P17_021 - Now we calculate the wave speed v = r τL m =...

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21. The pulses have the same speed v . Suppose one pulse starts from the left end of the wire at time t =0. Its coordinate at time t is x 1 = vt . The other pulse starts from the right end, at x = L ,where L is the length of the wire, at time t = 30 ms. If this time is denoted by t 0 then the coordinate of this wave at time t is x 2 = L v ( t t 0 ). They meet when x 1 = x 2 , or, what is the same, when vt = L v ( t t 0 ). We solve for the time they meet: t =( L + vt 0 ) / 2 v and the coordinate of the meeting point is x = vt =( L + vt 0 ) / 2.
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Unformatted text preview: Now, we calculate the wave speed: v = r τL m = s (250 N)(10 . 0 m) . 100 kg = 158 m / s . Here τ is the tension in the wire and L/m is the linear mass density of the wire. The coordinate of the meeting point is x = 10 . 0 m + (158 m / s)(30 × 10 − 3 s) 2 = 7 . 37 m . This is the distance from the left end of the wire. The distance from the right end is L − x = 10 m − 7 . 37 m = 2 . 63 m....
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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