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# 456 - 5 Suppose a string of length L under a certain...

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Unformatted text preview: 5 Suppose a string of length L under a certain tension has a fundamental frequency of 440 Hz. Efthe length is out In half to U2 while maintaining the same tension, what IS the new fundamen lfre uenc '7‘ . y ”'3qu ‘ «ti/r"; t" 0 3 Hr)» F r , SC» .4 ,5? ‘ELH‘h / ’__,.:" j. if 6. Suppose that String #1 has half the Einear mass density of String #2, but both have the same tension and the same length lf String # 1 vibrates with a fu ndamental freq uency“ of3 Hz, what is the fundamental frequency of String #2? \$159 “NF: “E” ”1:: 3: 3M 5 J Law?» \ j/W ( _ MAW“ V ,l 3‘53" : :ﬁﬂgv !3§:)H2 :1: “ 2332542; “‘35 ﬁg 1% M73 tr" Jr 7, - 2:314: 7’ For a given length if you half the mass on the end of the string does the speed of the wave change? If so by how much? Explain; Vi‘3%f£"” V2? 2L3. : ?L‘é¢ r v. ﬁt, 1,, W W” m .— "‘9'". V1 ”L if; V} V '5‘? k ., 4% I ma, , V d w i _‘ g 5 '\ EM“ “‘5: 1 V1. 8. For a given length, if you quadruple (4x) the mass on the end of the string (and therefore the tension), does the fundamental frequency change? If so, by how much? Explain. iii: 1- h “ if? gm M...» l ﬁﬁf wt“); _Undar?’!»<n'i “i ﬁguéotf g n2 ...
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