Question

Derive an expression for young's modulus in the case of stretched string

Answer 1

Expression for Young's modulus in the case of a stretched string can be derived as shown below;  

                    

• Consider metal bar of cross-sectional area A.It is pulled by a force F at each end.

• The bar stretches from its original length L₁ to a new length Lₙ.

• The stress is the ratio of the tensile force to the cross-sectional area A, That is stress=F/A.

• The strain is the change in length (Lₙ − L₁ )divided by the original length L₁.That is  strain= (Lₙ − L₁)/L₁ .

• Thus Young’s modulus can be expressed  as;

                                 Y=Stress/Strain

                                   Y =(F/A)÷(Lₙ − L₁/L₁)

                                     

• Young's modulus(Y) is a type of modulus of elasticity.

• Stress is directly proportional to the strain.

• The ratio of stress by strain is a constant called modulus of elasticity.

• Modulus of elasticity is 3 type.

                   *Young's modulus

                   *Shear modulus

                   *Bulk modulus

• Young's modulus is the ability of a material to  change in length under a linear strain.

                     

Answer 2

Answer:

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