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)
μhs = (m1+m2)/(m1*m1*[g])*Tst*sec(θb)-tan(θb)-sec(θb)
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 ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Mass of Left Body - (Measured in Kilogram) - Mass of Left Body is the measure of the quantity of matter that a body or an object contains.
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.
Tension in String - (Measured in Newton) - Tension in String is described as the pulling force transmitted axially by the means of a string.
Inclination of body - (Measured in Radian) - Inclination of body is the angle a tilted ramp makes with the flat surface.
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
μhs = (m1+m2)/(m1*m1*[g])*Tst*sec(θb)-tan(θb)-sec(θb) --> (29+13.52)/(29*29*[g])*130*sec(5.71595330028035)-tan(5.71595330028035)-sec(5.71595330028035)
Evaluating ... ...
μhs = 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)

Credits

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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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))
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))
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]))
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 Tension Formula

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)
μhs = (m1+m2)/(m1*m1*[g])*Tst*sec(θb)-tan(θb)-sec(θb)

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, The Coefficient of friction given tension in the string is the function of masses of both bodies, angle of inclination of plane and coefficient of friction between surfaces. Coefficient of Friction for Hanging String is denoted by μhs 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 (Tst) & Inclination of body b) and hit the calculate button. Here is how the Coefficient of Friction given Tension calculation can be explained with given input values -> 0.815333 = (29+13.52)/(29*29*[g])*130*sec(5.71595330028035)-tan(5.71595330028035)-sec(5.71595330028035).

FAQ

What is Coefficient of Friction given Tension?
The Coefficient of friction given tension in the string is the function of masses of both bodies, angle of inclination of plane and coefficient of friction between surfaces and is represented as μhs = (m1+m2)/(m1*m1*[g])*Tst*sec(θb)-tan(θb)-sec(θb) 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 measure of the quantity of matter that a body or an object contains, Mass of Right Body is the measure of the quantity of matter that a body or an object contains, Tension in String is described as the pulling force transmitted axially by the means of a string & Inclination of body is the angle a tilted ramp makes with the flat surface.
How to calculate Coefficient of Friction given Tension?
The Coefficient of friction given tension in the string is the function of masses of both bodies, angle of inclination of plane and coefficient of friction between surfaces 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 (Tst) & Inclination of body 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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