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render = function render(){var _vm=this,_c=_vm._self._c;return _c('div',[_c('h3',{ref:\"ia\"},[_vm._v(\"\\n    Balance of Moments\\n  \")]),_c('p',[_vm._v(\"\\n    For a body to be in rotation equilibrium, the sum of all external moments acting on the body must be zero. This is called law of balance of moments.\\n  \")]),_c('h3',[_vm._v(\"Moment due to Weight of a Point Mass\")]),_c('p',[_vm._v(\"\\n    The moment of a force \\\\(\\\\mathbf F\\\\) about a point O can be expressed as\\n    $$\\\\mathbf M_o =\\\\mathbf r \\\\times \\\\mathbf F$$\\n    where \\\\(\\\\mathbf r\\\\) is the vector pointing from point O to the point of application of force.\\n    For a system of \\\\(N\\\\) forces \\\\(\\\\mathbf F_1\\\\), \\\\(\\\\mathbf F_2\\\\), ..., \\\\(\\\\mathbf F_N\\\\), the net moment can be calculated as\\n    $$\\\\mathbf M_o = \\\\sum \\\\mathbf r_i \\\\times \\\\mathbf F_i$$\\n    where \\\\(\\\\mathbf r_i\\\\) is the respective postion vector.\\n  \")]),_c('h3',{ref:\"pg\"},[_vm._v(\"\\n    MagicGraph: Balancing a Scale\\n  \")]),_c('p',[_vm._v(\"\\n    Using the MagicGraph below, determine how many ways can the 1 kg, 3 kg and\\n    5 kg weights be arranged on the right arm of the scale to balance the 10 kg weight on the left arm.\\n    Place the weights on the scale arm. Then, move the palm away to explore.\\n  \")]),_c('v-responsive',{attrs:{\"aspect-ratio\":1}},[_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 brd1 = JXG.JSXGraph.initBoard('jxgbox1',{boundingbox: [-7, 8, 6, -5],\r\n    keepaspectratio: true, axis:true, ticks:{visible:false},\r\n    grid:true, showCopyright:false, showNavigation:false,\r\n    pan:{enabled:false}, zoom:{enabled:false}});\r\n    brd1.options.layer['image'] =14;\r\nbrd1.create('text', [-6, 7., '<b> Balance of Moment <b>'],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(32*brd1.canvasWidth/500.)}, fixed:true});\r\nbrd1.create('text', [-6, 5.5, 'How many ways can the 1 kg, 3 kg and 5 kg weights be arranged on the right arm of the lever to balance the 10 kg weight on the left arm?'],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd1.canvasWidth/500.)}, fixed:true});\r\nbrd1.create('text', [-6, 4.5, 'Place the weights on the lever arm. Then, move the palm away.'],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd1.canvasWidth/500.)}, fixed:true});\r\n//Order \r\n//brd1.options.layer['imcrane'] =1; \r\n//brd1.options.layer['seesaw'] =2; \r\n//\r\n//Variables\r\nvar W1kg = 1;\r\nvar W3kg = 3;\r\nvar W5kg = 5;\r\nvar W10kg = 10;\r\nvar tt =0;\r\n//\r\nvar support = brd1.create('point', [0, -0.35],\r\n            {name:'', snapToGrid:false, \r\n            face:'^',size:20, strokeColor:'black', fillColor:'red', \r\n            fixed:true});\r\n//\r\nvar Pt11 = brd1.create('point', [-5,0],{name:'', size:0, fixed:true});\r\nvar Pt1 = brd1.create('point', [-5,0],{name:'Pt1', size:0,withLabel:false, fixed:true});\r\nvar Pt0 = brd1.create('point', [0,0],{name:'Pt0', size:0,withLabel:false, fixed:true});\r\nvar p10kg = brd1.create('point', [-2, 0],{name:'', face:'square', size:2, strokeColor:'white', fillColor:'red'});\r\n\r\nvar p2 = brd1.create('point', [5, 0],{name:'p2', size:0,withLabel:false});\r\n//seesaw\r\nvar seesaw = brd1.create('segment', [Pt1, p2],{strokeWidth:12, strokeColor:'black'});\r\nvar ang =brd1.create('angle', [Pt11,Pt0, p10kg],{visible:false});\r\n//brd1.create('text', [-6, 3.5, function(){return ''+ ang.Value()*180/Math.PI+45;}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd1.canvasWidth/500.)