What acts as the restoring force for a pendulum?
Gravity (the component that acts parallel to the motion)
A simple harmonic oscillator takes 4.8 s to undergo five complete oscillations. What is the period (T) of 1 cycle?
0.96 s
How would the period of a SMO change if its amplitude increased?
period would not change; amplitude does not affect period
What is the period of this oscillation?
2 s
What are the two main Simple Harmonic Oscillators we talked about?
Pendulums
Masses on Springs
Give a real-world example of a pendulum.
Clock, metronome, swing, other??
How long is a pendulum that has a period of 3 s?
2.23 m
If the period were to decrease, how would that affect frequency?
frequency would increase
Where is this object moving the fastest?
At equilibrium (t=0.5, 1.5, 2.5, 3.5)
How are period and frequency related? (What is the equation)
Inverse relationship: T=1/f and f=1/T
Where does a mass-spring system have the most elastic potential energy?
At its maximum displacement
How much mass is attached to a spring with a spring constant of 35 N/m that oscillates 2.5 times per second.
0.14 kg
What are two ways the period of a mass-spring system could decrease?
1) decreasing the mass
OR
2) increasing the spring constant
Estimate the spring constant from the graph above.
20 N/m
What is the displacement at equilibrium?
zero
What causes simple harmonic motion?
A restoring force
If the spring constant is doubled, how is the period of a mass-spring system affected?
Divided by the square root of 2
How would the graph of a pendulum change if its amplitude decreased?
If this is the graph for a mass on a spring, where is the elastic potential energy the greatest?
At the maximum displacement (t=0, 1, 2)
How does the amplitude of an oscillator affect its period and restoring force?
It doesn't
Where does a simple harmonic oscillator have the greatest acceleration?
At the maximum displacement
If a pendulum is moved from Earth to Saturn, how would its period change? (Stay the same, increase, or decrease)
Decrease
The graph would stretch horizontally
A graph that starts at the origin shows the ____ of a SMO.
velocity
What is this?
A simple harmonic(a)