>\n <Panel>\n <h3>\n Velocità angolare\n </h3>\n <p>\n Indica quanto in fretta cambia la posizione del corpo. \n </p>\n <p>\n Dipende dal periodo:\n </p>\n <p>\n <Latex>{r`\\omega = \\frac{2 \\pi}{T}`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Spostamento\n </h3>\n <p>\n E' una sinusoide:\n </p>\n <p>\n <Latex>{r`s(t) = A \\sin (\\omega \\cdot t + \\phi)`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Velocità\n </h3>\n <p>\n E' la sinusoide dello spostamento, sfasata di <Latex>{r`\\frac{\\pi}{2}`}</Latex>:\n </p>\n <p>\n <Latex>{r`s(t) = A \\sin (\\omega \\cdot t + \\phi + \\frac{\\pi}{2})`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Accelerazione\n </h3>\n <p>\n E' la sinusoide della velocità, sfasata di <Latex>{r`\\frac{\\pi}{2}`}</Latex>:\n </p>\n <p>\n <Latex>{r`s(t) = A \\sin (\\omega \\cdot t + \\phi + \\pi)`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Forze\n </h3>\n <p>\n Si applica la prima legge di Newton:\n </p>\n <p>\n <Latex>f(t) = m a</Latex>\n </p>\n </Panel>\n </Split>\n <h2>\n Moti composti\n </h2>\n <Split>\n <Panel>\n <h3>\n Moto parabolico\n </h3>\n <p>\n Il moto parabolico è dato sommando un moto rettilineo uniforme sull'asse orizzontale e un moto rettilineo uniformemente accelerato sull'asse verticale.\n </p>\n </Panel>\n <Panel>\n <h3>\n Moto circolare uniforme\n </h3>\n <p>\n Il moto parabolico è dato sommando due moti armonici semplici: uno sull'asse X, e l'altro, sfasato di <Latex>{r`\\frac{\\pi}{2}`}</Latex>, sull'asse Y.\n </p>\n </Panel>\n </Split>\n <h2>\n Moto circolare uniforme\n </h2>\n <Split>\n <Panel>\n <h3>\n Velocità angolare\n </h3>\n <p>\n Quanto cambia la fase nel tempo.\n </p>\n <p>\n <Latex>{r`\\omega = \\frac{2 \\pi}{T}`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Fase\n </h3>\n <p>\n E' l'angolo percorso dal corpo rispetto alla posizione iniziale.\n </p>\n <p>\n Si indica con <Latex>{r`\\phi`}</Latex>, e generalmente si usa in radianti.\n </p>\n </Panel>\n <Panel>\n <h3>\n Velocità\n </h3>\n <p>\n Si applicano le formule per la circonferenza:\n </p>\n <p>\n <Latex>{r`v = \\frac{\\Delta s}{t} = \\frac{2 \\pi \\cdot r}{T}`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Accelerazione\n </h3>\n <p>\n Il corpo ha sempre un accelerazione verso il centro che gli impedisce di abbandonare il moto: \n </p>\n <p>\n <Latex>{r`a = \\frac{v^2}{r} = r \\cdot \\omega^2 = v \\cdot \\omega`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Forza centripeta\n </h3>\n <h3>\n È verso il centro e si calcola con:\n </h3>\n <p>\n <Latex>{r`F = m \\cdot a`}</Latex>\n </p>\n </Panel>\n </Split>\n <h2>\n Lavoro ed energia\n </h2>\n <Split>\n <Panel>\n <h3>\n Lavoro\n </h3>\n <p>\n E' compiuto da una forza che sposta un corpo.\n </p>\n <p>\n <Latex>{r`W = \\vec{F} \\cdot \\vec{s} = F \\cdot \\Delta s \\cdot cos(\\alpha )`}</Latex>\n </p>\n <p>\n (Se la forza non è parallela allo spostamento, il prodotto scalare ci fa considerare solo la componente parallela.)\n </p>\n </Panel>\n <Panel>\n <h3>\n Energia cinetica\n </h3>\n <p>\n Un corpo ha energia cinetica in ogni momento uguale a:\n </p>\n <p>\n <Latex>{r`E_c = \\frac{1}{2} m v^2`}</Latex>\n </p>\n <p>\n Se una forza effettua lavoro su un corpo, cambia la sua energia cinetica pari al lavoro effettuato:\n </p>\n <p>\n <Latex>{r`\\Delta E_c = W`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Energia potenziale gravitazionale\n </h3>\n <p>\n Un corpo ha energia potenziale in ogni momento pari a: \n </p>\n <p>\n <Latex>{r`E_{p_g} = m \\cdot g \\cdot h`}</Latex>\n </p>\n <p>\n (Con <Latex>h</Latex> uguale a un altezza scelta come punto di riferimento.)\n </p>\n </Panel>\n <Panel>\n <h3>\n Energia potenziale elastica\n </h3>\n <p>\n Una molla ha sempre energia potenziale elastica pari a:\n </p>\n <p>\n <Latex>{r`E_{p_e} = \\frac{1}{2} k x^2`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Forze conservative\n </h3>\n <p>\n Sono conservative le forze per le quali il lavoro compiuto non dipende dal percorso seguito per andare dalla partenza all'arrivo.\n </p>\n <p>\n Ad esempio, è conservativa la <b>forza di gravità</b>, ma non è conservativa la <del>forza di attrito</del>.\n </p>\n <p>\n Se in un sistema ci sono solo forze conservative, allora l'energia meccanica totale si conserva:\n </p>\n <p>\n <Latex>{r`E = E_k + E_p`}</Latex>\n </p>\n </Panel>\n <Panel>\n <h3>\n Potenza\n </h3>\n <p>\n È la velocità di trasferimento di energia:\n </p>\n <p>\n <Latex>{r`P = \\frac{\\Delta E}{\\Delta t}`}</Latex>\n </p>\n </Panel>\n </Split>\n </div>\n )\n\t}\n}\n\n\n\n// WEBPACK FOOTER //\n// ./pages/fisica.js","import style from \"./copyright.css\";\r\nimport { Component } from 'preact';\r\n\r\nexport default class Copyright extends Component {\r\n\trender() {\r\n\t\treturn <div class={style.copyright}>© 2019 - Stefano Pigozzi - <a href=\"https://creativecommons.org/licenses/by-sa/4.0/\">CC BY-SA 4.0</a></div>;\r\n\t}\r\n}\n\n\n// WEBPACK FOOTER //\n// ./components/copyright.js","import './index.css';\nimport { Component } from 'preact';\nimport Fisica from './pages/fisica';\nimport Copyright from './components/copyright';\n\nexport default class App extends Component {\n\trender() {\n\t\treturn (\n\t\t\t<div>\n\t\t\t\t<Fisica></Fisica>\n\t\t\t\t<Copyright></Copyright>\n\t\t\t</div>\n\t\t);\n\t}\n}\n\n\n\n// WEBPACK FOOTER //\n// ./index.js","!function(){\"use strict\";function e(e,t){var n,o,r,i,l=W;for(i=arguments.length;i-- >2;)P.push(arguments[i]);t&&null!=t.children&&(P.length||P.push(t.children),delete t.children);while(P.length)if((o=P.pop())&&void 0!==o.pop)for(i=o.length;i--;)P.push(o[i]);else\"boolean\"==typeof o&&(o=null),(r=\"function\"!=typeof e)&&(null==o?o=\"\":\"number\"==typeof o?o+=\"\":\"string\"!=typeof o&&(r=!1)),r&&n?l[l.length-1]+=o:l===W?l=[o]:l.push(o),n=r;var a=new T;return 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