// Numbas version: exam_results_page_options
{"name": "Frame: A-frame Difficulty 2", "extensions": ["geogebra", "weh", "stats", "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": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Frame: A-frame Difficulty 2", "tags": ["Equilibrium", "equilibrium", "frame", "Frame", "Mechanics", "mechanics", "statics", "Statics"], "metadata": {"description": "<p>An A-frame structure supporting a force or a moment. &nbsp;One leg is a two force body.</p>", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "<p>{geogebra_applet('qe7xhnse',[[\"B\",B],[\"C\",C],['units','\"'+units[1]+'\"']]+ggb_load )}</p>\n<p>The A-frame shown supports a {description} as shown. &nbsp;</p>\n<p>Determine the scalar components of the reactions at pins&nbsp;<em>A</em> and <em>C</em>. &nbsp;</p>\n<p><strong>Note:</strong> the <em>sign</em> of a scalar component indicates the <em>sense</em> of the force. A <em>positive sense</em> indicates the force points towards the <em>positive</em> end of the corresponding axis.&nbsp;</p>\n<p></p>\n<p></p>", "advice": "<p><strong>Strategy:</strong><br/><strong></strong></p>\n<p><strong>&nbsp; &nbsp; &nbsp;</strong>&nbsp;&nbsp;Draw a free body diagram of the entire frame and each of its legs. &nbsp;Note that member <em>{if(Fd=0,\"AB\",\"BC\")}</em> is a&nbsp;two-force body and the&nbsp;direction of the line of action of force <em>{if(Fd=0,\"A\",\"C\")} </em>is known; &nbsp;that means that FBD {if(Fd=0,'III','II')} has three unknowns.&nbsp;FBD I has four unknowns, and FBD {if(Fd=0,'II','III')} has no knowns. &nbsp;</p>\n<p>{geogebra_applet('p6rz9bqx',[[\"B\",B],[\"C\",C]] + ggb_load )}</p>\n<p><strong>Known:</strong></p>\n<p style=\"padding-left: 30px;\"><span data-jme-visible=\"me&lt;&gt;0\">$M_E = \\var{display(abs(M_E))}$</span> <span data-jme-visible=\"fd&lt;&gt;0\">$D = \\var{display(abs(F_D))}$</span></p>\n<p><strong>Determine necessary angles:</strong></p>\n<p style=\"padding-left: 30px;\">$\\alpha = \\tan^{-1}\\left(\\frac{\\var{y1}}{\\var{x1}}\\right) = \\var{siground(alpha,4)}$&deg;</p>\n<p style=\"padding-left: 30px;\">$\\beta = \\tan^{-1}\\left(\\frac{\\var{y2}}{\\var{x2}}\\right) = \\var{siground(beta,4)}$&deg;</p>\n<p><strong>Start with FBD {if(Fd=0,'III','II')} which has three unknowns, and take moments at point <em>{if(Fd=0,'C','A')}</em> to find force <em>{if(Fd=0,\"A\",\"C\")}</em>.&nbsp;</strong></p>\n<div data-jme-visible=\"version=0\">\n<p style=\"padding-left: 30px;\"><strong></strong>II: $\\Sigma M_A = 0$</p>\n<p style=\"padding-left: 30px;\">$\\simplify{{sign(-fd)} D&nbsp;} &nbsp;(\\var{y1/2}) + C_x (\\var{y1}) + C_y ( \\var{x1}) = 0$</p>\n<p style=\"padding-left: 30px;\">$\\simplify{{sign(-fd)} D} (\\var{y1/2}) + (C \\cos \\beta) &nbsp;(\\var{y1})&nbsp;+ (C &nbsp;\\sin \\beta) (\\var{x1}) = 0$</p>\n<p style=\"padding-left: 30px;\">$ C &nbsp;&nbsp;= \\dfrac{\\simplify{{sign(fd)} D&nbsp;} (\\var{y1/2})&nbsp;}{&nbsp;(\\var{y1}) \\cos \\beta + (\\var{x1}) \\sin \\beta} = \\dfrac{ \\var{&nbsp;F_D y1 /2 }}{\\var{display(y1 * cos(radians(beta)) + x1 * sin(radians(beta)))}} = \\var{display(magC)}$</p>\n<p style=\"padding-left: 60px;\">$C_x = C \\cos \\beta &nbsp;= \\var{display(qty(-vecC[0],units[0]))} = \\var{display(abs(qty(vecC[0],units[0])))} \\var{if(vecC[0]&gt;0,latex('\\\\rightarrow'),latex('\\\\leftarrow'))}$</p>\n<p style=\"padding-left: 60px;\">$C_y = C &nbsp;\\sin \\beta &nbsp;= \\var{display(qty(vecC[1],units[0]))} = &nbsp;\\var{display(abs(qty(vecC[1],units[0])))} \\var{if(vecC[1]&lt;0,latex('\\\\downarrow'),latex('\\\\uparrow'))}$&nbsp;</p>\n<p style=\"padding-left: 30px;\"><strong></strong></p>\n</div>\n<div data-jme-visible=\"version=1\">\n<p style=\"padding-left: 30px;\"><strong></strong>II: $\\Sigma M_C = 0$</p>\n<p style=\"padding-left: 30px;\">$\\simplify{M_E } &nbsp; + A_x (\\var{y2}) + A_y ( \\var{x2}) = 0$</p>\n<p style=\"padding-left: 30px;\">$\\simplify{M_E} + (A \\cos \\alpha) &nbsp;(\\var{y2})&nbsp;+ (A &nbsp;\\sin \\alpha) (\\var{x2}) = 0$</p>\n<p style=\"padding-left: 30px;\">$ A&nbsp;= \\dfrac{\\simplify{-&nbsp;M_E&nbsp;}}{ (\\var{y2}) \\cos \\alpha + (\\var{x2}) \\sin \\alpha} = \\dfrac{ \\var{M_E }}{\\var{display(y2 * cos(radians(alpha)) + x2 * sin(radians(alpha)))}} = \\var{display(magA)}$</p>\n<p style=\"padding-left: 30px;\">$A_x = A&nbsp;\\cos \\alpha &nbsp;= \\var{display(qty(vecA[0],units[0]))} = \\var{display(abs(qty(vecA[0],units[0])))} \\var{if(vecA[0]&lt;0,latex('\\\\leftarrow'),latex('\\\\rightarrow'))}$</p>\n<p style=\"padding-left: 30px;\">$A_y = A&nbsp; \\sin \\alpha &nbsp;= \\var{display(qty(vecA[1],units[0]))} = &nbsp;\\var{display(abs(qty(vecA[1],units[0])))}\\var{if(vecA[1]&lt;0,latex('\\\\downarrow'),latex('\\\\uparrow'))}$</p>\n<p><strong></strong></p>\n</div>\n<p><strong>Apply $\\Sigma F_x = 0$ and $\\Sigma F_y=0$ to FBD&nbsp;I to find the reactions at&nbsp;<em>{if(fd=0,'C','A')}</em>.</strong></p>\n<div data-jme-visible=\"version=1\">\n<p style=\"padding-left: 30px;\">$\\begin{align} \\Sigma F_x &amp;= 0\\\\&nbsp;A_x -&nbsp;C_x &nbsp;&amp;=0\\\\ C_x &amp;= A_x\\\\ &amp;= (\\var{display(qty(vecA[0],units[0]))}) \\\\ &amp;= \\var{display(abs(qty(vecC[0],units[0])))} \\var{if(vecC[0]&lt;0,latex('\\\\leftarrow'),latex('\\\\rightarrow'))} \\end{align}$ &nbsp;</p>\n<p style=\"padding-left: 30px;\">$\\begin{align} \\Sigma F_y &amp;= 0\\\\&nbsp;C_y +A_y &amp; = 0\\\\ C_y &amp;= - A_y \\\\&amp;= -(\\var{display(qty(vecA[1],units[0]))})\\\\ &nbsp;&amp;= &nbsp;\\var{display(abs(qty(vecC[1],units[0])))} \\var{if(vecC[1]&gt;0,latex('\\\\downarrow'),latex('\\\\uparrow'))} \\end{align}$&nbsp;</p>\n</div>\n<p></p>\n<div data-jme-visible=\"version=0\">\n<p style=\"padding-left: 30px;\">$\\begin{align} \\Sigma F_x &amp;= 0\\\\ &nbsp; \\simplify{ A_x &nbsp;+ &nbsp;{sign(fd)} D } - C_x &amp;= 0\\\\ A_x &amp;= \\simplify{C_x - {sign(fd)} D } \\\\&amp;= \\simplify[!collectNumbers]{({-siground(vecC[0],4)}) +&nbsp;({-vecD[0]})}\\\\ &amp;=&nbsp;\\simplify{({-siground(vecC[0],4)}) +&nbsp;({-vecD[0]})}\\\\&amp;= \\var{display(abs(qty(vecA[0],units[0])))} \\var{if(vecA[0]&lt;0,latex('\\\\leftarrow'),latex('\\\\rightarrow'))}&nbsp;\\end{align}$ &nbsp;</p>\n<p style=\"padding-left: 30px;\">$\\begin{align}\\Sigma F_y &amp;= 0\\\\&nbsp;A_y + C_y &amp;=0\\\\A_y &amp;= -C_y \\\\ &amp;= -( \\var{display(qty(vecC[1],units[0]))}) \\\\ &amp;= &nbsp;\\var{display(abs(qty(vecA[1],units[0])))} \\var{if(vecA[1]&lt;0,latex('\\\\downarrow'),latex('\\\\uparrow'))} \\end{align}$</p>\n</div>", "rulesets": {}, "extensions": ["geogebra", "quantities", "stats", "weh"], "variables": {"me": {"name": "me", "group": "Ungrouped