Coefficient of Friction given Frictional Force Calculator

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Types of Motion

Engineering Mechanics

Friction

General Principal to Dynamics

Properties of Planes and Solids

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Motion in Bodies Hanging by String

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Body Lying on Rough Inclined Plane

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✖Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.ⓘ Force of Friction [F_fri]			+10% -10%
✖Mass of Right Body is the measure of the quantity of matter that a body or an object contains.ⓘ Mass of Right Body [m₂]			+10% -10%
✖The inclination of Plane is the angle a tilted ramp makes with the flat surface.ⓘ Inclination of Plane [θ_p]			+10% -10%

✖Coefficient of Friction for Hanging String is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction given Frictional Force [μ_hs]

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Formula

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Coefficient of Friction given Frictional Force

Formula

`"μ"_{"hs"} = "F"_{"fri"}/("m"_{"2"}*"[g]"*cos("θ"_{"p"}))`

Example

`"0.240108"="30.99N"/("13.52kg"*"[g]"*cos("13.23°"))`

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Coefficient of Friction given Frictional Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Coefficient of Friction for Hanging String - Coefficient of Friction for Hanging String is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Force of Friction - (Measured in Newton) - Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.
Mass of Right Body - (Measured in Kilogram) - Mass of Right Body is the measure of the quantity of matter that a body or an object contains.
Inclination of Plane - (Measured in Radian) - The inclination of Plane is the angle a tilted ramp makes with the flat surface.

STEP 1: Convert Input(s) to Base Unit

Force of Friction: 30.99 Newton --> 30.99 Newton 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

μ_hs = F_fri/(m₂*[g]*cos(θ_p)) --> 30.99/(13.52*[g]*cos(0.230907060038806))

Evaluating ... ...

μ_hs = 0.240107901895963

STEP 3: Convert Result to Output's Unit

0.240107901895963 --> No Conversion Required

FINAL ANSWER

0.240107901895963 ≈ 0.240108 <-- Coefficient of Friction for Hanging String

(Calculation completed in 00.013 seconds)

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

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< 7 Body Lying on Rough Inclined Plane Calculators

Coefficient of Friction given Tension

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

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

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))

Inclination of Plane for given Frictional Force

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

Coefficient of Friction given Frictional Force

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

Mass of Body B given Frictional Force

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

Frictional Force

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

Coefficient of Friction given Frictional Force Formula

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

Are there Different Types of Frictional Force?

Yes, there are different types of frictional forces. The friction that takes place between solid surfaces is classified as Static, Kinetic, Rolling, and Sliding Friction.

How to Calculate Coefficient of Friction given Frictional Force?

Coefficient of Friction given Frictional Force calculator uses Coefficient of Friction for Hanging String = Force of Friction/(Mass of Right Body*[g]*cos(Inclination of Plane)) to calculate the Coefficient of Friction for Hanging String, The Coefficient of friction given frictional force acting on body B is the function of the mass of body B and the angle of inclination of the plane. Coefficient of Friction for Hanging String is denoted by μ_hs symbol.

How to calculate Coefficient of Friction given Frictional Force using this online calculator? To use this online calculator for Coefficient of Friction given Frictional Force, enter Force of Friction (F_fri), Mass of Right Body (m₂) & Inclination of Plane (θ_p) and hit the calculate button. Here is how the Coefficient of Friction given Frictional Force calculation can be explained with given input values -> 0.190956 = 30.99/(13.52*[g]*cos(0.230907060038806)).

FAQ

What is Coefficient of Friction given Frictional Force?

The Coefficient of friction given frictional force acting on body B is the function of the mass of body B and the angle of inclination of the plane and is represented as μ_hs = F_fri/(m₂*[g]*cos(θ_p)) or Coefficient of Friction for Hanging String = Force of Friction/(Mass of Right Body*[g]*cos(Inclination of Plane)). Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force, Mass of Right Body is the measure of the quantity of matter that a body or an object contains & The inclination of Plane is the angle a tilted ramp makes with the flat surface.

How to calculate Coefficient of Friction given Frictional Force?

The Coefficient of friction given frictional force acting on body B is the function of the mass of body B and the angle of inclination of the plane is calculated using Coefficient of Friction for Hanging String = Force of Friction/(Mass of Right Body*[g]*cos(Inclination of Plane)). To calculate Coefficient of Friction given Frictional Force, you need Force of Friction (F_fri), Mass of Right Body (m₂) & Inclination of Plane (θ_p). With our tool, you need to enter the respective value for Force of Friction, 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.

How many ways are there to calculate Coefficient of Friction for Hanging String?

In this formula, Coefficient of Friction for Hanging String uses Force of Friction, Mass of Right Body & Inclination of Plane. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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