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render = function render(){var _vm=this,_c=_vm._self._c;return _c('div',[_c('h3',{ref:\"ia\"},[_vm._v(\"\\n    Hooke's Law\\n  \")]),_c('p',[_vm._v(\"\\n    Hooke's law, named after British physicist Robert Hooke, is a fundamental principle in the area of mechanics of materials.\\n    Hooke's law relates the deformation of a spring to the load applied.\\n    Hooke, while experimenting with springs, found that the force required to stretch or compress a spring is linearly proportional to the extent of deformation.\\n    Mathematically, Hooke's law can be expressed as:\\n    $$ F \\\\propto \\\\delta $$\\n    where \\\\(\\\\delta = l - l_0\\\\) is the stretching or compression of the spring (deformed length minus original length).\\n    Expressed as an equality (by introducing a proportionality constant \\\\(k\\\\)):\\n    $$ F = k (l- l_0)$$\\n    where \\\\(F\\\\) is the load applied, \\\\(l\\\\) is the deformed length and \\\\(l_0\\\\) is the original length of spring. The proportionality factor \\\\(k\\\\) is known as spring constant.\\n  \")]),_c('p'),_c('v-responsive',[_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('div',{staticClass:\"edliy-box-about\",attrs:{\"id\":\"jxgbox1\"}})])],1)],1)\n}\nvar staticRenderFns = []\n\nexport { render, staticRenderFns }","const Boxes = {\r\n  box1: function () {\r\n    var board = JXG.JSXGraph.initBoard('jxgbox1', {boundingbox: [-2, 12, 14, -4], keepaspectratio: true, axis:false, grid:true, ticks:false, showCopyright:false, showNavigation:false, pan:{enabled:false}, zoom:{enabled:false}});\r\n    //\r\n    board.options.board.minimizeReflow = 'none';\r\n    board.options.text.highlight=false;\r\n    board.options.text.fixed=true;\r\n    board.options.image.highlight=false;\r\n    board.options.text.cssDefaultStyle='fontFamily:Oswald';\r\n    board.options.line.highlight=false;\r\n    board.options.arc.highlight=false;\r\n    board.options.point.highlight=false;\r\n    board.options.point.showInfoBox=false;\r\n    //\r\n    var resize = function () {\r\n          board.resizeContainer(board.containerObj.clientWidth, board.containerObj.clientHeight, true);\r\n          board.fullUpdate();\r\n          };\r\n    window.onresize = resize;\r\n    //\r\n    let xAxis =board.create('axis', [[0, -1],[5, -1]], { strokeColor:'grey',\r\n      highlight:false, strokeWidth: ()=>Math.round(2*board.canvasWidth/800.),\r\n      withLabel:true, name: '', straightFirst:false, straightLast:true, lastArrow:false,\r\n        label: {\r\n          display:'internal',\r\n          fontSize:function(){return 24*board.canvasHeight/800},\r\n          CssStyle: 'fontFamily:Oswald;fontWeight:bold',\r\n          position: 'rt',\r\n          offset: [-20, 20]}});\r\n  //\r\n    var line = board.create('line', [[0,0], [100, 0]], {visible: false, straightFirst: false, straightLast: false});\r\n    //\r\n    var point = board.create('glider', [8, 0, line], {name: '', size:function(){return 45*board.canvasHeight/800}, face:'square'});\r\n    //\r\n    var ktext= board.create('text',[function(){return point.X()/2.0}, 1.5, 'k'],{cssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(16*board.canvasWidth/500.)}, fixed:true});\r\n    //\r\n    var mtext= board.create('text',[function(){return point.X()-0.25}, 0, 'm'],{cssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(16*board.canvasWidth/500.)