Vocabulary
Simple Harmonic Motion
Practice Problems
Wave Interactions
Measuring Harmonic Motion
100
Vibration about an equilibrium position in which a restoring force is proportional to the displacement from equilibrium
What is Simple Harmonic Motion?
100
Oscillatory motion under a retarding force proportional to the amount of displacement from an equilibrium position is known as
What is simple harmonic motion?
100
A scale with a spring constant of 420 N/m is compressed 4.3 cm. What is the spring force?
-18N
100
a point in a standing wave that maintains zero displacement
What is a node?
100
Period= 2(3.14)x square root of (mass divided by spring constant)
What is Period of mass-spring system in simple harmonic motion?
200
The distance between two adjacent similar points of a wave, from crest to crest or from trough to trough
What is wavelength?
200
A 4 kg mass attached to a spring is observed to oscillate with a period of 2 seconds. What is the period of oscillation if a 6 kg mass is attached to the spring?
What is 2.45 seconds
200
What is the speed of an earthquake S-wave with a 2.3x10^4 m wavelength and a 0.065 Hz frequency?
1.5x10^3 m/s
200

A wave pattern that results when two waves of the same frequency, wavelength, and amplitude travel in opposite directions and interfere

What is a Standing Wave?
200

1 A clown is rocking on a rocking chair in the dark. His glowing red nose moves back and forth a distance of 0.42 m exactly 30 times a MINUTE, in a simple harmonic motion. What is the amplitude of this motion?

Amplitude is .21 m

300
A wave in which the particles of the medium vibrate parallel to the direction of wave motion.
What is a Longitudinal Wave?
300
A mass of 2 kg oscillating on a spring with constant 4 N/m passes through its equilibrium point with a velocity of 8 m/s. What is the energy of the system at this point?
What is 64 Joules
300
An archer applies a force of 52 N on a bowstring with a spring constant of 490 N/m. What is the bowstring's displacement?
-0.11m =-11cm
300
A point in a standing wave, halfway between two nodes, at which the largest displacements occurs
What is an Antinode?
300
The number of cycles or vibrations per unit of time
What is a frequency?
400
A superposition of two or more waves whose intensity is greater than the sum of the intensities of the individual waves.
What is a Constructive Interference?
400

If the frequency is 40 Hz, what is the period T?


0.025 seconds
400
A tractor seat supported by a spring with a spring constant of 2.03 x 10^3 N/m oscillates at a frequency of 0.79 Hz. What is the mass on the spring?
82 kg
400

A real life example in the field of music of a standing wave is a......

Stringed instrument
400
2(3.14)x square root of (length divided by free-fall acceleration)
What is period of a simple pendulum in simple harmonic motion?
500
A superposition of two or more waves whose intensity is less than the sum of the intensities of the individual waves
What is a Destructive Interference?
500

An oscillating object takes 0.10 seconds to complete one cycle; that is , its period is 0.10 s.

What is its frequency?

What is 1/.10 = 10 Hz?
500
______________=frequency x wavelength
What is Speed of a Wave?
500

Anthony sends a series of pluses of amplitude 24 cm down a string that is attached to a post at one end. Assuming the pulses are reflected with no loss of amplitude, what is the amplitude at a point on the string where two pulses are crossing if

a) the string is rigidly attached to the post?

b) the end at which reflection occurs is free to slide up and down?

a) 0.0cm

b) 48cm

500
The body of a 1275 kg car is supported on a frame by four springs. Two people riding in the car have a combined mass of 153 kg. When driven over a pothole in the road, the frame vibrates with a period of 0.840 s. For the first few seconds, the vibration approximates simple harmonic motion. Find the spring constant of a single spring.
k=2.00x10^4N/m
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