Physics - Mechanical Properties of Solids Question with Solution | TestHub

PhysicsMechanical Properties of SolidsElasticityMedium3 minCT48
PhysicsMediumsingle choice

The bar shown in the figure is made of a single piece of material. It is fixed at one end and consists of two segments of equal length but different cross-sectional area A and 2A. What is the change in length of the entire system under the action of an axial force F. [Consider the shape of joint to remain circular, Y is young's modulus].

CT48 diagram

Options:

Answer:
A
Solution:

Extensions add in series: F(L/2)/(2AY)+F(L/2)/(AY).

The total is 3FL/(4AY).

Stream:JEESubject:PhysicsTopic:Mechanical Properties of SolidsSubtopic:Elasticity
⏱ 3mℹ️ Source: CT48

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