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No headers. In order to form a complete system of equations describing the continuum’s dynamics, one needs to complement Eq. (25) with an appropriate constitutive equation describing the relation between the forces described by the stress tensor \(\sigma_{i j}\), and the deformations \(\mathbf{q}\) described (in the small deformation limit) by the strain tensor \(s_{j j}\).
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Hooke's law is an empirical physical law describing the linear relationship between the restorative force exerted by a spring and the distance by which the spring is displaced from its equilibrium length. A spring which obeys Hooke's law is said to be Hookean. In addition to springs, Hooke's law is often a good model for arbitrary physical systems that exhibit a tendency to ...
Let's learn a little bit about springs. So let's say I have a spring. Let me draw the ground so that we know what's going on with the spring. So let me see, this is the floor. That's the floor, and I have a spring. It's along the floor. I'll use a thicker one, just to show it's a spring.
Hooke's Law 1.0.39 - PhET Interactive Simulations
The spring force is called a restoring force because the force exerted by the spring is always in the opposite direction to the displacement. This is why there is a negative sign in the Hooke’s law equation. Pulling down on a spring stretches the spring downward, which results in the spring exerting an upward force.
GCSE; AQA Trilogy; Forces and elasticity - AQA Hooke's law. Forces are responsible for changing the motion of objects. If more than one force is present, the shape of an object can also be changed.
