Solved: Tractrix A person P, starting at the origin, moves
Chapter 1, Problem 1.1.139(choose chapter or problem)
Tractrix A person P, starting at the origin, moves in the direction of the positive x-axis, pulling a weight along the curve C, called a tractrix, as shown in Figure 1.3.22. The weight, initially located on the y-axis at (0, s), is pulled by a rope of constant length s, which is kept taut throughout the motion. Determine a differential equation for the path C of motion. Assume that the rope is always tangent to C. FIGURE 1.3.22 Tractrix curve in FIGURE y x (0, s) (x, y) y s P C
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