Tension in String given Coefficient of Friction of Horizontal Plane Calculator

✖Coefficient of Friction for Horizontal Plane is the ratio of the frictional force to the normal force between two surfaces in a horizontal plane motion.ⓘ Coefficient of Friction for Horizontal Plane [μ_hor]			+10% -10%
✖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 given Coefficient of Friction of Horizontal Plane [T_st]

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Tension in String given Coefficient of Friction of Horizontal Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tension in String = (1+Coefficient of Friction for Horizontal Plane)*(Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]
T_st = (1+μ_hor)*(m₁*m₂)/(m₁+m₂)*[g]
This formula uses 1 Constants, 4 Variables

Constants Used

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

Variables Used

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.
Coefficient of Friction for Horizontal Plane - Coefficient of Friction for Horizontal Plane is the ratio of the frictional force to the normal force between two surfaces in a horizontal plane motion.
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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction for Horizontal Plane: 0.438 --> No Conversion Required
Mass of Left Body: 29 Kilogram --> 29 Kilogram No Conversion Required
Mass of Right Body: 13.52 Kilogram --> 13.52 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_st = (1+μ_hor)*(m₁*m₂)/(m₁+m₂)*[g] --> (1+0.438)*(29*13.52)/(29+13.52)*[g]

Evaluating ... ...

T_st = 130.035219553528

STEP 3: Convert Result to Output's Unit

130.035219553528 Newton --> No Conversion Required

FINAL ANSWER

130.035219553528 ≈ 130.0352 Newton <-- Tension in String

(Calculation completed in 00.020 seconds)

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< Body Lying on Rough Horizontal Plane Calculators

Tension in String given Coefficient of Friction of Horizontal Plane

LaTeX Go Tension in String = (1+Coefficient of Friction for Horizontal Plane)*(Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]

Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane

LaTeX Go Acceleration of Body = (Mass of Left Body-Coefficient of Friction for Hanging String*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]

Tension in String given Coefficient of Friction of Horizontal Plane Formula

LaTeX Go

Tension in String = (1+Coefficient of Friction for Horizontal Plane)*(Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]
T_st = (1+μ_hor)*(m₁*m₂)/(m₁+m₂)*[g]

What are the two Coefficients of Friction?

There is essentially two kinds of coefficients; static and kinetic. The static coefficient of friction is the coefficient of friction that applies to objects that are motionless. The kinetic or sliding coefficient of friction is the coefficient of friction that applies to objects that are in motion.

How to Calculate Tension in String given Coefficient of Friction of Horizontal Plane?

Tension in String given Coefficient of Friction of Horizontal Plane calculator uses Tension in String = (1+Coefficient of Friction for Horizontal Plane)*(Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g] to calculate the Tension in String, Tension in String given Coefficient of Friction of Horizontal Plane formula is defined as the measure of the force exerted by a string on an object, taking into account the coefficient of friction of the horizontal plane, and the masses of the objects attached to the string, providing a crucial parameter in understanding the dynamics of frictional forces. Tension in String is denoted by T_st symbol.

How to calculate Tension in String given Coefficient of Friction of Horizontal Plane using this online calculator? To use this online calculator for Tension in String given Coefficient of Friction of Horizontal Plane, enter Coefficient of Friction for Horizontal Plane (μ_hor), Mass of Left Body (m₁) & Mass of Right Body (m₂) and hit the calculate button. Here is how the Tension in String given Coefficient of Friction of Horizontal Plane calculation can be explained with given input values -> 130.0352 = (1+0.438)*(29*13.52)/(29+13.52)*[g].

FAQ

What is Tension in String given Coefficient of Friction of Horizontal Plane?

Tension in String given Coefficient of Friction of Horizontal Plane formula is defined as the measure of the force exerted by a string on an object, taking into account the coefficient of friction of the horizontal plane, and the masses of the objects attached to the string, providing a crucial parameter in understanding the dynamics of frictional forces and is represented as T_st = (1+μ_hor)*(m₁*m₂)/(m₁+m₂)*[g] or Tension in String = (1+Coefficient of Friction for Horizontal Plane)*(Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]. Coefficient of Friction for Horizontal Plane is the ratio of the frictional force to the normal force between two surfaces in a horizontal plane motion, 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.

How to calculate Tension in String given Coefficient of Friction of Horizontal Plane?

Tension in String given Coefficient of Friction of Horizontal Plane formula is defined as the measure of the force exerted by a string on an object, taking into account the coefficient of friction of the horizontal plane, and the masses of the objects attached to the string, providing a crucial parameter in understanding the dynamics of frictional forces is calculated using Tension in String = (1+Coefficient of Friction for Horizontal Plane)*(Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]. To calculate Tension in String given Coefficient of Friction of Horizontal Plane, you need Coefficient of Friction for Horizontal Plane (μ_hor), Mass of Left Body (m₁) & Mass of Right Body (m₂). With our tool, you need to enter the respective value for Coefficient of Friction for Horizontal Plane, Mass of Left Body & Mass of Right Body and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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