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Minimum Force Required to Slide Body on Rough Horizontal Plane Formula

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Minimum Effort is the minimum force required to slide a body on a rough horizontal plane. Check FAQs

P min = W \cdot \sin (θ e)

P_min - Minimum Effort?W - Weight of Body?θ_e - Angle of Effort?

Minimum Force Required to Slide Body on Rough Horizontal Plane Example

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Here is how the Minimum Force Required to Slide Body on Rough Horizontal Plane equation looks like with Values.

Here is how the Minimum Force Required to Slide Body on Rough Horizontal Plane equation looks like with Units.

Here is how the Minimum Force Required to Slide Body on Rough Horizontal Plane equation looks like.

119.5434 = 120 \cdot \sin (85)

119.5434N = 120N \cdot \sin (85°)

119.5434 = 120 \cdot \sin (85)

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Minimum Force Required to Slide Body on Rough Horizontal Plane Solution

Follow our step by step solution on how to calculate Minimum Force Required to Slide Body on Rough Horizontal Plane?

FIRST Step Consider the formula

P min = W \cdot \sin (θ e)

Next Step Substitute values of Variables

∴

P min = 120N \cdot \sin (85°)

Next Step Convert Units

∴

P min = 120N \cdot \sin (1.4835rad)

Next Step Prepare to Evaluate

∴

P min = 120 \cdot \sin (1.4835)

Next Step Evaluate

∴

P min = 119.543363771007N

LAST Step Rounding Answer

∴

P min = 119.5434N

Minimum Force Required to Slide Body on Rough Horizontal Plane Formula Elements

Variables

Functions

Minimum Effort

Minimum Effort is the minimum force required to slide a body on a rough horizontal plane.

Symbol: P_min

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Minimum Effort

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 Effort

Angle of Effort is the angle which the line of action of effort makes with the weight of the body W.

Symbol: θ_e

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Angle of Effort

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 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 Minimum Force Required to Slide Body on Rough Horizontal Plane?

Minimum Force Required to Slide Body on Rough Horizontal Plane evaluator uses Minimum Effort = Weight of Body*sin(Angle of Effort) to evaluate the Minimum Effort, Minimum Force Required to Slide Body on Rough Horizontal Plane formula is defined as the least amount of force necessary to initiate sliding motion of an object on a rough horizontal surface, taking into account the weight of the object and the angle of elevation of the plane. Minimum Effort is denoted by P_min symbol.

How to evaluate Minimum Force Required to Slide Body on Rough Horizontal Plane using this online evaluator? To use this online evaluator for Minimum Force Required to Slide Body on Rough Horizontal Plane, enter Weight of Body (W) & Angle of Effort (θ_e) and hit the calculate button.

FAQs on Minimum Force Required to Slide Body on Rough Horizontal Plane

What is the formula to find Minimum Force Required to Slide Body on Rough Horizontal Plane?

The formula of Minimum Force Required to Slide Body on Rough Horizontal Plane is expressed as Minimum Effort = Weight of Body*sin(Angle of Effort). Here is an example- 119.5434 = 120*sin(1.4835298641949).

How to calculate Minimum Force Required to Slide Body on Rough Horizontal Plane?

With Weight of Body (W) & Angle of Effort (θ_e) we can find Minimum Force Required to Slide Body on Rough Horizontal Plane using the formula - Minimum Effort = Weight of Body*sin(Angle of Effort). This formula also uses Sine (sin) function(s).

Can the Minimum Force Required to Slide Body on Rough Horizontal Plane be negative?

Yes, the Minimum Force Required to Slide Body on Rough Horizontal Plane, measured in Force can be negative.

Which unit is used to measure Minimum Force Required to Slide Body on Rough Horizontal Plane?

Minimum Force Required to Slide Body on Rough Horizontal Plane is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Minimum Force Required to Slide Body on Rough Horizontal Plane can be measured.

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