Coefficient of Friction given Frictional Force Calculator

✖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.ⓘ Force of Friction [F_fri]			+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%

✖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 given Frictional Force [μ_hs]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Motion in Bodies Hanging by String Formulas PDF PDF Image

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 measure of the frictional force that opposes the motion of a body hanging by a string.
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.
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

Force of Friction: 30.97607 Newton --> 30.97607 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)) --> 30.97607/(13.52*[g]*cos(0.230907060038806))

Evaluating ... ...

μ_hs = 0.2399999734328

STEP 3: Convert Result to Output's Unit

0.2399999734328 --> No Conversion Required

FINAL ANSWER

0.2399999734328 ≈ 0.24 <-- Coefficient of Friction for Hanging String

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

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

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< 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)

Coefficient of Friction given Frictional Force Formula

LaTeX Go

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, Coefficient of Friction given Frictional Force formula is defined as a dimensionless value that quantifies the ratio of frictional force to normal force between two surfaces in contact, taking into account the angle of inclination and gravitational acceleration, providing a measure of the frictional resistance to motion. 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 -> 0.24 = 30.97607/(13.52*[g]*cos(0.230907060038806)).

FAQ

What is Coefficient of Friction given Frictional Force?

Coefficient of Friction given Frictional Force formula is defined as a dimensionless value that quantifies the ratio of frictional force to normal force between two surfaces in contact, taking into account the angle of inclination and gravitational acceleration, providing a measure of the frictional resistance to motion 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 is the force that opposes motion between two surfaces in contact, acting along the surface, when a body hangs 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 Coefficient of Friction given Frictional Force?

Coefficient of Friction given Frictional Force formula is defined as a dimensionless value that quantifies the ratio of frictional force to normal force between two surfaces in contact, taking into account the angle of inclination and gravitational acceleration, providing a measure of the frictional resistance to motion 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)

Home

FREE PDFs

🔍 Search