A guitar string is vibrating in its fundam ental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.388 m. The maximum transverse acceleration of a point at the middle of the segment is 8100 m/s2 and the maximum transverse velocity is 3.60 m/s.a. What is the amplitude of this standing wave?b. What is the wave speed for the transverse traveling waves on this string?

Question
Asked Oct 21, 2019

A guitar string is vibrating in its fundam ental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.388 m. The maximum transverse acceleration of a point at the middle of the segment is 8100 m/s2 and the maximum transverse velocity is 3.60 m/s.

a. What is the amplitude of this standing wave?

b. What is the wave speed for the transverse traveling waves on this string?

check_circleExpert Solution
Step 1

The wave function is 

y Asin (kx-)
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y Asin (kx-)

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Step 2

The transverse velocity of the guitar string is

dy
dt
- A cos(kx -
[2]
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dy dt - A cos(kx - [2]

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Step 3

The transverse acceleration o...

dy
a
dt
3]
- -0A sin (k-)
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dy a dt 3] - -0A sin (k-)

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