// Numbas version: exam_results_page_options
{"name": "V-M 2: Concentrated moments", "extensions": ["geogebra", "quantities"], "custom_part_types": [{"source": {"pk": 19, "author": {"name": "William Haynes", "pk": 2530}, "edit_page": "/part_type/19/edit"}, "name": "Engineering Accuracy with units", "short_name": "engineering-answer", "description": "<p>A value with units marked right if within an adjustable % error of the correct value. &nbsp;Marked close if within a wider margin of error.</p>", "help_url": "", "input_widget": "string", "input_options": {"correctAnswer": "siground(settings['correctAnswer'],4)", "hint": {"static": true, "value": ""}, "allowEmpty": {"static": true, "value": true}}, "can_be_gap": true, "can_be_step": true, "marking_script": "mark:\nswitch( \n  right and good_units and right_sign, add_credit(1.0,'Correct.'),\n  right and good_units and not right_sign, add_credit(settings['C2'],'Wrong sign.'),\n  right and right_sign and not good_units, add_credit(settings['C2'],'Correct value, but wrong or missing units.'),\n  close and good_units, add_credit(settings['C1'],'Close.'),\n  close and not good_units, add_credit(settings['C3'],'Answer is close, but wrong or missing units.'),\n  incorrect('Wrong answer.')\n)\n\n\ninterpreted_answer:\nqty(student_scalar, student_units)\n\n\n\ncorrect_quantity:\nsettings[\"correctAnswer\"]\n\n\n\ncorrect_units:\nunits(correct_quantity)\n\n\nallowed_notation_styles:\n[\"plain\",\"en\"]\n\nmatch_student_number:\nmatchnumber(studentAnswer,allowed_notation_styles)\n\nstudent_scalar:\nmatch_student_number[1]\n\nstudent_units:\nreplace_regex('ohms','ohm',\n  replace_regex('\u00b0', ' deg',\n    replace_regex('-', ' ' ,\n      studentAnswer[len(match_student_number[0])..len(studentAnswer)])),\"i\")\n\ngood_units:\ntry(\ncompatible(quantity(1, student_units),correct_units),\nmsg,\nfeedback(msg);false)\n\n\nstudent_quantity:\nswitch(not good_units, \n       student_scalar * correct_units, \n       not right_sign,\n       -quantity(student_scalar, student_units),\n       quantity(student_scalar,student_units)\n)\n  \n\n\npercent_error:\ntry(\nscalar(abs((correct_quantity - student_quantity)/correct_quantity))*100  \n,msg,\nif(student_quantity=correct_quantity,0,100))\n   \n\nright:\npercent_error <= settings['right']\n\n\nclose:\nright_sign and percent_error <= settings['close']\n\nright_sign:\nsign(student_scalar) = sign(correct_quantity)", "marking_notes": [{"name": "mark", "description": "This is the main marking note. It should award credit and provide feedback based on the student's answer.", "definition": "switch( \n  right and good_units and right_sign, add_credit(1.0,'Correct.'),\n  right and good_units and not right_sign, add_credit(settings['C2'],'Wrong sign.'),\n  right and right_sign and not good_units, add_credit(settings['C2'],'Correct value, but wrong or missing units.'),\n  close and good_units, add_credit(settings['C1'],'Close.'),\n  close and not good_units, add_credit(settings['C3'],'Answer is close, but wrong or missing units.'),\n  incorrect('Wrong answer.')\n)\n"}, {"name": "interpreted_answer", "description": "A value representing the student's answer to this part.", "definition": "qty(student_scalar, student_units)\n\n"}, {"name": "correct_quantity", "description": "", "definition": "settings[\"correctAnswer\"]\n\n"}, {"name": "correct_units", "description": "", "definition": "units(correct_quantity)\n"}, {"name": "allowed_notation_styles", "description": "", "definition": "[\"plain\",\"en\"]"}, {"name": "match_student_number", "description": "", "definition": "matchnumber(studentAnswer,allowed_notation_styles)"}, {"name": "student_scalar", "description": "", "definition": "match_student_number[1]"}, {"name": "student_units", "description": "<p>Modify&nbsp;the&nbsp;unit portion of&nbsp;the student's answer by</p>\n<p>1. replacing \"ohms\" with \"ohm\" &nbsp;case insensitive</p>\n<p>2.&nbsp;replacing '-'&nbsp;with ' '&nbsp;</p>\n<p>3. replacing '&deg;' with ' deg'&nbsp;</p>\n<p>to allow answers like 10 ft-lb and 30&deg;</p>", "definition": "replace_regex('ohms','ohm',\n  replace_regex('\u00b0', ' deg',\n    replace_regex('-', ' ' ,\n      studentAnswer[len(match_student_number[0])..len(studentAnswer)])),\"i\")"}, {"name": "good_units", "description": "", "definition": "try(\ncompatible(quantity(1, student_units),correct_units),\nmsg,\nfeedback(msg);false)\n"}, {"name": "student_quantity", "description": "<p>This fixes the student answer for two common errors. &nbsp;</p>\n<p>If student_units are wrong&nbsp;&nbsp;- replace with correct units</p>\n<p>If student_scalar has the wrong sign - replace with right sign</p>\n<p>If student makes both errors, only one gets fixed.