Question

A trolley wire weighs 1.2 kg per metre length . The ends of wire are attached to two poles 20 metres apart . If horizontal tension is 1500 kg find the dip in the middle of the span .​

Answer 1

Explanation:

the dip in the middle of the span of 39 meters

Answer 2

The dip in the middle of the span is 0.04 m.​

Explanation:

Given the weight per unit length, w = 1.2 kg/m.

The length of the wire, L = 20 m.

The horizontal tension, T = 1500 kg

Let the dip in the middle of the span is S.

The horizontal force (TENSION) is given as

$T=\frac{wL^2}{8S}$

Substitute the given values, we get

$1500kg=\frac{1.2kg/m(20m)^2}{8\times S}$

$S=\frac{480kg.m}{8\times1500kg}$

S = 0.04 m.

Thus,  the dip in the middle of the span is 0.04 m.​

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