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Chapter 1: Q31E (page 1)

Reflection. A wave pulse on a string has the dimensions shown in Fig. E15.31 at \(t = 0\). The wave speed is \(5\;{{\rm{m}} \mathord{\left/

{\vphantom {{\rm{m}} {\rm{s}}}} \right.

\nulldelimiterspace} {\rm{s}}}\). (a) If point \(O\) is a fixed end, draw the total wave on the string at \(t = 1.0\;{\rm{ms}}\), \(2.0\;{\rm{ms}}\), \(3.0\;{\rm{ms}}\), \(4.0\;{\rm{ms}}\), \(5.0\;{\rm{ms}}\), \(6.0\;{\rm{ms}}\), and \(7.0\;{\rm{ms}}\). (b) Repeat part (a) for the case in which point \(O\) is a free end

Short Answer

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(a)

The wave for the given times is shown below,

Step by step solution

01

Identification of the given data

The given data can be listed below as,

  • The fig. E15.31.
  • The wave speed is, \(v = 5\;{{\rm{m}} \mathord{\left/
  • {\vphantom {{\rm{m}} {\rm{s}}}} \right.
  • \nulldelimiterspace} {\rm{s}}}\).
02

Significance of the wave speed

Wave speed is a feature of waves that can be used to describe the absolute value of phase velocity or the speed at which a wave phase moves at a specific frequency group velocity, which differs from the phase velocity for dispersive waves, is the rate of propagation for the envelope of wave groups and frequently of wave energy.

03

Determination of the draw the total wave on the string if point o fixed

The consequence of the reflection is an inverted pulse moving to the right for the fixed end and an upright pulse moving to the right for the free end.

The wave for the given times is shown below,

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