</p>", "definition": "switch(not good_units, \n       student_scalar * correct_units, \n       not right_sign,\n       -quantity(student_scalar, student_units),\n       quantity(student_scalar,student_units)\n)\n  \n"}, {"name": "percent_error", "description": "", "definition": "try(\nscalar(abs((correct_quantity - student_quantity)/correct_quantity))*100  \n,msg,\nif(student_quantity=correct_quantity,0,100))\n   "}, {"name": "right", "description": "", "definition": "percent_error <= settings['right']\n"}, {"name": "close", "description": "<p>Only marked close if the student actually has the right sign.</p>", "definition": "right_sign and percent_error <= settings['close']"}, {"name": "right_sign", "description": "", "definition": "sign(student_scalar) = sign(correct_quantity) "}], "settings": [{"name": "correctAnswer", "label": "Correct Quantity.", "help_url": "", "hint": "The correct answer given as a JME quantity.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "right", "label": "% Accuracy for right.", "help_url": "", "hint": "Question will be considered correct if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "0.2", "evaluate": true}, {"name": "close", "label": "% Accuracy for close.", "help_url": "", "hint": "Question will be considered close if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "1.0", "evaluate": true}, {"name": "C1", "label": "Close with units.", "help_url": "", "hint": "Partial Credit for close value with appropriate units. &nbsp;if correct answer is 100 N and close is &plusmn;1%,<br />99 &nbsp;N is accepted.", "input_type": "percent", "default_value": "75"}, {"name": "C2", "label": "No units or wrong sign", "help_url": "", "hint": "Partial credit for forgetting units or using wrong sign.<br />If the correct answer is 100 N, both 100 and -100 N are accepted.", "input_type": "percent", "default_value": "50"}, {"name": "C3", "label": "Close, no units.", "help_url": "", "hint": "Partial Credit for close value but forgotten units.<br />This value would be close&nbsp;if the expected units were provided. &nbsp;If the correct answer is 100 N, and close is &plusmn;1%,<br />99 is accepted.", "input_type": "percent", "default_value": "25"}], "public_availability": "always", "published": true, "extensions": ["quantities"]}], "resources": [["question-resources/VM2.ggb", "/srv/numbas/media/question-resources/VM2.ggb"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "V-M 2: Concentrated moments", "tags": ["gets answer from ggb", "Mechanics", "mechanics", "shear and bending moment", "Statics", "statics"], "metadata": {"description": "Shear and Bending Moment diagram for a cantilevered beam loaded with concentrated forces and moments.", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "<p>A {qty(beamLen,&nbsp;units[0])} long cantilevered beam is supported by a fixed support at $A$ and subjected to the loading shown.</p>\n<p>Draw&nbsp;the corresponding shear and bending moment diagram.</p>\n<p>{ggb_function}</p>\n<p></p>", "advice": "", "rulesets": {}, "extensions": ["geogebra", "quantities"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"beamLen": {"name": "beamLen", "group": "Unnamed group", "definition": "random(12..20#2)", "description": "", "templateType": "anything", "can_override": false}, "ggb_function": {"name": "ggb_function", "group": "Ungrouped variables", "definition": "geogebra_function()", "description": "<p>geogebra_applet('wzynat8x', [<br /> \"P_C\":[definition: P_C, visible: false],<br /> \"F_B\":[definition: F_B, visible: false],<br /> \"M_D\":[definition: M_D, visible: false],<br /> \"showR\": [visible: false],<br /> \"showV\": [visible: true],<br /> \"showM\": [visible: true],<br /> \"NewProblem\": [visible: false],<br /> \"xxx\": [definition: [<br /> 'SetCoords(A,' + A + ',0)',<br /> 'SetCoords(B,' + B + ',0)',<br /> 'SetCoords(C,' + C + ',0)',<br /> 'SetCoords(D,' + D + ',0)',<br /> 'SetCoords(E,' + EE + ',0)' <br /> ]], <br /> \"A\":[fixed: true],<br /> \"B\":[fixed: true],<br /> \"C\":[fixed: true],<br /> \"D\":[fixed: true],<br /> \"E\":[fixed: true],<br /> \"E\":[fixed: true],<br /> \"textShowSoln\": [definition: '\"Show Diagrams\"'],<br /> \"units_d\":[definition: '\"' + units[0] + '\"'],<br /> \"units_f\":[definition: '\"' + units[1] + '\"'],<br /> \"Scale_V\": [definition: safe('CopyFreeObject(scaleFunction(Max({V_{max},abs(V_{min})})/2 ))')],<br /> \"Scale_M\": [definition: safe('CopyFreeObject(scaleFunction(Max({M_{max},abs(M_{min})})/3 ))')],<br /> \"points\": [definition: points]</p>\n<p>])</p>\n<p></p>", "templateType": "anything", "can_override": false}, "P_C": {"name": "P_C", "group": "Ungrouped variables", "definition": "random(-50..50#10 except 0)", "description": "", "templateType": "anything", "can_override": false}, "M_D": {"name": "M_D", "group": "Ungrouped variables", "definition": "random(-200..200#10 except 0)", "description": "", "templateType": "anything", "can_override": false}, "F_B": {"name": "F_B", "group": "Ungrouped variables", "definition": "random(-50..50#10 except 0)", "description": "", "templateType": "anything", "can_override": false}, "A": {"name": "A", "group": "Unnamed group", "definition": "ends[0]", "description": "", "templateType": "anything", "can_override": false}, "B": {"name": "B", "group": "Unnamed group", "definition": "ends[1]", "description": "", "templateType": "anything", "can_override": false}, "C": {"name": "C", "group": "Unnamed group", "definition": "random(midpoints)", "description": "", "templateType": "anything", "can_override": false}, "D": {"name": "D", "group": "Unnamed group", "definition": "random(midpoints)", "description": "", "templateType": "anything", "can_override": false}, "EE": {"name": "EE", "group": "Unnamed group", "definition": "ends[0]", "description": "", "templateType": "anything", "can_override": false}, "points": {"name": "points", "group": "Unnamed group", "definition": "sort(distinct([A,B,C,D,EE]))", "description": "<p>used by scale function in geogebra</p>", "templateType": "anything", "can_override": false}, "ends": {"name": "ends", "group": "Unnamed group", "definition": "shuffle([0,beamLen])", "description": "<p>left or right ends&nbsp;</p>", "templateType": "anything", "can_override": false}, "midpoints": {"name": "midpoints", "group": "Unnamed group", "definition": "shuffle(2..beamLen-2#2)", "description": "", "templateType": "anything", "can_override": false}, "units": {"name": "units", "group": "Ungrouped variables", "definition": "random(['ft','lb'],['m','kN'])", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["ggb_function", "P_C", "M_D", "F_B", "units"], "variable_groups": [{"name": "Unnamed group", "variables": ["beamLen", "A", "B", "C", "D", "EE", "points", "ends", "midpoints"]}], "functions": {"geogebra_function": {"parameters": [], "type": "anything", "language": "javascript", "definition": "// Create the worksheet. \n// This function returns an object with a container `element` and a `promise` resolving to a GeoGebra applet.\nvar params = {\n  material_id: 'wzynat8x'\n};\n\nvar result = Numbas.extensions.geogebra.createGeogebraApplet(params);\n\n// Once the applet has loaded, run some commands to manipulate the worksheet.\nresult.promise.then(function(d) {\n  var app = d.app;\n  question.applet = d;\n  app.setGridVisible(1, true);\n  app.setAxesVisible(true,false);\n  app.enableShiftDragZoom(false);\n  \n  function setGGBPoint(name, nname=name) {\n    // moves point in GGB to Numbas value\n    var x = Numbas.jme.unwrapValue(question.scope.getVariable(nname));\n    app.setFixed(name,false,false);\n    app.setCoords(name, x, 0);\n    app.setFixed(name,true,true);\n  }\n\n function setGGBNumber(name) {\n    // Sets number in GGB to a Numbas Variable\n    var n = question.scope.evaluate(name).value;\n    app.setValue(name,n);\n  }\n  \n  setGGBPoint(\"A\");\n  setGGBPoint(\"B\");\n  setGGBPoint(\"C\");\n  setGGBPoint(\"D\");\n  setGGBPoint(\"E\",\"EE\");\n  \n  setGGBNumber(\"P_C\");\n  setGGBNumber(\"F_B\");\n  setGGBNumber(\"M_D\");\n  \n  app.setVisible(\"P_C\",false);\n  app.setVisible(\"F_B\",false);\n  app.setVisible(\"M_D\",false);\n  \n  app.evalCommand('Scale_V = CopyFreeObject(scaleFunction(Max({V_{max},abs(V_{min})})/2 ))');\n  app.evalCommand('Scale_M = CopyFreeObject(scaleFunction(Max({M_{max},abs(M_{min})})/3 ))');\n  \n  var units = question.unwrappedVariables.units\n  app.setTextValue('units_d', units[0]);\n  app.setTextValue('units_f', units[1]);\n  //app.evalCommand(\"RunClickScript(Rescale)\");  (not implemented in ggb)\n  \n  app.setVisible(\"NewProblem\", false, false);\n  //app.setVisible(\"Rescale\", true, false);\n  app.setVisible(\"textShowSoln\", false, false);\n  app.setVisible(\"showR\", false,false);\n  app.setVisible(\"showV\", true,false);\n  app.setVisible(\"showM\", true,false);\n  app.setVisible(\"showMax\", false,false);\n  \n  \n  app.setValue(\"showR\",false);\n  app.setValue(\"showV\",false);\n  app.setValue(\"showM\",false);\n  app.setValue(\"showMax\",false);\n  \n  /* begin debug \n  app.setVisible(\"textShowSoln\", true, false);\n  app.setVisible(\"showR\", true,false);\n  app.setVisible(\"showV\", true,false);\n  app.setVisible(\"showM\", true,false);\n  app.setVisible(\"showMax\", true,false);\n  app.setValue(\"showR\",true);\n  app.setValue(\"showV\",true);\n  app.setValue(\"showM\",true);\n  app.setValue(\"showMax\",true);\n  */\n  \n  \n});\n\n// This function returns the result of `createGeogebraApplet` as an object \n// with the JME data type 'ggbapplet', which can be substituted into the question's content.\nreturn new Numbas.jme.types.ggbapplet(result);"}, "getGGB": {"parameters": [["val", "string"]], "type": "anything", "language": "javascript", "definition": "return question.applet.app.getValue(val)"}, "": {"parameters": [], "type": "anything", "language": "jme", "definition": ""}}, "preamble": {"js": "question.signals.on('adviceDisplayed',function() {\n try{\n    var app = question.applet.app;\n  app.setVisible(\"textShowSoln\", true, false);\n  app.setVisible(\"showR\", true,false);\n  app.setVisible(\"showV\", true,false);\n  app.setVisible(\"showM\", true,false);\n  app.setVisible(\"showMax\", true,false);\n  \n  \n  app.setValue(\"showR\",true);\n  app.setValue(\"showV\",true);\n  app.setValue(\"showM\",true);\n  app.setValue(\"showMax\",true);\n  \n  }\n  catch(err){}  \n})\n", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Reactions", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Find the reactions at $A$.</p>\n<p>$A = $ [[0]]&nbsp;$\\qquad M_A = $&nbsp;[[1]]</p>", "gaps": [{"type": "engineering-answer", "useCustomName": true, "customName": "$A$", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "correct_quantity:\n  qty(value(ggb_function,\"F_A\"),units[1])", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0, units[1])", "right": "0.2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "$M_A$", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "correct_quantity:\n   qty(value(ggb_function,\"M_A\"),units[1] + ' ' + units[0])", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0, units[0]+\" \" +  units[1])", "right": "0.2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Maximum Internal Loads", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Give the (signed) values of the largest&nbsp;shear and bending moment occuring anywhere within the beam.</p>\n<p>$V_{\\text{max}} = $ &nbsp;[[0]]&nbsp;$\\qquad M_{\\text{max}} = $ &nbsp;[[1]]</p>", "gaps": [{"type": "engineering-answer", "useCustomName": true, "customName": "$V_{max}$", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "Vmax:\n  value(ggb_function,safe(\"V_{max}\"))\n\nVmin:\n   value(ggb_function,safe(\"V_{min}\"))\n\ncorrect_quantity:\n  qty(if(abs(Vmax)>=abs(Vmin), Vmax, Vmin), units[1])\n", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0,units[1])", "right": "1", "close": "5", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "$M_{max}$", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "Mmax:\n  value(ggb_function,safe(\"M_{max}\"))\n\nMmin:\n   value(ggb_function,safe(\"M_{min}\"))\n\ncorrect_quantity:\n  qty(if(abs(Mmax)>=abs(Mmin), Mmax, Mmin), units[1]+' ' + units[0])\n\n", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0,units[1] + ' ' + units[0])", "right": "1", "close": "5", "C1": "75", "C2": "50", "C3": "25"}}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "William Haynes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2530/"}]}]}], "contributors": [{"name": "William Haynes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2530/"}]}