A horizontal string tied at both ends is vibrating in its fundamental mode. The

Question

A horizontal string tied at both ends is vibrating in its fundamental mode. The traveling waves have speed v, frequency f, amplitude A, and wavelength .

Part E

Calculate the maximum transverse velocity of the point located at x=/4.

Express your answer in terms of the variables v, f,  A, , and appropriate constants.

Part F

Calculate the maximum transverse acceleration of the point located at x=/4.

Express your answer in terms of the variables v, f,  A, , and appropriate constants.

Part G

What is the amplitude of the motion at the point located at x=/4?

Express your answer in terms of the variables v, f,  A, , and appropriate constants.

Part H

How much time does it take the string to go from its largest upward displacement to its largest downward displacement at the point located at x=/4?

Express your answer in terms of the variables v, f,  A, , and appropriate constants.

Explanation / Answer

First calculate radian frequency :
=2f
At L/4, the displacement is at a maximum.
1. v = A
2. a = A^2
3. Amplitude = A.
4. t = 2A/A = 2/

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