490_Physics ProblemsTechnical Physics

490_Physics ProblemsTechnical Physics - 492 Wave Motion v=...

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492 Wave Motion P16.62 (a) v k x = = = ω 15 0 3 00 5 00 . . . m s in positive -direction (b) v x = = 15 0 3 00 5 00 . . . m s in negative -direction (c) v x = = 15 0 2 00 7 50 . . . m s in negative -direction (d) v x = = 12 0 24 0 1 2 . . m s in positive -direction P16.63 Young’s modulus for the wire may be written as Y T A L L = , where T is the tension maintained in the wire and L is the elongation produced by this tension. Also, the mass density of the wire may be expressed as ρ µ = A . The speed of transverse waves in the wire is then v T Y T A A L L = = = µ ρ µ c h and the strain in the wire is L L v Y = ρ 2 . If the wire is aluminum and v = 100 m s, the strain is L L = × × = × 2 70 10 100 7 00 10 3 86 10 3 2 10 4 . . . kg m m s N m 3 2 e j b g . *P16.64 (a) Consider a short section of chain at the top of the loop. A free-
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