Unit 6 - Oscillations and Mechanical Waves Flashcards
Example of simple harmonic motion
Masses on springs and pendulum systems
What is the one major things that systems in simple harmonic motion have
Resotring force
What is a restoring force
A force that wants to return the system to eqbm (opposing what you want to do to it)
In a simple harmonic oscilator the resotring force is proportional to
Proportional to the ammount of displacment in the system
What is the equation connecting the force exerted by a spring, the spring constant and displacement
Fs = -kx
Force is proportional to …. but not ….
Acceleration but not velocity
Max displacement AKA
Displacement
Period (T) is
The time taken for an entire cycle to occur
Cos starts at
MAX amplitude (1)
Sin starts at
Minimunim amplitude (0)
x(t) = (2)
A cos (wt) or A sin (wt)
What is w
2pi / T
x(t) = (in terms of time period)
A cos ((2pi/T) t)
OR
A sin ((2pi/T) t)
What is the effect of a change in amplitude on the peirod in a spring system
There is no effect
T (for a spring)
2pi X root of (m/K)
m = mass k = spring constant
90 deg –> RAD
pi/2 rad
2 pi rad –> DEG
360 deg
What is the effect of adding a phase constant inside of the sine term
Shift the graph to the left in the negative x direction
What is the effect of subtracting a phase constant inside of the sine term
Shifts the graph to the right
What is the effect of changing the mass on a pendulum in terms of a pendulum
No effect on time period
T (for a pendulum)
2pi x root (L/g)
L = length g = gravitational acceleration