The shape of a suspended cable under its own weight, is A. Parabolic B. Circular C. Catenary D. Elliptical

Parabolic
Circular
Catenary
Elliptical

The correct answer is C. Catenary.

A catenary is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends. The catenary is the shape that a uniform flexible cable or chain takes when supported only at its ends and hanging under its own weight. It is the curve of equilibrium for a uniform flexible cable under its own weight, and is the shape assumed by a chain hanging freely from two points.

A parabolic curve is a curve that is symmetrical about its axis of symmetry and has the same shape on either side of the axis. A circular curve is a curve that is round and has a constant radius. An elliptical curve is a curve that is oval-shaped and has two axes of symmetry.

The shape of a suspended cable under its own weight is a catenary because the weight of the cable causes it to sag. The catenary is the shape that minimizes the potential energy of the cable, and is therefore the most stable shape for the cable to assume.

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