Please enable JavaScript.
Coggle requires JavaScript to display documents.
Topic 4 - Oscillations and Waves (4.1 - Oscillations (Describing periodic…
Topic 4 - Oscillations and Waves
4.1 - Oscillations
Isochronous oscillations
Oscillations that repeat in the same time period, maintaining this constant time property no matter what amplitude changes due to damping occur
Because of this isochronicity of oscillations a pendulum is such an important element of a clock
Describing periodic motion
Cycle
: a repeated pattern
Period (T)
: time duration of a cycle
Equilibrium position
: when object is at rest and its displacement (x) is zero.
Amplitude (x, subscript 0)
: maximum value of the displacement
Frequency (f)
: number of oscillations completed per unit time; SI unit: Hz (when time is in seconds as well)
With frequency being the number of oscillations per second and period the time for one oscillation, the relationship between the two:
T = 1/f
Simple Harmonic Motion (SMH)
In order to perform SHM, an object must have a restoring force acting on it
The magnitude of the force (and therefore
acceleration
) is
proportional
to the displacement of the body from a fixed point.
The direction of the force (and therefore the
acceleration
) is always towards that fixed point.
The difference between the tension and the weight provides the restoring force - the one that tends to return the mass to its equilibrium position.
Acceleration is proportional to -displacement, aka
a = -kx
4.2 - Travelling Waves
4.3 - Wave Characteristics
4.4 - Wave Behaviour
4.5 - Standing Waves