Normal modes of a composite string
Not what you're looking for?
Consider the normal modes of a vibration under uniform tension of a stretched string consisting of two sections of unequal mass density, so that the wave speed differs from one section to the next.
a. What conditions must be satisfied by the string displacement at the junction of the two sections?
b. Suppose that the mass density is higher (and the wave speed lower) in region A than in region B. The string is set vibrating in a high normal mode, so that there are several nodes in each region. Is the distance between notes in region A larger or smaller than that in region B? In which region is the amplitude of vibration larger?
Explain your choices
Purchase this Solution
Solution Summary
In this solution we investigate properties of waves propagating on a composite string.
Solution Preview
(a) The two conditions that must be met at the boundary of regions A and B are that the displacements must match there and also that the spatial derivatives of ...
Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.
Introduction to Nanotechnology/Nanomaterials
This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.
The Moon
Test your knowledge of moon phases and movement.
Basic Physics
This quiz will test your knowledge about basic Physics.