A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Calculate: The value of maximum velocity of up and down motion of the string at midpoint. 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.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.12P
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A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Calculate:

The value of maximum velocity of up and down motion of the string at midpoint.

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.

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