(Bonus - 4 points) I have a rope of fixed length L that is tied to a wall. The linear mass density of the rope is µ, and

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Bonus 4 Points I Have A Rope Of Fixed Length L That Is Tied To A Wall The Linear Mass Density Of The Rope Is U And 1 (303.68 KiB) Viewed 35 times

(Bonus - 4 points) I have a rope of fixed length L that is tied to a wall. The linear mass density of the rope is µ, and I apply a tension T to it. The fundamental frequency of the rope is fo. Frequency, tension, and linear mass density have standard SI units of Hz, N, and kg/m, respectively (a) If I change the tension to 2T, what is the new fun- damental frequency of the string? (b) If I change the tension to 27 and the length to 2L, what is the new fundamental frequency of the string? (c) If a second rope, kept at the same tension and the same length (as initially described in the problem) vibrates with a frequency of 2fo, what is the linear mass density of the rope? (d) Let's say I take two ropes, each with the same length and under the same tension. I pluck one string and I hear a note at 175 Hz. Next I pluck both strings - the volume of the note I hear oscillates at a frequency of 5 Hz. What is the ratio between the masses of the two strings?