Due: 20 November 2020
30. page 626, 13.2.12
31. page 626, 13.2.14
32. page 633, 13.3.7
33. page 638, 13.4.6
34. page 650, 13.7.7
35. page 651, 13.7.15
36. page 662, 13.9.4
37. A stretched string extends from x = -∞ to +∞. Between
x = 1 and 2, it is displaced forming a waveform with shape -sin(πx).
The string is then
released from rest. Find the subsequent motion
using d'Alembert's solution for the wave equation.
Sketch the motion at several subsequent times. Suppose that the
string is not displaced initially but is instead struck with a mallet,
giving it an initial velocity impulse of cos(πx) between x = 1 and 2. Find
the motion of the string and sketch it at several subsequent times.