The formula to calculate the Deflection of a Spring when a mass is attached to it is:
\[ \text{Deflection} = \frac{\text{Mass} \times \text{Acceleration due to Gravity}}{\text{Stiffness of Spring}} \]
Deflection of Spring is how a spring responds when force is applied or released. Mass of Body is the quantity of matter in a body regardless of its volume or of any forces acting on it. Acceleration due to Gravity is the acceleration gained by an object because of gravitational force. Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation.
Let's assume the following values:
Using the formula:
\[ \text{Deflection} = \frac{12.6 \times 9.8}{0.75} \approx 164.64 \, \text{meters} \]
The Deflection of the Spring is approximately 164.64 meters.
| Mass (kg) | Acceleration due to Gravity (m/s²) | Stiffness (N/m) | Deflection (meters) |
|---|---|---|---|
| 10 | 9.8 | 0.75 | 130.666666666666657 |
| 11 | 9.8 | 0.75 | 143.733333333333348 |
| 12 | 9.8 | 0.75 | 156.800000000000011 |
| 13 | 9.8 | 0.75 | 169.866666666666674 |
| 14 | 9.8 | 0.75 | 182.933333333333366 |
| 15 | 9.8 | 0.75 | 196.000000000000000 |