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Graphical Analysis of SHM

Graphical Analysis of SHM. Objectives (g) select and apply the equation v max = (2π f ) A for the maximum speed of a simple harmonic oscillator; (i) describe, with graphical illustrations, the changes in displacement, velocity and acceleration during simple harmonic motion;. Outcomes.

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Graphical Analysis of SHM

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  1. Graphical Analysis of SHM Objectives (g) select and apply the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator; (i) describe, with graphical illustrations, the changes in displacement, velocity and acceleration during simple harmonic motion;

  2. Outcomes • ALL MUST • Be able to use the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator correctly for different situations. • MOST SHOULD • Be able to rearrange and then use the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator correctly for different situations. • Be able to interpret graphical illustrations of the changes in displacement, velocity and acceleration during simple harmonic motion; • SOME COULD • Be able to derive the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator • Be able to draw graphical illustrations of the changes in displacement, velocity and acceleration during simple harmonic motion;

  3. Graphical analysis. • Displacement – time • Velocity – time • Acceleration – time • vmax = (2πf)A x=Acos(2πft) v=-(2πf)Asin(2πft) a=-(2πf)2Acos(2πft)

  4. Outcomes • ALL MUST • Be able to use the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator correctly for different situations. • MOST SHOULD • Be able to rearrange and then use the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator correctly for different situations. • Be able to interpret graphical illustrations of the changes in displacement, velocity and acceleration during simple harmonic motion; • SOME COULD • Be able to derive the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator • Be able to draw graphical illustrations of the changes in displacement, velocity and acceleration during simple harmonic motion;

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