 Solution

ID: past-exam-of-the-mathematical-methods-ii-course-of-the-university-of-oxford/2017/10/b/i/solution

After the first encounter, the reflected pulse travels backwards through the heavy string with amplitude

A_{i} /3

and width

w

. The transmitted pulse has amplitude

4 A_{i} /3

40 m s^{- 1}

. Its temporal duration is unchanged at the stationary junction, so its spatial width doubles to

2 w

. Both pulses retain the original displacement sign.

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