PLEASE STEP BY STEP A horizontal string tied at both ends is vibrating in its fu

Question

PLEASE STEP BY STEP

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 A
Calculate the maximum transverse velocity of the point located at x=/2.
Express your answer in terms of the variables v, f,  A, , and appropriate constants.

vmax =
22A2f2

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Part B
Calculate the maximum transverse acceleration of the point located at x=/2.
Express your answer in terms of the variables v, f,  A, , and appropriate constants.

amax =

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Part C
What is the amplitude of the motion at the point located at x=/2?
Express your answer in terms of the variables v, f,  A, , and appropriate constants.

Asw =

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Part D
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=/2?
Express your answer in terms of the variables v, f,  A, , and appropriate constants.

t =

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Explanation / Answer

at lambda/2 ,

at each end it is a node and we know that velocity and acceleration are 0 at node

(a)

vmax = 0

(b)

amax = 0

(c)

Asw = 0

(d)

time t = 1/2*f

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