### Vibrational Motion

A Concept-Builder is an interactive questioning module that presents learners with carefully crafted questions that target various aspects of a concept. Each Concept Builder focuses the learner's attention upon a discrete learning outcome. Questions target that outcome from a variety of angles using multiple difficulty levels or varying activities. The following Concept Builders target concepts in Vibrations and Waves.

Period and Frequency of a Pendulum

Learning Goal: To distinguish between the frequency and the period of a pendulum and to identify the variables that affect their values.

Pendulum Motion:  Velocity and Force Analysis

Learning Goal: To relate magnitude and direction information about the velocity of and the forces upon a pendulum bob to the location of the bob along its trajectory.

Energy Analysis of a Pendulum

Learning Goal: To use words, energy bar charts, and numbers to identify how the kinetic energy, potential energy, and total mechanical energy change as a pendulum bob swings back and forth.

Period and Frequency of a Mass on a Spring

Learning Goal: To distinguish between the frequency and the period of a vibrating mass on a spring and to identify the variables that affect their values.

Vibrating Mass on a Horizontal Spring: Velocity and Force

Learning Goal: To describe the velocity of and the net force upon a mass attached to a spring that is vibrating horizontally.

Vibrating Mass on a Vertical Spring: Velocity and Force

Learning Goal: To describe the speed, the net force, and the individual forces acting upon a mass attached to a spring that is vibrating vertically.

Energy of a Vibrating Mass on a Spring

Learning Goal: To use words, energy bar charts, and numbers to identify how the kinetic energy, gravitational potential energy, elastic potential energy, and total mechanical energy change for a vibrating mass on a spring.