Potential energy of a spring

In summary, the equation for the potential energy of an elastic body is equal to the strain energy minus the potential energy of loading. The strain energy is calculated using the displacement and spring constant, while the potential energy of loading may be due to non-conservative forces such as plastic deformation or friction. A reference for this concept can be found in the provided link.
  • #1
chandran
139
1
The following equation i came across when i was studying the minimum potential energy principle

QUOTE:
POTENTIAL ENERGY OF AN ELASTIC BODY(example spring)=STRAIN ENERGY-POTENTIAL ENERGY OF LOADING

We all know that the strain energy of a spring is equal to 0.5*k*x*x were x is the displacement in the spring and k is the spring constant. This is called STRAIN ENERGY.

What is the second term "POTENTIAL ENERGY OF LOADING" mean.

Only mass and elastic bodies can store energy. Why LOADING has POTENTIAL ENERGY?



Any examples/webs?
 
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  • #2
Do you have a reference for this?
 
  • #3

1. What is potential energy of a spring?

The potential energy of a spring is the energy stored in a spring when it is compressed or stretched from its equilibrium position. It is also known as elastic potential energy.

2. How is the potential energy of a spring calculated?

The potential energy of a spring can be calculated using the formula PE = 1/2kx^2, where k is the spring constant and x is the displacement from the equilibrium position.

3. What factors affect the potential energy of a spring?

The potential energy of a spring is affected by its spring constant, the displacement from its equilibrium position, and the mass attached to the spring.

4. How does the potential energy of a spring change with displacement?

The potential energy of a spring increases as the displacement from its equilibrium position increases. This is because the spring is being stretched or compressed further, storing more energy.

5. What is the relationship between potential energy and kinetic energy of a spring?

According to the law of conservation of energy, potential energy can be converted into kinetic energy and vice versa. As a spring is released from its stretched or compressed position, the potential energy decreases while the kinetic energy increases.

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