Inclined Plane

Claimed by Sunmin Kim Skim883 (Fall2016)

Definition

inclined(adj): deviating in direction from the horizontal or vertical; sloping
plane(n):a flat or level surface
Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.

Why do we need to know?

When we solve physics problems, it is necessary to understand free diagram.
Understanding this inclined plane will help you apply gravity and angles on calculating forces.

Uses

You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.

Physics of the Inclined Plane

θ= Angle of the plane to the horizontal
g= Acceleration due to gravity
m= Mass of object
N= Normal force (perpendicular to the plane)
f = frictional force of the inclined plane (sometimes it is omitted on test problems)
mgSinθ= A force parallel to the plane (mgSinθ > f the body slides down the plane)
mgCosθ= A force acting into the plane (opposite to N)

Mechanical Advantage

Fw is a gravitational force that applies on the plane
Fi is a force exerted on the object and parallel to the plane

[math]\displaystyle{ \mathrm{MA} = \frac{F_w}{F_i}. \, }[/math]