Question: Reconsider the massive string exercise above using Lagrange multipliers in order to express the constraints; i.e., the length of the string and the positions of

Reconsider the massive string exercise above using Lagrange multipliers in order to express the constraints; i.e., the length of the string and the positions of the endpoints.

Exercises Q4

In the calculation of bent rays (Sect. 2.2.2) or the massive string above, show that the quantity Г(z) = r/√1 + ˙r (z)2 is constant along the path (or string). From that observation, deduce the solution of the problem.

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Exercise Q4 Revised Consider a massive string under the influence of gravity with ends attached to two points A and B The string has a fixed length L ... View full answer

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