﻿ Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Fig. 9.13. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. Compute the elongations of the steel and the brass wires. from Physics Mechanical Properties of Solids Class 11 Manipur Board

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Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Fig. 9.13. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. Compute the elongations of the steel and the brass wires.

Given,
Diameter of the wires = 0.25 cm
That is, d= d= 0.25 cm

Therefore,
Radius of the wires will be given by,

Unloaded length of the steel wire, Ls=1.5 m
Unloaded length of the brass wire, L= 1 m

Young's modulus of steel, Ys = 2  Pa
Young's modulus of brass, YB
m1 = 4 kg and m2 = 6 kg

Brass wire is under a tension of load 6 kg.

Therefore, increase in length is given by

Since, brass wire is under a tension of load 6 kg.

"
Steel wire is under a tension of 10 kg load.

Therefore, elongation of length of the wire,

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