{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter6-SIMPLE MACHINES" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Example 6.1" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mechanical advantage-- 20.0\n", "Velocity Ratio 25.0\n", "Efficiency 0.8\n", "Ideal Load 12500.0\n", "Ideal Effort 400.0\n", "Effort lost in friction 100.0\n", "frictional resistance 2500.0\n" ] } ], "source": [ "import math\n", "W = 10000.0 #Load\n", "P = 500.0 #Effort\n", "D = 20.0 #Distance moved by the effort \n", "d = 0.8 #Distance moved by the load \n", "MA=W/P #Mechanical advantage\n", "VR=D/d #Velocity Ratio\n", "Efficiency=MA/VR\n", "Pi =W/VR #Ideal effort\n", "Wi = P*VR #ideal load\n", "efl=P-Pi #Effort lost in friction\n", "Fr=Wi-W #frictional resistance\n", "print \"Mechanical advantage--\",MA\n", "print \"Velocity Ratio\",VR\n", "print \"Efficiency\",Efficiency\n", "print \"Ideal Load\",Wi\n", "print \"Ideal Effort\",Pi\n", "print \"Effort lost in friction\",efl\n", "print \"frictional resistance\",Fr\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Example 6.2" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Law of machine is P= 0.05 W + 30.0\n", "Load is 3400.0 N\n", "Mechanical advantage-- 17.0\n", "Ideal effort is 113.333333333 N\n", "Effort lost in friction 86.6666666667\n", "Efficiency 56.6666666667\n" ] } ], "source": [ "import math\n", "W1 = 2400.0 #Load 1\n", "P1= 150.0 #Effort1\n", "\n", "W2 = 3000.0 #Load 2\n", "P2= 180.0 #Effort2\n", "P3= 200.0 #Effort3\n", "#law of machine is given by P=mW+C\n", "m=(P2-P1)/(W2-W1)\n", "C=P2-m*W2\n", "print \"Law of machine is P=\",m,\"W\",\"+\",C\n", "W3=(P3-C)/m #Load 2\n", "print \"Load is \",W3,\"N\"\n", "MA=W3/P3 #Mechanical advantage\n", "print \"Mechanical advantage--\",MA\n", "VR=30.0 #Velocity Ratio\n", "Efficiency=MA/VR*100\n", "Pi =W3/VR #Ideal effort\n", "print \"Ideal effort is\",Pi,\"N\"\n", "\n", "efl=P3-Pi #Effort lost in friction\n", "\n", "print \"Effort lost in friction\",efl\n", "print \"Efficiency\",Efficiency" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Example 6.3" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mechanical advantage-- 51.3333333333\n", "Velocity Ratio 85.5555555556\n", "Efficiency 61.7142857143\n", "Maximum Mechanical advantage-- 55.0\n", "Maximum Efficiency 64.2857142857\n" ] } ], "source": [ "import math\n", "W1 = 7700.0 #Load 1\n", "P1= 150.0 #Effort1\n", "MA=W1/P1 #Mechanical advantage\n", "Efficiency=0.6\n", "VR=MA/Efficiency #Velocity Ratio\n", "print \"Mechanical advantage--\",MA\n", "print \"Velocity Ratio\",VR\n", "W2 = 13200.0 #Load 2\n", "P2= 250.0 #Effort2\n", "MA=W2/P2\n", "Efficiency=MA/VR*100\n", "print \"Efficiency\",Efficiency\n", "#law of machine is given by P=mW+C\n", "m=(P2-P1)/(W2-W1)\n", "\n", "\n", "MMA=1/m #Maximum Mechanical advantage\n", "print \"Maximum Mechanical advantage--\",MMA\n", "\n", "MaxEfficiency=MMA/VR*100\n", "\n", "print \"Maximum Efficiency\",MaxEfficiency" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Example 6.4" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Law of machine is P= 0.06 W + 10.5\n" ] }, { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support.' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " this.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width);\n", " canvas.attr('height', height);\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
')\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('