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Two wires are anchored at both ends. Wire 1 has a mass of 120 gm and a length of

ID: 2118445 • Letter: T

Question

Two wires are anchored at both ends. Wire 1 has a mass of 120 gm and a length of 9.4 m. Wire 2 has a mass of 50 grams, a length of 20 m, and a tension of 114 N. What must be the tension (to the nearest Newton) in Wire 1 if its third harmonic is to equal the first overtone of Wire 2?


please help me with this. Please show your work so i can follow it. Thanks again.

Explanation / Answer

f= (n/2*l) * sqrt(T/m)....................... n---> no of loops, m---> linear mass density................. f3 = F2............................... ===> (3/2*9.4) * sqrt(T*9.4/0.12) = (2/2*20) * sqrt(114*20/0.05) ===> T = 57.12 N

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