A block of mass M area of cross-section A and length $ℓ$ is placed on smooth horizontal floor. Two forces $F_{1} = 5 N$ and $F_{2} = 3 N$ are applied on the block as shown in the figure. If Y is Young's modulus of elasticity of material, then total extension in the length of the block will be

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CT48 diagram

TestHub · Accepted Answer

The block acceleration is (5-3)/M. Internal force varies linearly; integration of stress/Y along the length gives 2l/(AY).

Physics - Mechanical Properties of Solids Question with Solution | TestHub

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