4.2.3 Hooke's Law Data Analysis

Types: N/A
Examples: N/A
Constructions: N/A
Generalizations: 4.2.2 Vector Arithmetic in Mass Spring Chain

Properties: N/A
Sufficiencies: N/A
Questions: N/A

Hooke's Law Data Analysis

When analyzing mass-spring systems, we often use Hooke's law which states that the internal forces of a spring are directly proportional to the elongation of a spring.

\vec{f} = - k \vec{u}

$k$ is the spring constant (spring stiffness)
$\vec{u}$ is the calculated displacement vector
$\vec{f}$ is the force vector

From our data from 4.2.2 Vector Arithmetic in Mass Spring Chain, we can graph a trend line to get the value of $k$ .