SHM Vocab
Define equilibrium
Where the restoring force is zero, no displacement
How are period and frequency related?
inversely
The restoring force in a pendulum undergoing simple harmonic motion.
gravitational force
What two things affect the period of a mass spring system?
mass and spring constant
What two things affect the period of a pendulum?
length and gravity
Define amplitude
max displacement from equilibrium
how are mass and period related?
directly
for an oscillating mass spring system, at what position is the max, force and acceleration experienced?
at the amplitude
What is the period of a 2 kg mass oscillating on the end of a spring (100 N/m).
0.89 s
What is the period of a pendulum that is 1 m long?
2 s
Define oscillation
back and forth motion
If you double the period, what happens (specifically) to the frequency?
1/2x
At what position is the velocity and kinetic energy at a max for an oscillating pendulum?
through equilibrium
What is the mass that oscillates at the end of a 150 N/m spring with a period of 2 seconds.
15 kg
What is the frequency of a pendulum that is 1 m long?
0.5 Hz
What is the force that always pushes or pulls an object back towards it equilibrium in simple harmonic motion is called this.
restoring force
If you increase the length of a pendulum, what happens to the frequency of the pendulum
decreases
A measure of inertia, the period of a pendulum undergoing SHM is completely independent of this.
mass
If you double the displacement of spring, how much more energy would the mass spring system possess?
4x
If you double the mass of the bob on the end of a 1 m long pendulum, what would the new period be compared to the original?
It would be the same, the mass of the bob does not affect the period of a pendulum.
Also a common American moniker, this is the name for the mass that swings at the end of a pendulum.
bob
If you quadruple the mass of a mass spring system, what happens (specifically) to the period
doubles
The name of the law describing the restoring force in a mass-spring system.
Hooke's Law
A 2 kg mass is on the end of a spring that is compressed 0.1 m. If the spring constant is 200 N/m, what will the velocity be as is oscillates through the equilibrium position?
1 m/s
A pendulum is elevated to a height of 1 meter. What is the speed of the bob as it swings through the equilibrium position?
4.5 m/s