Physics

Problem

Two strings, A and B, are stretched between rigid supports and are under the same initial tension of

120\,\text{N}

. • String A: length

0.80\,\text{m}

, linear mass density

5.0\times10^{-3}\,\text{kg}\,\text{m}^{-1}

• String B: length

0.60\,\text{m}

, linear mass density

8.0\times10^{-3}\,\text{kg}\,\text{m}^{-1}

(i) Find the ratio of the fundamental frequencies

f_A : f_B

. (ii) Identify which string produces the higher pitch in its fundamental mode. (iii) The tension in string B is now adjusted so that its fundamental frequency equals that of string A while the tension in A remains

120\,\text{N}

. Calculate the new tension required in string B. a. (i) Frequency ratio of fundamentals. b. (ii) Identify higher pitch. c. (iii) New tension in string B for equal frequencies.

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