P17_046 - 46 Since the rope is xed at both ends then the...

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46. Since the rope is fxed at both ends, then the phrase “second-harmonic standing wave pattern” describes the oscillation shown in Figure 17-21(b), where λ = L and f = v L (see Eq. 17-52 and Eq. 17-53). (a) Comparing the given ±unction with Eq. 17-47, we obtain k = π/ 2and ω =12 π (SI units understood). Since k =2 π/λ then 2 π λ = π 2 = λ =4m = L =4m . (b) Since
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