Hookes's law is only a first order linear approximation to the real response of springs and other elastic bodies to applied forces.

When there are no applied forces, the total energy is constant i.e. energy is conserved.

For the Earth, however, the applied forces of the Sun and the Moon are nearly perpendicular to the axis of rotation.

The dynamic behavior results from the equilibrium of applied forces and the rate of change of momentum.

A push is an applied force intended to drive or impel.

There is also a corresponding principle for static systems called the principle of virtual work for applied forces.

In the following analysis we will consider the case where there is no damping and no applied forces (i.e. free vibration).

In the diagrams the applied forces are linear and uniformly distributed for simplicity's sake; however this need not be the case.

All stressed skin structures exhibit a minimum surface tension that can contain the applied forces.

A simple machine has an applied force that works against a load force.