}, fixed:true});\r\n//Points on seesaw\r\nvar p00 = brd1.create('point', [0, 0],{name:'', size:2, strokeColor:'white', fillColor:'red', fixed:true});\r\nvar p01 = brd1.create('point', [1, 0],{name:'', size:2, strokeColor:'white', fillColor:'red', fixed:true});\r\nvar p02 = brd1.create('point', [2, 0],{name:'', size:2, strokeColor:'white', fillColor:'red', fixed:true});\r\nvar p03 = brd1.create('point', [3, 0],{name:'', size:2, strokeColor:'white', fillColor:'red', fixed:true});\r\nvar p04 = brd1.create('point', [4, 0],{name:'', size:2, strokeColor:'white', fillColor:'red', fixed:true});\r\nvar pm1 = brd1.create('point', [-1, 0],{name:'', face:'square', size:2, strokeColor:'white', fillColor:'red', fixed:true});\r\nvar pm2 = brd1.create('point', [-3, 0],{name:'', face:'square', size:2, strokeColor:'white', fillColor:'red', fixed:true});\r\nvar pm3 = brd1.create('point', [-4, 0],{name:'', face:'square', size:2, strokeColor:'white', fillColor:'red', fixed:true});\r\n//Weight container\r\nbrd1.create('polygon',[[-15,-3.],[15,-3.],[15,-10],[-15, -10]], {fillColor:'grey', withLines:false, fillOpacity:1, vertices:{visible:false}, borders:{visible:false}});\r\n//var im1kg = brd1.create('image', ['/assets/one.svg', [function(){return p1kg.X()-0.25},function(){return p1kg.Y()+0.1}], [0.5,0.5]],{rotate: function(){return ang.Value()*180/Math.PI}});\r\nvar i=function(){if(im1kg.Y()>=0){return 1} else{return 0}};\r\nvar j=function(){if(im3kg.Y()>=0){return 1} else{return 0}};\r\nvar k=function(){if(im5kg.Y()>=0){return 1} else{return 0}};\r\nvar im1kg = brd1.create('image', ['/assets/onekg.svg', [1, -3], [0.5,0.5]],{rotate:45,attractors: [p00, p01, p02, p03, p04], attractorDistance: 0.5, snatchDistance:0.25});\r\nvar im3kg = brd1.create('image', ['/assets/threekg.svg', [2, -3], [0.6,0.6]],{rotate:45, attractors: [p00, p01, p02, p03, p04], attractorDistance: 0.5, snatchDistance:0.25});\r\nvar im5kg = brd1.create('image', ['/assets/fivekg.svg', [3.2, -3], [0.8,0.8]],{rotate:45, attractors: [p00, p01, p02, p03, p04], attractorDistance: 0.5, snatchDistance:0.25});\r\nvar im10kg = brd1.create('image', ['/assets/tenkg.svg', [function(){return p10kg.X();},function(){return p10kg.Y();}], [1,1]],{rotate: function(){return 45+ang.Value()*180/Math.PI}});\r\n//truck\r\n//var t1 = brd1.create('point', [4, -1],{name:'t1', size:0,withLabel:false, fixed:true});\r\n//var t2 = brd1.create('point', [8, -1],{name:'t2', size:0,withLabel:false, fixed:true});\r\n//var lineTruck = brd1.create('segment', [t1,t2],{strokeWidth:1,dash:1, strokeColor:'black', fixed:true});\r\n//var truck = brd1.create('glider', [4,-1, lineTruck], {face: 'o' , size:3, name:'Drag