Question

a point P is dragged along the xy-plane by a string PT of length a. If T starts at the origin and moves along

the positive y- axis, and if P starts at (a, 0), what is the path of P?​

Answer 1

Answer:

Step-by-step explanation:

Solution: The differential of the path is dy dx = − √a2 −x2 x

.

Separating variables and integrating and using the condition y(a) = 0 yields y(x) = a log(a +√a2 −x2 x )−√a2 −x2.

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