A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscillations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Select below the correct statement on how to proceed to calculate the maximum speed of up and down harmonic motion in the middle of the string. Select one: O a. Write down the corresponding equation for the harmonic motion and take a derivative perpendicular to the string. b. Write down the corresponding equation for the harmonic motion and take a derivative along the string. O c. Write down the corresponding equation for the harmonic motion and take a time derivative.

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A string of 1 m length clamped at
both ends is plucked in the middle to
generate a standing wave. Take the
frequency of the first harmonic to be
10 Hz and the amplitude of the
oscillations to be 2 cm. Consider the
motion to be a simple harmonic one
where appropriate. Select below the
correct statement on how to proceed
to calculate the maximum speed of
up and down harmonic motion in
the middle of the string.
Select one:
a. Write down the
corresponding equation for the
harmonic motion and take a
derivative perpendicular to the
string.
b. Write down the
corresponding equation for the
harmonic motion and take a
derivative along the string.
c. Write down the
corresponding equation for the
harmonic motion and take a time
derivative.
Transcribed Image Text:A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscillations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Select below the correct statement on how to proceed to calculate the maximum speed of up and down harmonic motion in the middle of the string. Select one: a. Write down the corresponding equation for the harmonic motion and take a derivative perpendicular to the string. b. Write down the corresponding equation for the harmonic motion and take a derivative along the string. c. Write down the corresponding equation for the harmonic motion and take a time derivative.
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