Body Forces on Inclined Planes
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Ads by Google ► Forces ► Water Pump ► Friction ► Physics Search - "Search is the most efficient way to navigate the Engineering ToolBox!" Body Forces on Inclined Planes Determine force required to move a body up on an inclined plane Sponsored Links Pressure Vessel Designer? analyzeforsafety.com 1st blog on vessel design and FEA share your passion and get inspired Neglecting the friction the force required to move a body up an inclined plane can be expressed with the formula F p = W h / l = W sin α (1) where F p = pulling force (N, lb f ) W = m g = weight of body (N, lb f ) h = elevation (m, ft) l = length (m, ft) α = elevation angle (degrees) m = mass of body (kg, slugs ) g = acceleration of gravity = 9.81 (m/s 2 ) = 32.174 (ft/s 2 ) Adding friction (1) can be modified to F p = W (sin α + μ cos α) (2) where μ = friction coefficient Example - Pulling Force on an 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/s 2 ) sin(10 o ) = 1703 N Online Inclined Plane Force Calculator - SI Units
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Body Forces on Inclined PlanesDetermine force required to move a body up on an inclined plane
Sponsored Links
Pressure Vessel Designer?analyzeforsafety.com
1st blog on vessel design and FEAshare your passion and get inspired
Neglecting the friction the force required to move a body up an inclined plane can be expressed with the formula
Fp = W h / l
= W sin α (1)
where
Fp = pulling force (N, lbf)
W = m g = weight of body (N, lbf)
h = elevation (m, ft)
l = length (m, ft)
α = elevation angle (degrees)
m = mass of body (kg, slugs)
g = acceleration of gravity = 9.81 (m/s2) = 32.174 (ft/s2)
Adding friction (1) can be modified to
Fp = W (sin α + μ cos α) (2)
where
μ = friction coefficient
Example - Pulling Force on an Inclined PlaneA 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
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.
1000 mass of body - m - (kg)
10 elevation angle - α - (degrees)
0 friction coefficient - μ - (zero when neglecting friction)
Calculate!
Online Inclined Plane Force Calculator - Imperial Units
1000 mass of body - m - (slugs)
10 elevation angle - α - (degrees)
0 friction coefficient - μ - (zero when neglecting friction)
Calculate!
Angle of ReposeA body resting on a plane inclined at at an angle α to the horizontal plane is in a state of equiibrium when the gravitational force tending to slide thebody 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)
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Acceleration of Gravity and Newton's Second Law - Acceleration of gravity and Newton's Second Law - SI and Imperial units
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Tag Search
en: forces inclined planes frictiones: fuerzas de fricción planos inclinadosde: Kräfte geneigten Ebenen Reibung
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