me', strokeColor:'black'});\r\n//var lineTruck2 = brd1.create('segment', [function(){return truck.valueOf()},t2],{strokeWidth:1, strokeColor:'black', fixed:true});\r\n//\r\nvar imtruck = brd1.create('image', ['/assets/right.svg', [-4.75, 0.5], [1.5,1.5]],{rotate:-90});\r\nvar res = brd1.create('image', ['/assets/reloading.svg', [-5.5,-2.5],[1, 1]], {opacity:1, fixed:true});\r\n\r\nvar distW1 =function() {\r\n    if(im1kg.X()>=0 && im1kg.Y()==0){\r\n        return im1kg.X();\r\n    }\r\n    else{\r\n        return 0;\r\n    }\r\n}\r\n//brd1.create('text', [2, 2, function(){return \"DistW1 \"+ distW1()}]);\r\nvar distW3 = function(){\r\n    if(im3kg.X()>=0 && im3kg.Y()==0){\r\n        return im3kg.X();\r\n    }\r\n    else{\r\n        return 0;\r\n    }\r\n}\r\nvar distW5= function(){\r\n    if(im5kg.X()>=0 && im5kg.Y()==0){\r\n        return im5kg.X();\r\n    }\r\n    else{\r\n        return 0;\r\n    }\r\n}\r\n// ANGLE OF SEESAW\r\nfunction angle (){\r\n    if(W10kg.valueOf()*Math.abs(p10kg.X())-W1kg.valueOf()*distW1()-W3kg.valueOf()*distW3()-W5kg.valueOf()*distW5()>0) //10kg moment graeter\r\n    { \r\n    return tt = Math.PI/8;\r\n    }\r\n    else if(W10kg.valueOf()*Math.abs(p10kg.X())-W1kg.valueOf()*distW1()-W3kg.valueOf()*distW3()-W5kg.valueOf()*distW5()<0) //Right moment graeter than 10kg moment \r\n    { \r\n       return tt= -Math.PI/8;\r\n    }\r\n     else\r\n    { \r\n       return tt= 0;\r\n    }\r\n};\r\n//MOVEMENT\r\nimtruck.on('drag', function(){tt = angle();\r\n    p2.moveTo([5*Math.cos(tt), 5*Math.sin(tt)], 1000);\r\n    Pt1.moveTo([5*Math.cos(Math.PI+tt), 5*Math.sin(Math.PI+ tt)], 1000);\r\n    p10kg.moveTo([2*Math.cos(Math.PI+tt), 2*Math.sin(Math.PI+ tt)], 1000);\r\n\tpm1.moveTo([1*Math.cos(Math.PI+tt), 1*Math.sin(Math.PI+ tt)], 1000);\r\n\tpm2.moveTo([3*Math.cos(Math.PI+tt), 3*Math.sin(Math.PI+ tt)], 1000);\r\n\tpm3.moveTo([4*Math.cos(Math.PI+tt), 4*Math.sin(Math.PI+ tt)], 1000);\r\n    p01.moveTo([1*Math.cos(tt), 1*Math.sin(tt)], 1000);\r\n    p02.moveTo([2*Math.cos(tt), 2*Math.sin(tt)], 1000);\r\n    p03.moveTo([3*Math.cos(tt), 3*Math.sin(tt)], 1000);\r\n    p04.moveTo([4*Math.cos(tt), 4*Math.sin(tt)], 1000);});\r\n//\t\r\nimtruck.on('drag', function(){tt = angle();   \r\n\tif(distW1()>0){\r\n    im1kg.moveTo([distW1()*Math.cos(tt), distW1()*Math.sin(tt)], 1000)};\r\n});\r\n//\r\nimtruck.on('drag', function(){tt = angle(); \r\n\tif(distW3()>0){\r\n       im3kg.moveTo([distW3()*Math.cos(tt), distW3()*Math.sin(tt)], 1000)};\r\n});\r\n//\r\nimtruck.on('drag', function(){tt = angle(); \r\n\tif(distW5()>0){\r\n       im5kg.moveTo([distW5()*Math.cos(tt), distW5()*Math.sin(tt)], 1000)};\r\n});\r\nres.on('down', function(){tt = 0;\r\n    p2.moveTo([5*Math.cos(tt), 5*Math.sin(tt)]);\r\n    Pt1.moveTo([5*Math.cos(Math.PI+tt), 5*Math.sin(Math.PI+ tt)]);\r\n    p10kg.moveTo([2*Math.cos(Math.PI+tt), 2*Math.sin(Math.PI+ tt)]);\r\n\tpm1.moveTo([1*Math.cos(Math.PI+tt), 1*Math.sin(Math.PI+ tt)]);\r\n\tpm2.moveTo([3*Math.cos(Math.PI+tt), 3*Math.sin(Math.PI+ tt)]);\r\n\tpm3.moveTo([4*Math.cos(Math.PI+tt), 4*Math.sin(Math.PI+ tt)]);\r\n    p01.moveTo([1*Math.cos(tt), 