Question

derive formula of total energy?

Answer 1

First term in above equation is thepotential energy and second term represents the kinetic energy. Therefore, the above equation states that the sum of kinetic and potential energy remains constant. This is theequation of mechanical energy it...

Answer 2

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape. It is usually denoted by U.

The strain energy formula is given as,

U = Fδ / 2

Where,

δ = compression,

F = force applied.

When stress σ is proportional to strain ϵ, the strain energy formula is given by,

U = 1 / 2 V σ ϵ

Where,

σ = stress,

ϵ = strain,

V = volume of body

Regarding young’s modulus E, the strain energy formula is given as,

U = σ2 / 2E × V.

Where,

σ = stress,

E = young’s modulus,

V = volume

hope it's help you.