A rod of mass M , area of cross section A and length ℓ 0 is connected with a spring as shown in figure. If coefficient of linear expansion of rod is α and initially no extension was there in the spr

Question

A rod of mass M , area of cross section A and length $ℓ_{0}$ is connected with a spring as shown in figure. If coefficient of linear expansion of rod is $α$ and initially no extension was there in the spring of spring constant k , then the stress developed in rod when its temperature is increased by $Δ T$ , is [Young's Modulus of material of the rod is Y]

TestHub · Accepted Answer

Change in length of rod = ( 10 aDT − x ) ⟹ kx = ( ℓ 0 ​ ℓ 0 ​ α Δ T − x ​ ) yA ⇒ x [ k ℓ 0 ​ + YA ] = ℓ 0 ​ α Δ TYA ∴ A F ​ = A kx ​ = k ℓ 0 ​ + YA k ℓ 0 ​ α Δ TY ​

Physics - Heat & Thermo Question with Solution | TestHub

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