oscillations objectives: (d) define simple harmonic motion; (e) select and apply the equation a =...
DESCRIPTION
Oscillations What is an oscillation? An object oscillates when it moves repeatedly to and fro about a fixed pointTRANSCRIPT
OscillationsObjectives:
(d) define simple harmonic motion; (e) select and apply the equation
a = – (2πf)2 x as the defining equation of simple harmonic motion;
(f) select and use x = Acos(2πft) or x = Asin(2πft) as solutions to the
equation a = – (2πf)2 x ;
OutcomesAll Must
Be able to define simple harmonic motion.Most Should
Be able to select and apply the equation a = – (2πf)2 x as the defining equation of
simple harmonic motion;Be able to select and use x = Acos(2πft) or x = Asin(2πft) as solutions to the equation
a = – (2πf)2 x.Be able to explain why the period of an object with simple harmonic motion is independent
of its amplitude;
Oscillations
• What is an oscillation?• An object oscillates when it moves
repeatedly to and fro about a fixed point
Representing oscillations
• DEMO
Representing oscillations
• We have demonstrated how an oscillation can be described in similar terms to circular motion
The Auxiliary Circle
Phase• Two different masses released at the
same time
•Would be completely in phase with each other:• 0 degrees out of phase, 0 radians.
Phase
• Two different masses released at different times
•Would be out of phase with each other: ¼ of a cycle, 90 degrees out of phase,or /2 radians.
Phase
• Two different masses released at different times
•Would be completely out of phase with each other: ½ a cycle, 180 degrees out of phase,or radians.