A transverse pulse is created in this string (travelling toward the right) described by the following waveform: y(z) = 0.2 -=² 1. Generate a plot of the above waveform using a computer or calculator, and make a sketch of the wave. 2. Calculate the speed of the wave travelling on the string. 3. Write down the wavefunction of this wave travelling to the right with the above calculated velocity. 4. Draw the wave at a time t = 1 s. 5. Derive an expression for the transverse velocity of the wave v,(x, t). 6. Calculate the transverse speed of the string at position x=2mat a time t = 1.0 s. 7. Draw the wave at a time t = 6 s. Be careful about the reflection of the wave from the fixed end.

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A large rope of length l = 10.0 m and mass m = 5.23 kg is tied between two fixed points with a tension T = 7.52 N.
A transverse pulse is created in this string (travelling toward the right) described by the following waveform:
y(x) = 0.2
1. Generate a plot of the above waveform using a computer or calculator, and make a sketch of the wave.
2. Calculate the speed of the wave travelling on the string.
3. Write down the wavefunction of this wave travelling to the right with the above calculated velocity.
4. Draw the wave at a time t = 1 s.
5. Derive an expression for the transverse velocity of the wave v(r, t).
6. Calculate the transverse speed of the string at position x=2mat a time t = 1.0 s.
7. Draw the wave at a time t = 6 s. Be careful about the reflection of the wave from the fixed end.
Transcribed Image Text:A large rope of length l = 10.0 m and mass m = 5.23 kg is tied between two fixed points with a tension T = 7.52 N. A transverse pulse is created in this string (travelling toward the right) described by the following waveform: y(x) = 0.2 1. Generate a plot of the above waveform using a computer or calculator, and make a sketch of the wave. 2. Calculate the speed of the wave travelling on the string. 3. Write down the wavefunction of this wave travelling to the right with the above calculated velocity. 4. Draw the wave at a time t = 1 s. 5. Derive an expression for the transverse velocity of the wave v(r, t). 6. Calculate the transverse speed of the string at position x=2mat a time t = 1.0 s. 7. Draw the wave at a time t = 6 s. Be careful about the reflection of the wave from the fixed end.
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