Force Acting on Body Moving on Inclined Plane
Required force to move a body up an inclined plane
If we neglect friction between the body and the plane - the force required to move the body up an inclined plane can be calculated as
Fp = W h / l
= W sin α
= m ag sin α (1)
where
Fp = pulling force (N, lbf)
W = m ag
= gravity force - or weight of body (N, lbf)
h = elevation (m, ft)
l = length (m, ft)
α = elevation angle (degrees)
m = mass of body (kg, slugs)
ag = acceleration of gravity (9.81 m/s2, 32.174 ft/s2)
By adding friction - (1) can be modified to
Fp = W (sin α + μ cos α)
= m ag (sin α + μ cos α) (2)
where
Example - Pulling Force on Inclined Plane
A body with mass 1000 kg is located on a 10 degrees inclined plane. The pulling force without friction can be calculated as
Fp = (1000 kg) (9.81 m/s2) sin(10o)
= 1703 N
= 1.7 kN
Online Inclined Plane Force Calculator - SI Units
The calculator below can be used to calculate required pulling force to move a body up an inclined plane.
Online Inclined Plane Force Calculator - Imperial Units
Angle of Repose
A body resting on a plane inclined at at an angle α to the horizontal plane is in a state of equilibrium when the gravitational force tending to slide the body down the inclined plane is balanced by an equal and opposite frictional force acting up the inclined plane.
For equilibrium the "angle of response" α can be expressed as:
μ = Fp / Fn = (W sin α) / (W cos α) = tan α (3)
Related Topics
Related Documents
Tag Search
- en: forces inclined planes friction
- es: fuerzas de fricción planos inclinados
- de: Kräfte geneigten Ebenen Reibung
