Question

A uniform rope is tied between a nail A on the wall
and a nail B on the ground. The rope without
touching the ground anywhere assumes a curved
shape known as "catenary". Tangents at the ends A
and B of this catenary make angles a and B with
the vertical respectively. Which of the following
conclusions can you make?​

Answer 1

Answer:

B is the right answer because of this catenary

Answer 2

Catenary: Is the shape of a flexible hanging chain or cable described by a curve. A freely hanging chain or string, also known as a 'Chainette,' achieves this shape if the body is of uniform mass per unit length and is acted upon solely by gravity.

From this we can say that, when a uniform rope is tied between a nail A on the wall and a nail B on the ground. The rope without touching the ground anywhere assumes a curved shape known as "catenary".

When the tangents at the ends A and B of this catenary makes an angles A and B with the vertical respectively we can derive that

• Horizontal component of the tensile force in the rope is uniform.

• Vertical component of the tensile force increases with height.

• Angle α cannot assume a value of 0°.

Hence, the conclusions made from the given statement are,

1. Horizontal component of the tensile force in the rope is uniform.
2. Vertical component of the tensile force increases with height.
3. Angle α cannot assume a value of 0°.

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