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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.

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{geogebra_applet('https://ggbm.at/bkfp2s97', defs, [])}

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(You can use the tools to zoom in/out and pan around the graph if necessary!)

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What is the amplitude of the displacement?

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Amplitude:  [[0]] metres

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What is the period of oscillation for the particle?

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Period = [[0]] seconds

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What is the angular frequency for this system?

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Angular frequency = [[0]]  rad/s  (Exact value!)

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Sets the internal values of y = a*cos(wx+c)+d

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This uses an embedded Geogebra SHM graph with coefficients set by NUMBAS.

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(a) Amplitude: measure the height of the peak from the middle of the wave ($x=0$ line).

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(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.

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(c) Angular frequency, $\\omega$, is defined as \$\\omega = \\frac{2\\pi}{P} \$ where $P$ is the period of oscillation.

", "type": "question", "contributors": [{"name": "Adrian Jannetta", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/164/"}]}]}], "contributors": [{"name": "Adrian Jannetta", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/164/"}]}