Minimum Force Required to Slide Body on Rough Horizontal Plane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Minimum Effort = Weight of Body*sin(Angle of Effort)
Pmin = W*sin(θe)
This formula uses 1 Functions, 3 Variables
Functions Used
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., sin(Angle)
Variables Used
Minimum Effort - (Measured in Newton) - Minimum Effort is the minimum force required to slide a body on a rough horizontal plane.
Weight of Body - (Measured in Newton) - Weight of Body is the force acting on the object due to gravity.
Angle of Effort - (Measured in Radian) - Angle of Effort is the angle which the line of action of effort makes with the weight of the body W.
STEP 1: Convert Input(s) to Base Unit
Weight of Body: 120 Newton --> 120 Newton No Conversion Required
Angle of Effort: 85 Degree --> 1.4835298641949 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pmin = W*sin(θe) --> 120*sin(1.4835298641949)
Evaluating ... ...
Pmin = 119.543363771007
STEP 3: Convert Result to Output's Unit
119.543363771007 Newton --> No Conversion Required
FINAL ANSWER
119.543363771007 119.5434 Newton <-- Minimum Effort
(Calculation completed in 00.020 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
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21 Angle Friction Calculators

Effort Applied to Move Body Downward on Inclined Plane Considering Friction
Go 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))
Effort Applied to Move Body Upward on Inclined Plane Considering Friction
Go Effort to Move Upwards 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))
Efficiency of Inclined Plane when Effort Applied to Move Body Downward
Go Efficiency of Inclined Plane = (cot(Angle of Inclination of Plane to Horizontal)-cot(Angle of Effort))/(cot(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)-cot(Angle of Effort))
Efficiency of Inclined Plane when Effort Applied to Move Body Upward
Go Efficiency of Inclined Plane = (cot(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)-cot(Angle of Effort))/(cot(Angle of Inclination of Plane to Horizontal)-cot(Angle of Effort))
Efficiency of Inclined Plane when Effort Applied Parallel to Move Body Downward
Go Efficiency of Inclined Plane = sin(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)/(sin(Angle of Inclination of Plane to Horizontal)*cos(Limiting Angle of Friction))
Efficiency of Inclined Plane when Effort Applied Parallel to Move Body Upward
Go Efficiency of Inclined Plane = (sin(Angle of Inclination of Plane to Horizontal)*cos(Limiting Angle of Friction))/sin(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)
Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction
Go 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))
Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction
Go Effort to Move Upwards Considering Friction = Weight of Body*(sin(Angle of Inclination of Plane to Horizontal)+Coefficient of Friction*cos(Angle of Inclination of Plane to Horizontal))
Effort Required to Move Body down Plane Neglecting Friction
Go Effort Required to Move Neglecting Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal))/sin(Angle of Effort-Angle of Inclination of Plane to Horizontal)
Effort Required to Move Body up Plane Neglecting Friction
Go Effort Required to Move Neglecting Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal))/sin(Angle of Effort-Angle of Inclination of Plane to Horizontal)
Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Downward
Go Efficiency of Inclined Plane = tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)/tan(Angle of Inclination of Plane to Horizontal)
Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Upward
Go Efficiency of Inclined Plane = tan(Angle of Inclination of Plane to Horizontal)/tan(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)
Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction
Go Effort to Move Downwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)
Effort Applied Perpendicular to Inclined Plane to Move Body Upward Considering Friction
Go Effort to Move Upwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)
Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping
Go Force of Friction = (Mass of Cylinder*Acceleration due to Gravity*sin(Angle of Inclination))/3
Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction
Go Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal)
Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction
Go Effort Required to Move Neglecting Friction = Weight of Body*sin(Angle of Inclination of Plane to Horizontal)
Limiting Angle of Friction
Go Limiting Angle of Friction = atan(Limit Force/Normal Reaction)
Angle of Repose
Go Angle of Repose = atan(Limiting Force/Normal Reaction)
Minimum Force Required to Slide Body on Rough Horizontal Plane
Go Minimum Effort = Weight of Body*sin(Angle of Effort)
Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping
Go Coefficient of Friction = (tan(Angle of Inclination))/3

Minimum Force Required to Slide Body on Rough Horizontal Plane Formula

Minimum Effort = Weight of Body*sin(Angle of Effort)
Pmin = W*sin(θe)

Does speed affect friction?

Ideally, the coefficient of kinetic friction only depends on the nature of the surfaces. It does not depend on any other factors, including the relative speed of the surfaces and the surface area of contact. You will determine µ. You investigate the force of friction by studying objects moving at a constant speed.

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

Minimum Force Required to Slide Body on Rough Horizontal Plane calculator uses Minimum Effort = Weight of Body*sin(Angle of Effort) to calculate the Minimum Effort, The minimum force required to slide body on rough horizontal plane is the force if its inclination with horizontal is equal to the angle of friction. Minimum Effort is denoted by Pmin symbol.

How to calculate Minimum Force Required to Slide Body on Rough Horizontal Plane using this online calculator? To use this online calculator for Minimum Force Required to Slide Body on Rough Horizontal Plane, enter Weight of Body (W) & Angle of Effort e) and hit the calculate button. Here is how the Minimum Force Required to Slide Body on Rough Horizontal Plane calculation can be explained with given input values -> 119.5434 = 120*sin(1.4835298641949).

FAQ

What is Minimum Force Required to Slide Body on Rough Horizontal Plane?
The minimum force required to slide body on rough horizontal plane is the force if its inclination with horizontal is equal to the angle of friction and is represented as Pmin = W*sin(θe) or Minimum Effort = Weight of Body*sin(Angle of Effort). Weight of Body is the force acting on the object due to gravity & Angle of Effort is the angle which the line of action of effort makes with the weight of the body W.
How to calculate Minimum Force Required to Slide Body on Rough Horizontal Plane?
The minimum force required to slide body on rough horizontal plane is the force if its inclination with horizontal is equal to the angle of friction is calculated using Minimum Effort = Weight of Body*sin(Angle of Effort). To calculate Minimum Force Required to Slide Body on Rough Horizontal Plane, you need Weight of Body (W) & Angle of Effort e). With our tool, you need to enter the respective value for Weight of Body & Angle of Effort and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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