Coefficient of Friction given Tension Calculator

✖Mass of Left Body is the amount of matter in an object hanging from a string, which affects the motion of the system.ⓘ Mass of Left Body [m₁]			+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%
✖Tension in String is the force exerted by the string on the hanging object, opposing its weight and keeping it suspended in the air.ⓘ Tension in String [T_st]			+10% -10%
✖Inclination of body is the angle at which a body hangs from a string, measured from the vertical, affecting its motion and oscillations.ⓘ Inclination of body [θ_b]			+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 Tension [μ_hs]

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Coefficient of Friction given Tension Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
μ_hs = (m₁+m₂)/(m₁*m₁*[g])*T_st*sec(θ_b)-tan(θ_b)-sec(θ_b)
This formula uses 1 Constants, 2 Functions, 5 Variables

Constants Used

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

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(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.
Mass of Left Body - (Measured in Kilogram) - Mass of Left Body is the amount of matter in an object hanging from a string, which affects the motion of the system.
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.
Tension in String - (Measured in Newton) - Tension in String is the force exerted by the string on the hanging object, opposing its weight and keeping it suspended in the air.
Inclination of body - (Measured in Radian) - Inclination of body is the angle at which a body hangs from a string, measured from the vertical, affecting its motion and oscillations.

STEP 1: Convert Input(s) to Base Unit

Mass of Left Body: 29 Kilogram --> 29 Kilogram No Conversion Required
Mass of Right Body: 13.52 Kilogram --> 13.52 Kilogram No Conversion Required
Tension in String: 130 Newton --> 130 Newton No Conversion Required
Inclination of body: 327.5 Degree --> 5.71595330028035 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_hs = (m₁+m₂)/(m₁*m₁*[g])*T_st*sec(θ_b)-tan(θ_b)-sec(θ_b) --> (29+13.52)/(29*29*[g])*130*sec(5.71595330028035)-tan(5.71595330028035)-sec(5.71595330028035)

Evaluating ... ...

μ_hs = 0.24605839884811

STEP 3: Convert Result to Output's Unit

0.24605839884811 --> No Conversion Required

FINAL ANSWER

0.24605839884811 ≈ 0.246058 <-- Coefficient of Friction for Hanging String

(Calculation completed in 00.004 seconds)

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

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Created by Vinay Mishra

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

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Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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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)

Coefficient of Friction given Tension Formula

LaTeX Go

What does a Low Coefficient of Friction mean?

A low value of the coefficient of friction indicates that the force required for sliding to occur is less than the force required when the coefficient of friction is high.

How to Calculate Coefficient of Friction given Tension?

Coefficient of Friction given Tension calculator uses 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) to calculate the Coefficient of Friction for Hanging String, Coefficient of Friction given Tension formula is defined as a measure of the ratio of the frictional force between two surfaces in contact to the normal force pressing them together, characterizing the frictional properties of the surfaces in a specific situation. Coefficient of Friction for Hanging String is denoted by μ_hs symbol.

How to calculate Coefficient of Friction given Tension using this online calculator? To use this online calculator for Coefficient of Friction given Tension, enter Mass of Left Body (m₁), Mass of Right Body (m₂), Tension in String (T_st) & Inclination of body (θ_b) and hit the calculate button. Here is how the Coefficient of Friction given Tension calculation can be explained with given input values -> 0.246058 = (29+13.52)/(29*29*[g])*130*sec(5.71595330028035)-tan(5.71595330028035)-sec(5.71595330028035).

FAQ

What is Coefficient of Friction given Tension?

Coefficient of Friction given Tension formula is defined as a measure of the ratio of the frictional force between two surfaces in contact to the normal force pressing them together, characterizing the frictional properties of the surfaces in a specific situation and is represented as μ_hs = (m₁+m₂)/(m₁*m₁*[g])*T_st*sec(θ_b)-tan(θ_b)-sec(θ_b) or 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). Mass of Left Body is the amount of matter in an object hanging from a string, which affects the motion of the system, Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations, Tension in String is the force exerted by the string on the hanging object, opposing its weight and keeping it suspended in the air & Inclination of body is the angle at which a body hangs from a string, measured from the vertical, affecting its motion and oscillations.

How to calculate Coefficient of Friction given Tension?

Coefficient of Friction given Tension formula is defined as a measure of the ratio of the frictional force between two surfaces in contact to the normal force pressing them together, characterizing the frictional properties of the surfaces in a specific situation is calculated using 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). To calculate Coefficient of Friction given Tension, you need Mass of Left Body (m₁), Mass of Right Body (m₂), Tension in String (T_st) & Inclination of body (θ_b). With our tool, you need to enter the respective value for Mass of Left Body, Mass of Right Body, Tension in String & Inclination of body 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 Mass of Left Body, Mass of Right Body, Tension in String & Inclination of body. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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