}, fixed:true});\r\n    //\r\n    var isInDragMode = false;\r\n    //\r\n    var springHangup = board.create('point', [0, 0], {color: 'black', name: '', fixed: true, visible:false});\r\n    //\r\n    var i=0;\r\n    var numberOfSpringRings = 100;\r\n    var springRings = [];\r\n    //\r\n    for(i=0; i<numberOfSpringRings; i++) {\r\n        springRings[i] = board.create('point', [function(i){return function(){return (point.X()/numberOfSpringRings)*i};}(i), function(i) {return function() { return 0.5*Math.sin(5000*i)};}(i) ], {withLabel: false, visible:false, color: 'black', size: 1});\r\n          if(i>0)\r\n            board.create('segment', [springRings[i-1], springRings[i]], {color: 'blue', strokeWidth: 2});\r\n          };\r\n    //\r\n  //const c = 0.001;\r\n//   var c = board.create('slider',[[2.,7.],[9.,7.],[0.0, 0.01, 0.05]],{unitLabel:' 1/s',baseline:{strokeWidth:7, strokeColor:'grey'},highline:{strokeWidth:7, strokeColor:'black'}, name:'c',size:function(){return 8*board.canvasHeight/800},face:'circle', fillColor:'grey',strokeColor:'black', withTicks:false, label:{fontSize:function(){return Math.round(14*board.canvasWidth/500.)}, cssStyle:'fontFamily:Oswald;'}});\r\n    //\r\n    var m = board.create('slider',[[2.,5.],[5.,5.],[0.25, 0.5, 1]],{unitLabel:' kg',snapWidth:0.25, baseline:{strokeWidth:7, strokeColor:'grey', lineCap:'round'},highline:{strokeWidth:7, strokeColor:'black', lineCap:'round'}, name:'&nbsp; &nbsp; m',size:function(){return 8*board.canvasHeight/800},face:'circle', fillColor:'red',strokeColor:'black', withTicks:false, label:{fontSize:function(){return Math.round(14*board.canvasWidth/500.)}, cssStyle:'fontFamily:Oswald;'}});\r\n    //\r\n    var k = board.create('slider',[[2.,3.],[5.,3.],[0.25, 0.25, 1]],{unitLabel:' N/m', snapWidth:0.25, baseline:{strokeWidth:7, strokeColor:'grey', lineCap:'round'},highline:{strokeWidth:7, strokeColor:'black', lineCap:'round'}, name:'&nbsp; &nbsp; k',size:function(){return 8*board.canvasHeight/800},face:'circle', fillColor:'blue',strokeColor:'black', withTicks:false, label:{fontSize:function(){return Math.round(14*board.canvasWidth/500.)}, cssStyle:'fontFamily:Oswald;'}});\r\n    //\r\n    var vbase=board.create('polygon',[[0,-4.75],[25,-4.75],[25,-0.95],[0, -0.95]], {fillColor:'lightgrey',fillOpacity:0.6, withLines:false, vertices:{visible:false}});\r\n    //\r\n    var hbase=board.create('polygon',[[-5,-4.75],[0,-4.75],[0,15],[-5, 15]], {fillColor:'lightgrey', fillOpacity:0.6, withLines:false, vertices:{visible:false}});\r\n    board.create('segment', [springHangup, springRings[0]], {color: 'black', strokeWidth: 1});\r\n    //\r\n    board.create('segment', [springRings[numberOfSpringRings-1], point], {strokeColor: 'black', strokeWidth: 1});\r\n    //\r\n    var map= board.create('text',[6, 10.5, '<b>Spring-Mass System</b>'],{anchorX:'middle', cssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(32*board.canvasWidth/800.)}, fixed:true});\r\n    //\r\n    board.create('point', [function(){return point.X()-0.1}, 1.5-3], {name: '', color:'black', size:function(){return 4*board.canvasHeight/800}, face:'triangleright'});\r\n//\r\n    board.create('point', [0.1, 1.5-3], {name: '', color:'black', size:function(){return 4*board.canvasHeight/800}, face:'triangleleft', fixed:true});\r\n    //\r\n    board.create('segment', [[function(){return point.X()}, 1.5-3],[0, 1.5-3] ], {fixed:true, strokeColor:'black', strokeWidth:1});\r\n    //\r\n    function startAnimation(startY) {\r\n      point.moveAlong(function() {\r\n    var f = function(t, x) {\r\n            return [x[1],  -(k.Value()/m.Value()) * (x[0]-8)];};\r\n    var area = [0, 200];\r\n    var numberOfEvaluations = (area[1] - area[0]) * 100;\r\n    var data = JXG.Math.Numerics.rungeKutta('heun', [startY, 0], area, numberOfEvaluations, f);\r\n    var duration = 20 * 1e3;\r\n    return function(t) {\r\n        if (t >= duration)\r\n            return NaN;\r\n        return [data[Math.floor(t / duration * numberOfEvaluations)][0], startY];}\r\n        }());}\r\n//\r\n    function hook() {\r\n      if(!isInDragMode) {\r\n    if(board.mode === board.BOARD_MODE_DRAG) {\r\n        board.stopAllAnimation();\r\n        isInDragMode = true;\r\n    }\r\n    }\r\n    if(isInDragMode) {\r\n    if(board.mode !== board.BOARD_MODE_DRAG) {\r\n        isInDragMode = false;\r\n        startAnimation(point.X());\r\n    }\r\n    }\r\n    }\r\n    board.addHook(hook);\r\n//    startAnimation(10);\r\n},\r\n}\r\nexport default Boxes;\r\n","<template>\r\n  <div>\r\n    <h3 ref=\"ia\">\r\n      Hooke's Law\r\n    </h3>\r\n    <p>\r\n      Hooke's law, named after British physicist Robert Hooke, is a fundamental principle in the area of mechanics of materials.