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hw7solns

# hw7solns - Physics 273 Homework#7 Solutions 7.4(a For...

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Physics 273 Homework #7 Solutions

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7.4 (a) For transverse waves on a rope, the force on longitudinal section dx of the rope is the sum of the transverse components of the tension on each end of section T ( x dx/2 )·( df / dx )| x dx/2 . Setting F = ma , we have 2 2 2 2 2 2 t f dx x f dx x T x f dx x T dx x dx x The tension on the rope as a function of position x from the top is given by gx x T ) ( , so that 2 2 2 2 2 2 t f dx x f dx x g x f dx x g dx x dx x or 2 2 2 2 t f dx x f dx g x f dx gx
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