536 Superposition and Standing Waves*P18.30Let mV=ρrepresent the mass of the copper cylinder. The original tension in the wire isTmg Vg1==. The water exerts a buoyant force waterVg2FHGIKJon the cylinder, to reduce the tension toTVgVgVg222=−FHGIKJFHGIKJρρwaterwater.The speed of a wave on the string changes from T1µto T2. The frequency changes fromfvT1111λµλto fT221=µλwhere we assume =2Lis constant.ThenffTT212128921002892−=−water...f2300842291HzHz..*P18.31Comparingyxt=0002100.sincosmrad mrad safbgdiππwithyAkxt=2sin cosωwe findk−21πm,=200. m, and ωπ−21001fs:f=50 0. Hz(a)Then the distance between adjacent nodes isdNNm2.and on the string areLdNNmmloops3003..For the speed we havevf=−
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .