In: Physics
Describe what is meant by a normal force gradient and explain how this may affect the resonance frequency of a cantilever.
In mechanics, the normal force
is the component of a contact force that is perpendicular to the
surface that an object contacts.For example, the surface of a floor
or table that prevents an object from falling. In this instance
normal is used in the geometric sense and means
perpendicular, as opposed the common language use of
normal meaning common or expected. For example, a person
standing still on flat ground is supported by a ground reaction
force that consists of only a normal force. If the person stands on
a slope and does not slide down it, then the total ground reaction
force can be divided into two components: a normal force
perpendicular to the ground and a frictional force parallel to the
ground. In another common situation, if an object hits a surface
with some speed, and the surface can withstand it, the normal force
provides for a rapid deceleration, which will depend on the
flexibility of the surface and the object.
In cantilever force gradient results in additional shift of vibrating system.