Question

A thread is wound around a cylindrical bottle. What would be the locus of a point on the thread, when it is unwound from the bottle?

Answer 1

$\huge\boxed{\underline{\mathcal{\red{H}\purple{E}\green{L}\orange{L}\pink{O}}}}$

When the string is unwound, from the given curve position locus of it will be the plane of the curve. So, the locus of the points will be in involute.

Answer 2

$\huge\star\underline\mathbb\red{HELLO}$

The locus of the points will be involute.