Simple Harmonic Motion Graph

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Question 1

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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a)

What is the amplitude of the displacement?

Amplitude: Write your answer as a fraction.Expected answer: metres

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b)

What is the period of oscillation for the particle?

Period = Expected answer: seconds

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c)

What is the angular frequency for this system?

Angular frequency = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{2 \pi}$ rad/s (Exact value!)

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Advice

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

(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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Simple Harmonic Motion Graph

a)

b)

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Advice