variables", "definition": "load[1]", "description": "<p>the magnitude of the moment</p>", "templateType": "anything"}, "beta": {"name": "beta", "group": "magnitudes", "definition": "degrees(angle(vector(-1,0),B-C))", "description": "", "templateType": "anything"}, "w": {"name": "w", "group": "Ungrouped variables", "definition": "0//random(100..500#25)", "description": "", "templateType": "anything"}, "x2": {"name": "x2", "group": "magnitudes", "definition": "qty(abs(b[0]-c[0]),units[1])", "description": "", "templateType": "anything"}, "y1": {"name": "y1", "group": "magnitudes", "definition": "qty(B[1],units[1])", "description": "", "templateType": "anything"}, "magA": {"name": "magA", "group": "magnitudes", "definition": "M_E/(y2 * cos(radians(alpha)) + x2  sin(radians(alpha)))\n\n", "description": "<p></p>\n<p>magnidude of force a in version 1 only</p>", "templateType": "anything"}, "F_w": {"name": "F_w", "group": "magnitudes", "definition": "qty(w,units[0])", "description": "", "templateType": "anything"}, "y2": {"name": "y2", "group": "magnitudes", "definition": "qty(abs(b[1]-c[1]),units[1])", "description": "", "templateType": "anything"}, "version": {"name": "version", "group": "Ungrouped variables", "definition": "random(0,1)", "description": "<p>version 0 = force d</p>\n<p>version 1 = moment e</p>", "templateType": "anything"}, "vecA": {"name": "vecA", "group": "vectors", "definition": "[-vecD - scalar(magC) * vector(cos(radians(180-beta)), sin(radians(180-beta))),\nscalar(magA)* vector(cos(radians(alpha)), sin(radians(alpha)))][version]", "description": "<p>reactions at A for both versions as a vector</p>", "templateType": "anything"}, "alpha": {"name": "alpha", "group": "magnitudes", "definition": "degrees(angle(vector(1,0),B))", "description": "", "templateType": "anything"}, "units": {"name": "units", "group": "Ungrouped variables", "definition": "random(['N','m'],['lb','ft'])", "description": "", "templateType": "anything"}, "M_E": {"name": "M_E", "group": "magnitudes", "definition": "qty(me,units[0]+\"*\"+units[1])", "description": "", "templateType": "anything"}, "fd": {"name": "fd", "group": "Ungrouped variables", "definition": "Load[0]", "description": "<p>the magnitude of the force</p>", "templateType": "anything"}, "debug": {"name": "debug", "group": "Ungrouped variables", "definition": "false", "description": "", "templateType": "anything"}, "B": {"name": "B", "group": "Ungrouped variables", "definition": "vector(random(3..5),random(3..5))", "description": "<p>location of pin B</p>", "templateType": "anything"}, "Load": {"name": "Load", "group": "Ungrouped variables", "definition": "[[random(-500..500#25 except 0),0],\n[0,random(100..2000#100) random(1,-1)]]\n[version]", "description": "<p>establishes whether force or moment&nbsp;load is active. &nbsp;Weight at B is always zero in this problem</p>", "templateType": "anything"}, "ggb_load": {"name": "ggb_load", "group": "Ungrouped variables", "definition": "[['fd',fd],['me',me],['w',0]]", "description": "<p style=\"text-align: left;\">This will select either the force or the moment, but not both. &nbsp;Weight is always zero.