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Effort to Move Downwards Considering Friction is the force applied in a given direction to cause the body to slide with uniform velocity parallel to the plane. Check FAQs
Pd=W⋅sin(αi-Φ)sin(θe-(αi-Φ))
Pd - Effort to Move Downwards Considering Friction?W - Weight of Body?αi - Angle of Inclination of Plane to Horizontal?Φ - Limiting Angle of Friction?θe - Angle of Effort?

Effort Applied to Move Body Downward on Inclined Plane Considering Friction Example

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Here is how the Effort Applied to Move Body Downward on Inclined Plane Considering Friction equation looks like with Values.

Here is how the Effort Applied to Move Body Downward on Inclined Plane Considering Friction equation looks like with Units.

Here is how the Effort Applied to Move Body Downward on Inclined Plane Considering Friction equation looks like.

47.8465Edit=120Edit⋅sin(23Edit-2Edit)sin(85Edit-(23Edit-2Edit))
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Effort Applied to Move Body Downward on Inclined Plane Considering Friction Solution

Follow our step by step solution on how to calculate Effort Applied to Move Body Downward on Inclined Plane Considering Friction?

FIRST Step Consider the formula
Pd=W⋅sin(αi-Φ)sin(θe-(αi-Φ))
Next Step Substitute values of Variables
∴ Pd=120N⋅sin(23°-2°)sin(85°-(23°-2°))
Next Step Convert Units
∴ Pd=120N⋅sin(0.4014rad-0.0349rad)sin(1.4835rad-(0.4014rad-0.0349rad))
Next Step Prepare to Evaluate
∴ Pd=120⋅sin(0.4014-0.0349)sin(1.4835-(0.4014-0.0349))
Next Step Evaluate
∴Pd=47.8465051281822N
LAST Step Rounding Answer
∴Pd=47.8465N

Effort Applied to Move Body Downward on Inclined Plane Considering Friction Formula Elements

Variables
Functions
Effort to Move Downwards Considering Friction
Effort to Move Downwards Considering Friction is the force applied in a given direction to cause the body to slide with uniform velocity parallel to the plane.
Symbol: Pd
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Effort to Move Downwards Considering FrictionOpen Variable
Weight of Body
Weight of Body is the force acting on the object due to gravity.
Symbol: W
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Weight of BodyOpen Variable
Angle of Inclination of Plane to Horizontal
Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another measured in degrees or radians.
Symbol: αi
Measurement: AngleUnit: °
Note: Value should be less than 90.
Formulas to find Angle of Inclination of Plane to HorizontalOpen Variable
Limiting Angle of Friction
The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).
Symbol: Φ
Measurement: AngleUnit: °
Note: Value should be less than 90.
Formulas to find Limiting Angle of FrictionOpen Variable
Angle of Effort
Angle of Effort is the angle which the line of action of effort makes with the weight of the body W.
Symbol: θe
Measurement: AngleUnit: °
Note: Value should be less than 90.
Formulas to find Angle of EffortOpen Variable
sin
Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
Syntax: sin(Angle)

Other Formulas to find Effort to Move Downwards Considering Friction

​Go Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction
Pd=W⋅(sin(αi)-μ⋅cos(αi))
​Go Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction
Pd=W⋅tan(αi-Φ)

Other formulas in Angle Friction category

​Go Angle of Repose
αr=atan(FlimRn)
​Go Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping
μ=tan(θi)3
​Go Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Downward
η=tan(αi-Φ)tan(αi)
​Go Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Upward
η=tan(αi)tan(αi+Φ)

How to Evaluate Effort Applied to Move Body Downward on Inclined Plane Considering Friction?

Effort Applied to Move Body Downward on Inclined Plane Considering Friction evaluator uses Effort to Move Downwards Considering Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction))/sin(Angle of Effort-(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)) to evaluate the Effort to Move Downwards Considering Friction, Effort Applied to Move Body Downward on Inclined Plane Considering Friction formula is defined as the force required to move an object down an inclined plane, taking into account the effects of friction, which opposes the motion and depends on the angle of inclination and the coefficient of friction. Effort to Move Downwards Considering Friction is denoted by Pd symbol.

How to evaluate Effort Applied to Move Body Downward on Inclined Plane Considering Friction using this online evaluator? To use this online evaluator for Effort Applied to Move Body Downward on Inclined Plane Considering Friction, enter Weight of Body (W), Angle of Inclination of Plane to Horizontal (αi), Limiting Angle of Friction (Φ) & Angle of Effort (θe) and hit the calculate button.

FAQs on Effort Applied to Move Body Downward on Inclined Plane Considering Friction

What is the formula to find Effort Applied to Move Body Downward on Inclined Plane Considering Friction?
The formula of Effort Applied to Move Body Downward on Inclined Plane Considering Friction is expressed as Effort to Move Downwards Considering Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction))/sin(Angle of Effort-(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)). Here is an example- 47.84651 = (120*sin(0.40142572795862-0.03490658503988))/sin(1.4835298641949-(0.40142572795862-0.03490658503988)).
How to calculate Effort Applied to Move Body Downward on Inclined Plane Considering Friction?
With Weight of Body (W), Angle of Inclination of Plane to Horizontal (αi), Limiting Angle of Friction (Φ) & Angle of Effort (θe) we can find Effort Applied to Move Body Downward on Inclined Plane Considering Friction using the formula - Effort to Move Downwards Considering Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction))/sin(Angle of Effort-(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)). This formula also uses Sine (sin) function(s).
What are the other ways to Calculate Effort to Move Downwards Considering Friction?
Here are the different ways to Calculate Effort to Move Downwards Considering Friction-
  • Effort to Move Downwards Considering Friction=Weight of Body*(sin(Angle of Inclination of Plane to Horizontal)-Coefficient of Friction*cos(Angle of Inclination of Plane to Horizontal))OpenImg
  • Effort to Move Downwards Considering Friction=Weight of Body*tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)OpenImg
Can the Effort Applied to Move Body Downward on Inclined Plane Considering Friction be negative?
No, the Effort Applied to Move Body Downward on Inclined Plane Considering Friction, measured in Force cannot be negative.
Which unit is used to measure Effort Applied to Move Body Downward on Inclined Plane Considering Friction?
Effort Applied to Move Body Downward on Inclined Plane Considering Friction is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Effort Applied to Move Body Downward on Inclined Plane Considering Friction can be measured.
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