Frictional Force Calculator

✖Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string.ⓘ Coefficient of Friction for Hanging String [μ_hs]			+10% -10%
✖Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.ⓘ Mass of Right Body [m₂]			+10% -10%
✖Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.ⓘ Inclination of Plane [θ_p]			+10% -10%

✖Force of Friction is the force that opposes motion between two surfaces in contact, acting along the surface, when a body hangs by a string.ⓘ Frictional Force [F_fri]

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Frictional Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force of Friction = Coefficient of Friction for Hanging String*Mass of Right Body*[g]*cos(Inclination of Plane)
F_fri = μ_hs*m₂*[g]*cos(θ_p)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Force of Friction - (Measured in Newton) - Force of Friction is the force that opposes motion between two surfaces in contact, acting along the surface, when a body hangs by a string.
Coefficient of Friction for Hanging String - Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string.
Mass of Right Body - (Measured in Kilogram) - Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.
Inclination of Plane - (Measured in Radian) - Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction for Hanging String: 0.24 --> No Conversion Required
Mass of Right Body: 13.52 Kilogram --> 13.52 Kilogram No Conversion Required
Inclination of Plane: 13.23 Degree --> 0.230907060038806 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_fri = μ_hs*m₂*[g]*cos(θ_p) --> 0.24*13.52*[g]*cos(0.230907060038806)

Evaluating ... ...

F_fri = 30.976073428948

STEP 3: Convert Result to Output's Unit

30.976073428948 Newton --> No Conversion Required

FINAL ANSWER

30.976073428948 ≈ 30.97607 Newton <-- Force of Friction

(Calculation completed in 00.006 seconds)

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Home » Physics » Mechanics » Types of Motion » Motion in Bodies Hanging by String » Mechanical » Body Lying on Rough Inclined Plane » Frictional Force

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< Body Lying on Rough Inclined Plane Calculators

Coefficient of Friction given Tension

LaTeX Go Coefficient of Friction for Hanging String = (Mass of Left Body+Mass of Right Body)/(Mass of Left Body*Mass of Left Body*[g])*Tension in String*sec(Inclination of body)-tan(Inclination of body)-sec(Inclination of body)

Acceleration of System with Bodies One Hanging Free, Other Lying on Rough Inclined Plane

LaTeX Go Acceleration of System in Inclined Plane = (Mass of Left Body-Mass of Right Body*sin(Inclination of Plane)-Coefficient of Friction for Hanging String*Mass of Right Body*cos(Inclination of Plane))/(Mass of Left Body+Mass of Right Body)*[g]

Tension in String given Coefficient of Friction of Inclined Plane

LaTeX Go Tension in String = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]*(1+sin(Inclination of Plane)+Coefficient of Friction for Hanging String*cos(Inclination of Plane))

Frictional Force

LaTeX Go Force of Friction = Coefficient of Friction for Hanging String*Mass of Right Body*[g]*cos(Inclination of Plane)

Frictional Force Formula

LaTeX Go

Force of Friction = Coefficient of Friction for Hanging String*Mass of Right Body*[g]*cos(Inclination of Plane)
F_fri = μ_hs*m₂*[g]*cos(θ_p)

What is Frictional Force?

Frictional force refers to the force generated by two surfaces that contacts and slide against each other.

How to Calculate Frictional Force?

Frictional Force calculator uses Force of Friction = Coefficient of Friction for Hanging String*Mass of Right Body*[g]*cos(Inclination of Plane) to calculate the Force of Friction, Frictional Force formula is defined as the measure of the force that opposes motion between two surfaces that are in contact, resulting from the interaction between the surfaces, and is dependent on the normal force, coefficient of friction, and the angle of inclination. Force of Friction is denoted by F_fri symbol.

How to calculate Frictional Force using this online calculator? To use this online calculator for Frictional Force, enter Coefficient of Friction for Hanging String (μ_hs), Mass of Right Body (m₂) & Inclination of Plane (θ_p) and hit the calculate button. Here is how the Frictional Force calculation can be explained with given input values -> 30.97607 = 0.24*13.52*[g]*cos(0.230907060038806).

FAQ

What is Frictional Force?

Frictional Force formula is defined as the measure of the force that opposes motion between two surfaces that are in contact, resulting from the interaction between the surfaces, and is dependent on the normal force, coefficient of friction, and the angle of inclination and is represented as F_fri = μ_hs*m₂*[g]*cos(θ_p) or Force of Friction = Coefficient of Friction for Hanging String*Mass of Right Body*[g]*cos(Inclination of Plane). Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string, Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations & Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.

How to calculate Frictional Force?

Frictional Force formula is defined as the measure of the force that opposes motion between two surfaces that are in contact, resulting from the interaction between the surfaces, and is dependent on the normal force, coefficient of friction, and the angle of inclination is calculated using Force of Friction = Coefficient of Friction for Hanging String*Mass of Right Body*[g]*cos(Inclination of Plane). To calculate Frictional Force, you need Coefficient of Friction for Hanging String (μ_hs), Mass of Right Body (m₂) & Inclination of Plane (θ_p). With our tool, you need to enter the respective value for Coefficient of Friction for Hanging String, Mass of Right Body & Inclination of Plane 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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