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Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction Formula

GoEffort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction Formula

GoEffort Applied to Move Body Downward on Inclined Plane Considering Friction Formula

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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

P d = W \cdot (\sin (α i) - μ \cdot \cos (α i))

P_d - Effort to Move Downwards Considering Friction?W - Weight of Body?α_i - Angle of Inclination of Plane to Horizontal?μ - Coefficient of Friction?

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

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

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

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

10.0676 = 120 \cdot (\sin (23) - 0.3333 \cdot \cos (23))

10.0676N = 120N \cdot (\sin (23°) - 0.3333 \cdot \cos (23°))

10.0676 = 120 \cdot (\sin (23) - 0.3333 \cdot \cos (23))

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Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction Solution

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

FIRST Step Consider the formula

P d = W \cdot (\sin (α i) - μ \cdot \cos (α i))

Next Step Substitute values of Variables

∴

P d = 120N \cdot (\sin (23°) - 0.3333 \cdot \cos (23°))

Next Step Convert Units

∴

P d = 120N \cdot (\sin (0.4014rad) - 0.3333 \cdot \cos (0.4014rad))

Next Step Prepare to Evaluate

∴

P d = 120 \cdot (\sin (0.4014) - 0.3333 \cdot \cos (0.4014))

Next Step Evaluate

∴

P d = 10.0675781007998N

LAST Step Rounding Answer

∴

P d = 10.0676N

Effort Applied Parallel to Inclined Plane to Move Body Downward 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: P_d

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Effort to Move Downwards Considering Friction

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 Body

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: α_i

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Angle of Inclination of Plane to Horizontal

Coefficient of Friction

The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Coefficient of Friction

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)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Effort to Move Downwards Considering Friction

Go Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction

P d = W \cdot \tan (α i - Φ)

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

P d = \frac{W \cdot \sin (α i - Φ)}{\sin (θ e - (α i - Φ))}

Other formulas in Angle Friction category

Go Angle of Repose

α r = a \tan (\frac{F lim}{R n})

Go Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping

μ = \frac{\tan (θ i)}{3}

Go Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Downward

η = \frac{\tan (α i - Φ)}{\tan (α i)}

Go Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Upward

η = \frac{\tan (α i)}{\tan (α i + Φ)}

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

Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction evaluator uses 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)) to evaluate the Effort to Move Downwards Considering Friction, Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction formula is defined as the force required to move an object down an inclined plane, taking into account the effects of friction and the angle of inclination, providing a measure of the energy expended in overcoming these opposing forces. Effort to Move Downwards Considering Friction is denoted by P_d symbol.

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

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

What is the formula to find Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction?

The formula of Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction is expressed as 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)). Here is an example- 2.703502 = 120*(sin(0.40142572795862)-0.333333*cos(0.40142572795862)).

How to calculate Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction?

With Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i) & Coefficient of Friction (μ) we can find Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction using the formula - 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)). This formula also uses Sine (sin), Cosine (cos) 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*tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)
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))

Can the Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction be negative?

No, the Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction, measured in Force cannot be negative.

Which unit is used to measure Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction?

Effort Applied Parallel to Inclined Plane to Move Body Downward 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 Parallel to Inclined Plane to Move Body Downward Considering Friction can be measured.

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