Graphical Analysis of SHM

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Presentation transcript:

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;

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;

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

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;