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The graph shows the displacement, $x$ metres, of a particle at time $t$ seconds, moving with simple harmonic motion about a fixed origin.
\n{geogebra_applet('https://ggbm.at/bkfp2s97', defs, [])}
\n(You can use the tools to zoom in/out and pan around the graph if necessary!)
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", "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": "(a) Amplitude: measure the height of the peak from the middle of the wave ($x=0$ line).
\n(b) Period: measure the horizontal distance from one peak to the next. The period, in seconds, is the time taken for the particle is undergo one oscillation.
\n(c) Angular frequency, $\\omega$, is defined as \\[ \\omega = \\frac{2\\pi}{P} \\] where $P$ is the period of oscillation.
", "variable_groups": [], "name": "JD's copy of Simple Harmonic Motion Graph", "metadata": {"description": "This uses an embedded Geogebra SHM graph with coefficients set by NUMBAS.
", "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": "What is the amplitude of the displacement?
\nAmplitude: [[0]] metres
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\nPeriod = [[0]] seconds
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\nAngular frequency = [[0]] rad/s (Exact value!)
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