</p>\n<p style=\"text-align: left;\"></p>\n<p style=\"text-align: left;\"></p>", "templateType": "anything"}, "C": {"name": "C", "group": "Ungrouped variables", "definition": "vector(B[0]+ random(3..5),random(-2..3))", "description": "<p>Location of pin C. &nbsp;Pin A is at (0,0)</p>", "templateType": "anything"}, "vecC": {"name": "vecC", "group": "vectors", "definition": "[scalar(magC) * vector(cos(radians(180-beta)),sin(radians(180-beta))),\n-scalar(magA)* vector(cos(radians(alpha)), sin(radians(alpha)))][version]", "description": "<p>reactions at C&nbsp;for both versions as a vector</p>", "templateType": "anything"}, "sigma_f": {"name": "sigma_f", "group": "vectors", "definition": "vecW+vecA+vecC + vecD", "description": "", "templateType": "anything"}, "F_d": {"name": "F_d", "group": "magnitudes", "definition": "qty(fd,units[0])", "description": "", "templateType": "anything"}, "x1": {"name": "x1", "group": "magnitudes", "definition": "qty(B[0],units[1])", "description": "", "templateType": "anything"}, "vecW": {"name": "vecW", "group": "vectors", "definition": "vector(0,-w)", "description": "<p>always 0 in this problem</p>", "templateType": "anything"}, "magC": {"name": "magC", "group": "magnitudes", "definition": "(F_D y1 /2)/\n(y1 * cos(radians(beta)) + \nx1 * sin(radians(beta)))\n  \n", "description": "<p>magnitude of reaction in version 0&nbsp;only</p>", "templateType": "anything"}, "vecD": {"name": "vecD", "group": "vectors", "definition": "vector(scalar(f_d),0)", "description": "", "templateType": "anything"}, "description": {"name": "description", "group": "magnitudes", "definition": "if(version=0,\n  display(abs(F_d)) +  \" force $D$ at the midpoint of member <i>AB</i>\",\n  display(abs(M_E)) + if(me>0,\" counter-\",\" \") + \"clockwise moment $M_E$ \")", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "B[1]<> C[1] and C[1]<>0", "maxRuns": 100}, "ungrouped_variables": ["B", "C", "fd", "me", "w", "units", "ggb_load", "Load", "version", "debug"], "variable_groups": [{"name": "magnitudes", "variables": ["F_w", "F_d", "M_E", "alpha", "beta", "magA", "magC", "x1", "y1", "x2", "y2", "description"]}, {"name": "vectors", "variables": ["vecW", "vecA", "vecC", "sigma_f", "vecD"]}], "functions": {"display": {"parameters": [["Q", "quantity"]], "type": "string", "language": "jme", "definition": "string(siground(q,4))"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$A_x = $&nbsp;[[0]]&nbsp;$A_y = $&nbsp;[[1]] $C_x = $&nbsp;[[2]]&nbsp;$C_y = $&nbsp;[[3]] &nbsp;</p>", "gaps": [{"type": "engineering-answer", "useCustomName": true, "customName": "$A_x$", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(vecA[0],units[0])", "right": "0.2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "$A_y$", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(vecA[1],units[0])", "right": "0.2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "$C_x$", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(vecC[0],units[0])", "right": "0.2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "$C_y$", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(vecC[1],units[0])", "right": "0.2", "close": "1.0", "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/"}]}