Tension in String if only One Body is Freely Suspended 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 freely Suspended String is the force exerted by the string on the hanging object, opposing its weight, and keeping it in equilibrium.ⓘ Tension in String if only One Body is Freely Suspended [T_fs]

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Tension in String if only One Body is Freely Suspended

Formula

T fs = \frac{m 1 \cdot m 2}{m 1 + m 2} \cdot [g]

Example

90.42783 N = \frac{29 kg \cdot 13.52 kg}{29 kg + 13.52 kg} \cdot [g]

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Tension in String if only One Body is Freely Suspended Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tension in Freely Suspended String = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]
T_fs = (m₁*m₂)/(m₁+m₂)*[g]
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Tension in Freely Suspended String - (Measured in Newton) - Tension in freely Suspended String is the force exerted by the string on the hanging object, opposing its weight, and keeping it in equilibrium.
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

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_fs = (m₁*m₂)/(m₁+m₂)*[g] --> (29*13.52)/(29+13.52)*[g]

Evaluating ... ...

T_fs = 90.4278300094073

STEP 3: Convert Result to Output's Unit

90.4278300094073 Newton --> No Conversion Required

FINAL ANSWER

90.4278300094073 ≈ 90.42783 Newton <-- Tension in Freely Suspended String

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

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

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Indian Institute of Technology (IIT), Bombay

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< Body Lying on Smooth Horizontal Plane Calculators

Tension in String if only One Body is Freely Suspended

Go Tension in Freely Suspended String = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]

Acceleration in System

Go Acceleration of System = Mass of Left Body/(Mass of Left Body+Mass of Right Body)*[g]

Tension in String if only One Body is Freely Suspended Formula

Tension in Freely Suspended String = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]
T_fs = (m₁*m₂)/(m₁+m₂)*[g]

Is Tension and Weight the same?

The pulling force that acts along a stretched flexible connector, such as a rope or cable, is called tension. When a rope supports the weight of an object that is at rest, the tension in the rope is equal to the weight of the object.

How to Calculate Tension in String if only One Body is Freely Suspended?

Tension in String if only One Body is Freely Suspended calculator uses Tension in Freely Suspended String = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g] to calculate the Tension in Freely Suspended String, Tension in String if only One Body is Freely Suspended formula is defined as a measure of the force exerted by a string on an object when one body is freely suspended, providing a way to quantify the string's force in relation to the masses of the objects involved. Tension in Freely Suspended String is denoted by T_fs symbol.

How to calculate Tension in String if only One Body is Freely Suspended using this online calculator? To use this online calculator for Tension in String if only One Body is Freely Suspended, enter Mass of Left Body (m₁) & Mass of Right Body (m₂) and hit the calculate button. Here is how the Tension in String if only One Body is Freely Suspended calculation can be explained with given input values -> 90.42783 = (29*13.52)/(29+13.52)*[g].

FAQ

What is Tension in String if only One Body is Freely Suspended?

Tension in String if only One Body is Freely Suspended formula is defined as a measure of the force exerted by a string on an object when one body is freely suspended, providing a way to quantify the string's force in relation to the masses of the objects involved and is represented as T_fs = (m₁*m₂)/(m₁+m₂)*[g] or Tension in Freely Suspended String = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]. 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 if only One Body is Freely Suspended?

Tension in String if only One Body is Freely Suspended formula is defined as a measure of the force exerted by a string on an object when one body is freely suspended, providing a way to quantify the string's force in relation to the masses of the objects involved is calculated using Tension in Freely Suspended String = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]. To calculate Tension in String if only One Body is Freely Suspended, you need Mass of Left Body (m₁) & Mass of Right Body (m₂). With our tool, you need to enter the respective value for 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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