Simple Harmonic Motion
How is an object moving when it is oscillating?
Back and forth
Write Hooke's Law and label each variable.
F = kx
force, spring constant, displacement/distance
What type of energy is stored in a spring when it is compressed?
Potential
The distance between two wave crests is called what? What variable do we use to represent it?
Wavelength, lambda (λ)
What are the areas of constructive and destructive interference called in a standing wave? (Specify for which one)
Constructive: Antinodes
Destructive: Nodes
Give two examples of SHO (Simple Harmonic Oscillators)
Springs, Pendulums, Waves
A 20 N force is applied to a spring with k = 125 N/m. How far is it compressed?
.16 m
In a spring oscillating horizontally with a mass, where is the velocity highest and where is the velocity zero?
Highest in middle, zero at the ends
A wave has a frequency of 5 Hz and a wavelength of 1.5 m. What is its velocity?
7.5 m/s
As you increase harmonics, how do the frequency and wavelength change?
Frequency increases, wavelength decreases.
An oscillating object has a period of .75 seconds. What is its frequency?
1.33 Hz
How does increasing the spring constant affect the period of an oscillating spring?
It decreases it
A spring (k = 222 N/m) is compressed a distance of .25 m. How much energy is stored in the spring?
6.94 J
When two waves combine and get taller, what is it called?
Constructive interference
What is the fundamental frequency of a 3.2 m rope fixed at both ends that has a wave velocity of 25 m/s?
3.9 Hz
How does increasing the length of a pendulum affect its period?
Increases it
Calculate the frequency of an oscillating spring with k = 110 N/m attached to a 4.5 kg mass.
.79 Hz
How would decreasing the spring constant of a spring affect the amount of potential energy it can store?
Decrease it
After a moving sound source passes you, the sound appears to be ___________ frequency than it actually is. This is called the _____________ effect.
Lower, Doppler
What is the wavelength of the third harmonic of a a 2.1 m long tube that is open at both ends?
1.4 m
A mass attached to a spring oscillates with a period of 2.0 s. If the period is doubled, what happens to the frequency?
Cut in half
How far will a 55 kg mass stretch a vertical spring (k = 1150 N/m) when it is attached?
.46 m
A a 5 kg mass attached to a horizontal spring (k = 500 N/m) oscillates with an amplitude of .5 m. What is its maximum velocity?
5 m/s
A rope has a mas of .5 kg and a length of 2 m. It is held under a force of tension of 36 N. What is the wave speed in the rope?
12 m/s
What is the frequency of the third allowed harmonic of a 1.5 m tube that is closed at one end?
285.8 Hz