// Numbas version: exam_results_page_options
{"name": "JD's copy of Simple Harmonic Motion Graph", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"statement": "<p>The graph shows the displacement, $x$ metres, of a particle at time $t$ seconds, moving with simple harmonic motion about a fixed origin.</p>\n<p>{geogebra_applet('https://ggbm.at/bkfp2s97', defs, [])}</p>\n<p>(You can use the tools to zoom in/out and pan around the graph if necessary!)</p>", "variablesTest": {"maxRuns": "200", "condition": ""}, "extensions": ["geogebra"], "rulesets": {}, "ungrouped_variables": ["defs", "a", "w", "c", "P", "d", "f"], "variables": {"defs": {"definition": "[\n  ['a',a],\n  ['b',w],\n  ['c',f],\n  ['d',d]\n]", "description": "<p>Sets the internal values of y = a*cos(wx+c)+d</p>", "name": "defs", "templateType": "anything", "group": "Ungrouped variables"}, "f": {"definition": "c*pi/(2w)", "description": "", "name": "f", "templateType": "anything", "group": "Ungrouped variables"}, "a": {"definition": "random(1..8#0.2)", "description": "", "name": "a", "templateType": "anything", "group": "Ungrouped variables"}, "w": {"definition": "2*pi/P", "description": "", "name": "w", "templateType": "anything", "group": "Ungrouped variables"}, "c": {"definition": "1.5", "description": "", "name": "c", "templateType": "anything", "group": "Ungrouped variables"}, "d": {"definition": "0", "description": "", "name": "d", "templateType": "anything", "group": "Ungrouped variables"}, "P": {"definition": "random(1..6)", "description": "", "name": "P", "templateType": "anything", "group": "Ungrouped variables"}}, "advice": "<p>(a) Amplitude: measure the height of the peak from the middle of the wave ($x=0$ line).</p>\n<p>(b) Period: measure the horizontal distance from one peak to the next.&nbsp; The period, in seconds, is the time taken for the particle is undergo one oscillation.</p>\n<p>(c) Angular frequency, $\\omega$, is defined as \\[ \\omega = \\frac{2\\pi}{P} \\] where $P$ is the period of oscillation.</p>", "variable_groups": [], "name": "JD's copy of Simple Harmonic Motion Graph", "metadata": {"description": "<p>This uses an embedded Geogebra SHM graph with coefficients set by NUMBAS.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "tags": [], "functions": {"graph": {"parameters": [], "definition": "", "type": "html", "language": "jme"}}, "parts": [{"variableReplacements": [], "customName": "", "sortAnswers": false, "unitTests": [], "scripts": {}, "useCustomName": false, "prompt": "<p>What is the amplitude of the displacement?</p>\n<p>Amplitude:&nbsp;&nbsp;[[0]] metres</p>", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showCorrectAnswer": true, "gaps": [{"minValue": "{a}", "showFractionHint": true, "maxValue": "{a}", "variableReplacements": [], "customName": "", "notationStyles": ["plain", "en", "si-en"], "allowFractions": true, "correctAnswerStyle": "plain", "unitTests": [], "scripts": {}, "mustBeReducedPC": 0, "correctAnswerFraction": false, "mustBeReduced": false, "useCustomName": false, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "type": "numberentry", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "marks": 1}], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": false, "marks": 0}, {"variableReplacements": [], "customName": "", "sortAnswers": false, "unitTests": [], "scripts": {}, "useCustomName": false, "prompt": "<p>What is the period of oscillation for the particle?</p>\n<p>Period =&nbsp;[[0]] seconds</p>", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showCorrectAnswer": true, "gaps": [{"minValue": "P", "showFractionHint": true, "maxValue": "P", "variableReplacements": [], "customName": "", "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "correctAnswerStyle": "plain", "unitTests": [], "scripts": {}, "mustBeReducedPC": 0, "correctAnswerFraction": false, "mustBeReduced": false, "useCustomName": false, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "type": "numberentry", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "marks": 1}], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "marks": 0}, {"variableReplacements": [], "customName": "", "sortAnswers": false, "unitTests": [], "scripts": {}, "useCustomName": false, "prompt": "<p>What is the angular frequency for this system?</p>\n<p>Angular frequency =&nbsp;[[0]]&nbsp; rad/s&nbsp; (Exact value!)</p>", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showCorrectAnswer": true, "gaps": [{"customName": "", "failureRate": 1, "unitTests": [], "vsetRangePoints": 5, "checkingType": "absdiff", "useCustomName": false, "answer": "2pi/{P}", "customMarkingAlgorithm": "", "answerSimplification": "all", "showPreview": true, "showCorrectAnswer": true, "vsetRange": [0, 1], "variableReplacements": [], "marks": 1, "variableReplacementStrategy": "originalfirst", "scripts": {}, "checkingAccuracy": 0.001, "extendBaseMarkingAlgorithm": true, "type": "jme", "checkVariableNames": false, "showFeedbackIcon": true, "valuegenerators": []}], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "marks": 0}], "preamble": {"js": "", "css": ""}, "type": "question", "contributors": [{"name": "Adrian Jannetta", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/164/"}, {"name": "JD Ichwan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3389/"}]}]}], "contributors": [{"name": "Adrian Jannetta", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/164/"}, {"name": "JD Ichwan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3389/"}]}