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Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string. Check FAQs
μhs=Ffrim2[g]cos(θp)
μhs - Coefficient of Friction for Hanging String?Ffri - Force of Friction?m2 - Mass of Right Body?θp - Inclination of Plane?[g] - Gravitational acceleration on Earth?

Coefficient of Friction given Frictional Force Example

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With units
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Here is how the Coefficient of Friction given Frictional Force equation looks like with Values.

Here is how the Coefficient of Friction given Frictional Force equation looks like with Units.

Here is how the Coefficient of Friction given Frictional Force equation looks like.

0.24Edit=30.9761Edit13.52Edit9.8066cos(13.23Edit)
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Coefficient of Friction given Frictional Force Solution

Follow our step by step solution on how to calculate Coefficient of Friction given Frictional Force?

FIRST Step Consider the formula
μhs=Ffrim2[g]cos(θp)
Next Step Substitute values of Variables
μhs=30.9761N13.52kg[g]cos(13.23°)
Next Step Substitute values of Constants
μhs=30.9761N13.52kg9.8066m/s²cos(13.23°)
Next Step Convert Units
μhs=30.9761N13.52kg9.8066m/s²cos(0.2309rad)
Next Step Prepare to Evaluate
μhs=30.976113.529.8066cos(0.2309)
Next Step Evaluate
μhs=0.2399999734328
LAST Step Rounding Answer
μhs=0.24

Coefficient of Friction given Frictional Force Formula Elements

Variables
Constants
Functions
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.
Symbol: μhs
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Force of Friction
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.
Symbol: Ffri
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Mass of Right Body
Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.
Symbol: m2
Measurement: WeightUnit: kg
Note: Value should be greater than 0.
Inclination of Plane
Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.
Symbol: θp
Measurement: AngleUnit: °
Note: Value can be positive or negative.
Gravitational acceleration on Earth
Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.
Symbol: [g]
Value: 9.80665 m/s²
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other Formulas to find Coefficient of Friction for Hanging String

​Go Coefficient of Friction given Tension
μhs=m1+m2m1m1[g]Tstsec(θb)-tan(θb)-sec(θb)

Other formulas in Body Lying on Rough Inclined Plane category

​Go Tension in String given Coefficient of Friction of Inclined Plane
Tst=m1m2m1+m2[g](1+sin(θp)+μhscos(θp))
​Go Acceleration of System with Bodies One Hanging Free, Other Lying on Rough Inclined Plane
ai=m1-m2sin(θp)-μhsm2cos(θp)m1+m2[g]
​Go Frictional Force
Ffri=μhsm2[g]cos(θp)
​Go Mass of Body B given Frictional Force
m2=Ffriμhs[g]cos(θp)

How to Evaluate Coefficient of Friction given Frictional Force?

Coefficient of Friction given Frictional Force evaluator uses Coefficient of Friction for Hanging String = Force of Friction/(Mass of Right Body*[g]*cos(Inclination of Plane)) to evaluate 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 μhs symbol.

How to evaluate Coefficient of Friction given Frictional Force using this online evaluator? To use this online evaluator for Coefficient of Friction given Frictional Force, enter Force of Friction (Ffri), Mass of Right Body (m2) & Inclination of Plane p) and hit the calculate button.

FAQs on Coefficient of Friction given Frictional Force

What is the formula to find Coefficient of Friction given Frictional Force?
The formula of Coefficient of Friction given Frictional Force is expressed as Coefficient of Friction for Hanging String = Force of Friction/(Mass of Right Body*[g]*cos(Inclination of Plane)). Here is an example- 0.24 = 30.97607/(13.52*[g]*cos(0.230907060038806)).
How to calculate Coefficient of Friction given Frictional Force?
With Force of Friction (Ffri), Mass of Right Body (m2) & Inclination of Plane p) we can find Coefficient of Friction given Frictional Force using the formula - Coefficient of Friction for Hanging String = Force of Friction/(Mass of Right Body*[g]*cos(Inclination of Plane)). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).
What are the other ways to Calculate Coefficient of Friction for Hanging String?
Here are the different ways to Calculate Coefficient of Friction for Hanging String-
  • 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)OpenImg
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