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