A wire elongates by l mm when a load W is hanged from it. If the wire goes over a pulley and tw

step 1 In this question it is given that a wire elongates by L -MM when a low W is hanged from it. Now

A wire elongates by l mm when a load W is hanged from it....

A wire elongates by $l \mathrm{~mm}$ when a load $W$ is hanged from it. If the wire goes over a pulley and two weights $W$ each are hung at the two ends, the elongation of the wire will be (in $\mathrm{mm}$ )
(a) $l / 2$
(b) $l$
(c) $2 l$
(d) zero

Key Concepts

Series Combination of Elastic Elements

When a continuous elastic element, such as a wire or a spring, is effectively divided into segments (or considered as springs in series), the total extension is the sum of the individual extensions of each segment. This concept is key to understanding how distributed forces, acting on different sections of a material, add up to produce an overall deformation.

Tension in a Continuous Medium

In a continuous medium like a wire, when forces are applied at different points, the tension is transmitted uniformly along the length of the material. Analyzing the tension helps in determining how forces acting from multiple directions or at different points combine to produce the net extension in the material.

Young's Modulus

Young's Modulus is a measure of the stiffness of an elastic material and is defined as the ratio of stress (force per unit area) to strain (relative extension or deformation). It provides a way to quantify the elastic properties of a substance and explains how much a material will stretch or compress under a given load.

Hooke's Law

Hooke's Law states that, within the elastic limit of a material, the extension produced in a body is directly proportional to the force applied. This fundamental relationship in elasticity helps in understanding how materials deform under load, and it is used to relate force, extension, and the material’s stiffness.

Transcript

Please give Ace some feedback