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Reflection. A wave pulse on a string has the
Chapter 15, Problem 30E(choose chapter or problem)
Reflection. A wave pulse on a string has the dimensions shown in Fig. E15.30 at \(t=0\). The wave speed is \(40 \mathrm{~cm} / \mathrm{s}\).
(a) If point \(0\) is a fixed end, draw the total wave on the string at
\(t=15 \mathrm{~ms}, 20 \mathrm{~ms}, 25 \mathrm{~ms}, 30 \mathrm{~ms}, 35 \mathrm{~ms}, 40 \mathrm{~ms} \text {, and } 45 \mathrm{~ms}\)
(b) Repeat part (a) for the case in which point \(0\) is a free end.
Equation Transcription:
Text Transcription:
t=0
40 cm/s
O
t=15ms, 20 ms, 25 ms, 30 ms, 35 ms, 40 ms, and 45 ms
O
4.0 mm
4.0 mm
4.0 mm
v=40 cm/s
8.0 mm
Questions & Answers
QUESTION:
Reflection. A wave pulse on a string has the dimensions shown in Fig. E15.30 at \(t=0\). The wave speed is \(40 \mathrm{~cm} / \mathrm{s}\).
(a) If point \(0\) is a fixed end, draw the total wave on the string at
\(t=15 \mathrm{~ms}, 20 \mathrm{~ms}, 25 \mathrm{~ms}, 30 \mathrm{~ms}, 35 \mathrm{~ms}, 40 \mathrm{~ms} \text {, and } 45 \mathrm{~ms}\)
(b) Repeat part (a) for the case in which point \(0\) is a free end.
Equation Transcription:
Text Transcription:
t=0
40 cm/s
O
t=15ms, 20 ms, 25 ms, 30 ms, 35 ms, 40 ms, and 45 ms
O
4.0 mm
4.0 mm
4.0 mm
v=40 cm/s
8.0 mm
ANSWER:
Solution 30E
The wave speed is 40 cm/s = 400 mm/s.
In 15 ms, the wave travels ( whole wave in forward direction)
In 20 ms, the wave travels = 8 mm (whole wave in forward direction)
In 25 ms, the wave travels = 10 mm (2 mm in reverse direction)
In 30 ms, the wave travels = 12 mm (4 mm in reverse direction)
In 35 ms, the wave travels = 14 mm (6 mm in reverse direction)