Speed of waves through two String

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SUMMARY

The discussion focuses on calculating the time delay between the arrival of two wave pulses through vertical wires A and B supporting an irregular beam. The beam weighs 1800 N and has a center of gravity located 1/3 from wire A. The velocities calculated for the waves in wires A and B are 50.22 m/s and 71.026 m/s, respectively. The time delays calculated are 0.0246 seconds for wire A and 0.0174 seconds for wire B, resulting in a time difference of 0.00714 seconds. The calculations indicate that despite wire A having higher tension, the wave in wire B arrives at the ceiling first.

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  • Knowledge of center of gravity and its impact on tension distribution
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Punkyc7
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A 1800 N irregular beam is hanging by its ends from a ceiling by 2 vertical wires A and B. Each are 1.24 m long and they both weigh 2.9 N. The center of gravity of this beam is 1/3 of the way along the beam from the end where wire A is attached.

If you pluck both strings at the same time at the bottom, what is the time delay between the arrival of the 2 pulses at the ceiling

v= sqrt(T/mu)

so for the velocity in strng A I did va=sqrt((1/3T+5.8)/(.23864)=50.22

did the same thing for b and got 71.026

so for the time we do Deltax=vt so t=1.24/v

ta=.0246
tb= .0174

to the time difference is .00714

my question is if I did everything right?
since the tension is higher in beam A shouldn't that one reach the ceiling for B, for some reason it turned out the other way around when I solved for v
 
Last edited:
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Check your equation for va.

ehild
 

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