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2 cards from this section. Quick, good the night before a test.
What is the two-dimensional wave equation?
Look for how displacement relates to wave speed.
What does a membrane represent in this context?
Think of musical instruments, like drums.
What is the main equation governing the motion of a vibrating membrane?
Focus on the relationship of tension and mass.
True or False: A vibrating membrane's boundary conditions are not important.
Think about what happens at the edges.
Consider a square membrane fixed at all edges. If it experiences a specific force at its center, determine how the initial conditions would change.
Visualize the force applied and its effect on the membrane.
Given the wave speed equation, derive how changing the tension affects the natural frequencies of vibration.
Think about how more tension stretches the membrane.
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