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Tension in String given Coefficient of Friction of Horizontal Plane Formula

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Tension in String is the force exerted by the string on the hanging object, opposing its weight and keeping it suspended in the air. Check FAQs

T st = (1 + μ hor) \cdot \frac{m 1 \cdot m 2}{m 1 + m 2} \cdot [g]

T_st - Tension in String?μ_hor - Coefficient of Friction for Horizontal Plane?m₁ - Mass of Left Body?m₂ - Mass of Right Body?[g] - Gravitational acceleration on Earth?

Tension in String given Coefficient of Friction of Horizontal Plane Example

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Here is how the Tension in String given Coefficient of Friction of Horizontal Plane equation looks like with Values.

Here is how the Tension in String given Coefficient of Friction of Horizontal Plane equation looks like with Units.

Here is how the Tension in String given Coefficient of Friction of Horizontal Plane equation looks like.

130.0352 = (1 + 0.438) \cdot \frac{29 \cdot 13.52}{29 + 13.52} \cdot 9.8066

130.0352N = (1 + 0.438) \cdot \frac{29kg \cdot 13.52kg}{29kg + 13.52kg} \cdot 9.8066m/s²

130.0352 = (1 + 0.438) \cdot \frac{29 \cdot 13.52}{29 + 13.52} \cdot 9.8066

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Tension in String given Coefficient of Friction of Horizontal Plane Solution

Follow our step by step solution on how to calculate Tension in String given Coefficient of Friction of Horizontal Plane?

FIRST Step Consider the formula

T st = (1 + μ hor) \cdot \frac{m 1 \cdot m 2}{m 1 + m 2} \cdot [g]

Next Step Substitute values of Variables

∴

T st = (1 + 0.438) \cdot \frac{29kg \cdot 13.52kg}{29kg + 13.52kg} \cdot [g]

Next Step Substitute values of Constants

∴

T st = (1 + 0.438) \cdot \frac{29kg \cdot 13.52kg}{29kg + 13.52kg} \cdot 9.8066m/s²

Next Step Prepare to Evaluate

∴

T st = (1 + 0.438) \cdot \frac{29 \cdot 13.52}{29 + 13.52} \cdot 9.8066

Next Step Evaluate

∴

T st = 130.035219553528N

LAST Step Rounding Answer

∴

T st = 130.0352N

Tension in String given Coefficient of Friction of Horizontal Plane Formula Elements

Variables

Constants

Tension in String

Tension in String is the force exerted by the string on the hanging object, opposing its weight and keeping it suspended in the air.

Symbol: T_st

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Tension in String

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.

Symbol: μ_hor

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction for Horizontal Plane

Mass of Left Body

Mass of Left Body is the amount of matter in an object hanging from a string, which affects the motion of the system.

Symbol: m₁

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Left Body

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.

Formulas to find Mass of Right Body

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

Other formulas in Body Lying on Rough Horizontal Plane category

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

a s = \frac{m 1 - μ hs \cdot m 2}{m 1 + m 2} \cdot [g]

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

Tension in String given Coefficient of Friction of Horizontal Plane evaluator 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 evaluate 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 evaluate Tension in String given Coefficient of Friction of Horizontal Plane using this online evaluator? To use this online evaluator 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.

FAQs on Tension in String given Coefficient of Friction of Horizontal Plane

What is the formula to find Tension in String given Coefficient of Friction of Horizontal Plane?

The formula of Tension in String given Coefficient of Friction of Horizontal Plane is expressed as 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]. Here is an example- 130.0352 = (1+0.438)*(29*13.52)/(29+13.52)*[g].

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

With Coefficient of Friction for Horizontal Plane (μ_hor), Mass of Left Body (m₁) & Mass of Right Body (m₂) we can find Tension in String given Coefficient of Friction of Horizontal Plane using the formula - 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]. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Tension in String given Coefficient of Friction of Horizontal Plane be negative?

Yes, the Tension in String given Coefficient of Friction of Horizontal Plane, measured in Force can be negative.

Which unit is used to measure Tension in String given Coefficient of Friction of Horizontal Plane?

Tension in String given Coefficient of Friction of Horizontal Plane is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Tension in String given Coefficient of Friction of Horizontal Plane can be measured.

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