1*Math.sin(tt)]);\r\n    p02.moveTo([2*Math.cos(tt), 2*Math.sin(tt)]);\r\n    p03.moveTo([3*Math.cos(tt), 3*Math.sin(tt)]);\r\n    p04.moveTo([4*Math.cos(tt), 4*Math.sin(tt)]);\r\n    imtruck.moveTo([-4.75, 0.5]);\r\n    im1kg.moveTo([1, -3]);    \r\n    im3kg.moveTo([2, -3]);\r\n    im5kg.moveTo([3.2, -3]);\r\n    }\r\n\t);\r\nim1kg.on('down', function(){imtruck.moveTo([-4.75, 0.5])});\r\nim5kg.on('down', function(){imtruck.moveTo([-4.75, 0.5])});\r\nim3kg.on('down', function(){imtruck.moveTo([-4.75, 0.5])});\r\n      },\r\n}\r\nexport default Boxes;\r\n","<template>\r\n  <div>\r\n    <h3 ref=\"ia\">\r\n      Balance of Moments\r\n    </h3>\r\n    <p>\r\n      For a body to be in rotation equilibrium, the sum of all external moments acting on the body must be zero. This is called law of balance of moments.\r\n    </p>\r\n    <h3>Moment due to Weight of a Point Mass</h3>\r\n    <p>\r\n      The moment of a force \\(\\mathbf F\\) about a point O can be expressed as\r\n      $$\\mathbf M_o =\\mathbf r \\times \\mathbf F$$\r\n      where \\(\\mathbf r\\) is the vector pointing from point O to the point of application of force.\r\n      For a system of \\(N\\) forces \\(\\mathbf F_1\\), \\(\\mathbf F_2\\), ..., \\(\\mathbf F_N\\), the net moment can be calculated as\r\n      $$\\mathbf M_o = \\sum \\mathbf r_i \\times \\mathbf F_i$$\r\n      where \\(\\mathbf r_i\\) is the respective postion vector.\r\n    </p>\r\n    <h3 ref=\"pg\">\n      MagicGraph: Balancing a Scale\n    </h3>\r\n    <p>\r\n      Using the MagicGraph below, determine how many ways can the 1 kg, 3 kg and\r\n      5 kg weights be arranged on the right arm of the scale to balance the 10 kg weight on the left arm.\r\n      Place the weights on the scale arm. Then, move the palm away to explore.\r\n    </p>\r\n    <v-responsive\r\n      :aspect-ratio=\"1\"\r\n    >\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: 'MoI',\r\n  created: function () {\r\n    this.$store.commit('navigation/resetState');\r\n    let title = 'Balance of Moments';\r\n    this.$store.commit('navigation/changeTitle', title);\r\n    this.$store.commit('navigation/changeMenu', title);\r\n    let newTopics = [\r\n      {title: 'Moment of Inertia: Definition?', img:'/assets/number-1.svg', action: () => this.goto('ia')},\r\n      {title: 'Point Mass', img:'/assets/number-2.svg', action: () => this.goto('ca')},\r\n      {title: 'MagicGraph:Balancing a Scale' ,img:'/assets/touch.svg', action: () => this.goto('graphical')},\r\n    ];\r\n    this.$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}\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!./Lesson.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!./Lesson.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Lesson.vue?vue&type=template&id=295826c2&\"\nimport script from \"./Lesson.vue?vue&type=script&lang=js&\"\nexport * from \"./Lesson.vue?vue&type=script&lang=js&\"\nimport style0 from \"./Lesson.vue?vue&type=style&index=0&id=295826c2&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!./Lesson.vue?vue&type=style&index=0&id=295826c2&prod&lang=scss&\""],"sourceRoot":""}