\r\n      Hooke's law relates the deformation of a spring to the load applied.\r\n      Hooke, while experimenting with springs, found that the force required to stretch or compress a spring is linearly proportional to the extent of deformation.\r\n      Mathematically, Hooke's law can be expressed as:\r\n      $$ F \\propto \\delta $$\r\n      where \\(\\delta = l - l_0\\) is the stretching or compression of the spring (deformed length minus original length).\r\n      Expressed as an equality (by introducing a proportionality constant \\(k\\)):\r\n      $$ F = k (l- l_0)$$\r\n      where \\(F\\) is the load applied, \\(l\\) is the deformed length and \\(l_0\\) is the original length of spring. The proportionality factor \\(k\\) is known as spring constant.\n    </p>\r\n    <p />\r\n    <v-responsive>\r\n      <v-layout justify-center>\r\n        <div id=\"jxgbox1\" class=\"edliy-box-about\" />\r\n      </v-layout>\r\n    </v-responsive>\r\n  </div>\r\n</template>\r\n<script>\r\nimport Boxes from './Boxes.js'\r\nexport default {\r\n  name: 'Resistors',\r\n  created: function () {\r\n    this.$store.commit('navigation/resetState');\r\n    let title = 'Oscillations of Spring-Mass System';\r\n    this.$store.commit('navigation/changeTitle', title);\r\n    this.$store.commit('navigation/changeMenu', title);\r\n    let newTopics = [\r\n      {title: 'Hooke\\'s Law', img:'/assets/number-1.svg', action: () => this.goto('ia')},\r\n      {title: 'Implications of Hooke\\'s law', img:'/assets/number-2.svg', action: () => this.goto('ca')},\r\n      {title: 'PlayGraph: Hooke\\'s Experiment',img:'/assets/touch.svg', action: () => this.goto('graphical')},\r\n    ];\r\n    this.$store.commit('navigation/replaceTopics', newTopics);\r\n    let newshowhome = false;\r\n    this.$store.commit('navigation/toggleshowhome', newshowhome);\r\n    let newPhys =true;\r\n    this.$store.commit('navigation/replacePhys', newPhys);\r\n    let newLeftArrow =true;\r\n    this.$store.commit('navigation/replaceLeftArrow', newLeftArrow);\r\n    let newModule=true;\r\n    this.$store.commit('navigation/replaceModule', newModule);\r\n  },\r\n  mounted () {\r\n    MathJax.Hub.Queue([\"Typeset\", MathJax.Hub]);\r\n    Boxes.box1();\r\n  },\r\n  beforeDestroy(){\r\n  Boxes.destroy();\r\n  },\r\n}\r\n</script>\r\n<style lang=\"scss\">\r\n@import 'src/styles/edliy-box.scss';\r\n@import 'src/styles/subtopic-menu.scss';\r\n@import 'src/styles/edliy-box-about.scss';\r\n@import 'src/styles/screen-sizes.scss';\r\n</style>\r\n","import mod from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Spring.vue?vue&type=script&lang=js&\"; export default mod; export * from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Spring.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Spring.vue?vue&type=template&id=01a31292&\"\nimport script from \"./Spring.vue?vue&type=script&lang=js&\"\nexport * from \"./Spring.vue?vue&type=script&lang=js&\"\nimport style0 from \"./Spring.vue?vue&type=style&index=0&id=01a31292&prod&lang=scss&\"\n\n\n/* normalize component */\nimport normalizer from \"!../../../../../node_modules/vue-loader/lib/runtime/componentNormalizer.js\"\nvar component = normalizer(\n  script,\n  render,\n  staticRenderFns,\n  false,\n  null,\n  null,\n  null\n  \n)\n\nexport default component.exports","export * from \"-!../../../../../node_modules/mini-css-extract-plugin/dist/loader.js??ref--8-oneOf-1-0!../../../../../node_modules/css-loader/index.js??ref--8-oneOf-1-1!../../../../../node_modules/vue-loader/lib/loaders/stylePostLoader.js!../../../../../node_modules/postcss-loader/src/index.js??ref--8-oneOf-1-2!../../../../../node_modules/sass-loader/dist/cjs.js??ref--8-oneOf-1-3!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Spring.vue?vue&type=style&index=0&id=01a31292&prod&lang=scss&\""],"sourceRoot":""}