Simple Harmonic Motion + Waves Flashcards
Harmonic motion shows
Repetitive movement
What is the Period (T)?
Time it takes for the particle to complete 1 revolution
What is the frequency (f)?
The number of cycles the particle makes in a given time period
What are the units of frequency?
s-1 or Hz
How can frequency become angular frequency (w)?
Multiply frequency by 2π
What is the equation for frequency (f)?
1 / T
What happens to a particle’s path if it is projected onto a line adjacent to circle?
The particle position oscillates between +x and -x
How does an object oscillate in simple harmonic motion?
It oscillates back and forth from the equilibrium point with angular frequency
What kind of force is an object subject to in simple harmonic motion?
Linear restoring force
What happens during Linear restoring force?
- Object always directed back towards equilibrium
- Mag is perpendicular to the displacement
How is the acceleration in simple harmonic motion?
a = -w^2 • x
k is the spring constant which measures the
Stiffness of a spring
The larger the k, the
Stronger the spring
In a pendulum, the spring constant k can equal to
mg / L
For pendulums, the angular frequency (w) is related to
g and the L of pendulum
For pendulums, the angular frequency (w) is not affected by
- Mass of pendulum
- Angle of displacement
What is the equation of particle displacement of a spring / pendulum?
x = A • sin(w•t)
How is the energy in spring / pendulum?
E = K + U
What is the PE (U) in springs / pendulum?
U / PE = 1/2kx^2
When the mass is at eq in springs, the PE is
0