A metallic wire is suspended by suspending a weight to it. If α be t

1.	A metallic wire is suspended by suspending a weight to it. If α be the longitudinal strain and Y its young's modulus of elasticity, show that the elastic potential energy per unit volume is given by (Yα2/2).
Answer» Stress = Young's modulus x strain = Y x α Elastic potential energy per unit volume is u = 1/2 x stress x strain = 1/2 x Y x α x α = 1/2 x Y x α²

A metallic wire is suspended by suspending a weight to it. If α be the longitudinal strain and Y its young's modulus of elasticity, show that the elastic potential energy per unit volume is given by (Yα2/2).

Answer»

Stress = Young's modulus x strain = Y x α

Elastic potential energy per unit volume is

u = 1/2 x stress x strain = 1/2 x Y x α x α = 1/2 x Y x α²