Vibrations and Waves
We have 15 ready-to-use problem sets on the topic of Vibrations and Waves. These problem sets focus on the use of basic wave quantities like frequency, period, wavelength, amplitude and speed to analyze physical situations involving vibrating objects and wave motion.
There are 6 ready-to-use problem sets on the topic of Simple Harmonic Motion. Most problems are multi-part problems requiring an extensive analysis. The problems target your ability to use of simple harmonic motion equations combined with force relationships to solve problems involving cyclical motion and springs
We have 15 ready-to-use problem sets on the topic of Vibrations and Waves. These problem sets focus on the use of basic wave quantities like frequency, period, wavelength, amplitude and speed to analyze physical situations involving vibrating objects and wave motion.
Along with some review sets comprised of the problems in these sets (CP = Conceptual Physics, HP = Honors Physics)
Problem Sets
Set SHM1: Determining the Values of a Horizontal Spring-Mass System
4 Problems - Very Hard Difficulty
Analyze a horizontal mass-spring system to determine values of frequency, period, maximum KE and PE, and the instantaneous values of parameters such as velocity, acceleration, force, and energy.
Set SHM2: Mass on a Spring and Proportional Reasoning
7 Problems - Hard Difficulty
Use proportional reasoning skills to analyze the motion of a mass on a horizontal spring to predict the effect that changes in mass, amplitude, and spring constant would have upon the subsequent motion.
Set SHM3: Using Pos, Vel, Acc vs Time Graphs
3 Problems - Hard Difficulty
Relate the position, velocity, acceleration, and time values for a mass vibrating on a horizontal spring.
Set SHM4: Determining the Values of a Vertical Spring-Mass System
4 Problems - Very Hard Difficulty
Analyze a vertical spring system to determine a variety of values, including frequencies, periods, energies (kinetic and potential), accelrations, forces, positions, velocities, and accelerations.
Set SHM5: Springs in Combination
6 Problems - Hard Difficulty
Analyze a spring-mass system consisting of a combination of two or more springs attached to an object with either a side-by-side configuration or an end-to-end configuration.
Set SHM6: Oscillating Spring-Mass System Applications
4 Problems - Hard Difficulty
Apply an understanding of spring concepts to analyze a collection of complex spring-mass scenarios.
Summary Sets
These activities are combinations of the above Problem Sets, used primarily for Lesson Plans activities and Review
WM1: Frequency and Period
6 Problems - Easy Difficulty
Use information about an object undergoing periodic motion in order to determine the frequency and/or the period of vibration.
WM2: Pendulum Motion
6 Problems - Medium Difficulty
Relate the frequency and the period of a pendulum’s vibrations to the length of the pendulum.
WM3: Mass on a Spring
7 Problems - Medium Difficulty
Relate the frequency and period of a mass undergoing simple harmonic motion to the spring constant and the mass of the vibrating object.
WM4: Wavelength
9 Problems - Very Easy Difficulty
Analyze a wave pattern and use the wavelength concept to relate the number of waves in a pattern and the distance between two points to the wavelength of the wave.
WM5: Wave Speed 1
6 Problems - Medium Difficulty
Relate the speed of a wave to the distance the wave travels in a specified amount of time.
WM6: Wave Speed 2
6 Problems - Medium Difficulty
Use information about the frequency and the wavelength to determine the speed of a wave.
WM7: Wave Speed 3
6 Problems - Medium Difficulty
Use information about the wave speed and the frequency or the wavelength to calculate the wavelength or the frequency of a wave.
WM8: Wave Speed 4
6 Problems - Hard Difficulty
Use the relationships between frequency and period, between distance, time, and speed, and between speed, frequency, and wavelength to determine unknown wave quantities.
WM9: Wave Speed 5
6 Problems - Medium Difficulty
Use the relationships between frequency and period, between distance, time, and speed, and between speed, frequency, and wavelength to determine unknown wave quantities.
WM10: Standing Wave Patterns 1
6 Problems - Easy Difficulty
Determine the wavelength of the waves forming a standing wave pattern when given a diagram of the pattern and the length of the rope.
WM11: Standing Wave Patterns 2
6 Problems - Easy Difficulty
Determine the wavelength of the waves forming a standing wave pattern when given the harmonic number and the length of the wire.
WM12: Standing Wave Mathematics 1
7 Problems - Medium Difficulty
Analyze physical situations involving standing waves to determine the frequency, wavelength, or speed.
WM13: Standing Wave Mathematics 2
7 Problems - Hard Difficulty
Analyze standing wave situations to relate the frequency, wavelength, speed harmonic pattern (or number), and the number of vibrations in a given amount of time.
WM14: Standing Wave Mathematics 3
7 Problems - Hard Difficulty
Analyze standing wave situations to relate the frequency, wavelength, speed harmonic pattern (or number), and the number of vibrations in a given amount of time.
WM15: Wave Behavior
4 Problems - Medium Difficulty
Analyze situations involving wave interference or boundary behavior.
Waves & Sound 1: Wave Speed (CP)
5 Problems - Medium Difficulty
Use the speed equation (v = d/t) and the wave speed equation (v = f•λ) to solve the following problems.
Waves & Sound 1: Wave Properties
8 Problems - Easy Difficulty
Use your basic wave equations for frequency and period, wavlength and length, speed-distance-time, and speed-wavelength-frequency to solve the following problems.
Waves & Sound 1: Wave Properties (HP)
8 Problems - Medium Difficulty
Use your basic wave equations for frequency and period, wavlength and length, speed-distance-time, and speed-wavelength-frequency to solve the following problems.
Waves & Sound 2: Standing Wave Math (CP)
7 Problems - Easy Difficulty
Use the wave speed equation (v = f•λ), a standing wave pattern (draw one if not provided), the relationship between L and λ, and the relationship between fn and f1 to solve the following problems.
Waves & Sound 2: Standing Waves
5 Problems - Medium Difficulty
Use your understanding of the length-wavelength relationships for the various harmonics and basic wave equations to solve the following problems.
Waves & Sound 2: Standing Waves (HP)
10 Problems - Medium Difficulty
Use your understanding of the length-wavelength relationships for the various harmonics and basic wave equations to solve the following problems.