:''This article deals with the
physical structure. For related terms see,
canal inclined plane,
cable railway,
funicular, or
fixed-wing aircraft (airplane).''
The inclined plane is one of the classical
simple machines; as the name suggests, it is a flat surface whose endpoints are at different heights. By moving an object up an inclined plane rather than directly from one height to another, the amount of force required is reduced, at the expense of increasing the distance the object must travel. The
mechanical advantage of an inclined plane is the ratio of the length of the sloped surface to the height it spans; this may also be expressed as the
sine of the angle between the plane and the horizontal.
Examples of inclined planes
Examples where "inclined planes" are to be found:
ramp, sloping roads and hills, windshield, funnel, water slide,
chisels,
hatchets,
plows,
air hammers, carpenter's
planes, and
wedges. The most canonical example of an inclined plane is a sloped surface; for example a
roadway to
bridge a height difference. Another simple machine based on the inclined plane is a
blade, where two inclined planes placed back to back allow the two parts of the cut object to move apart using less force than would be needed to pull them apart in opposite directions. Other examples:
aircraft wings,
helicopter rotors,
propellers used in aircraft, boats or pumps,
windmills,
water wheels,
turbine blades,
rotary fan blades, and machine
screws, a ramp that is attached to the back of the moving van, or a children's slide.
Physics inclined plane problem

Key:
N =
Normal force that is perpendicular to the plane
m =
Mass of object
g = Acceleration due to
gravityθ (
theta) = Angle of elevation of the plane, measured from the horizontal
''f'' =
frictional force of the inclined plane
The inclined plane gives rise to a common elementary
physics exercise. Consider an object placed on an inclined plane, and describe mathematically the forces acting upon that object. There are three forces acting on the body (neglecting
air resistance):
#The
normal force ('N') exerted by the plane onto the body,
#the force due to gravity ('mg' - acting vertically downwards) and
#the frictional force ('f') acting parallel to the plane.
The gravitational force may be visualised as two components: A force parallel to the plane ('mgSinθ') and a force acting into the plane ('mgCosθ') which is equal and opposite to 'N'. If the force acting parallel to the plane ('mgSinθ') is greater than the frictional force 'f' - then the body will slide down the inclined plane - otherwise it will remain stationary.
When the slope angle ('θ') is zero, sinθ is also zero so the body does not move.
External links
★
An interactive simulation of Physics inclined plane