A 660 Hz tuning fork sets up vibration in a string clamped

Question:

A $660 \mathrm{~Hz}$ tuning fork sets up vibration in a string clamped at both ends. The wave speed for a transverse wave on this string is $220 \mathrm{~m} / \mathrm{s}$ and the string vibrates in here loops

a. Find the length of the string

b. If the maximum amplitude of a particle is $0.5 \mathrm{~cm}$, write a suitable equation describing the motion.

Solution:

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