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;

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;