Tension in String if Both Bodies are Freely Hanging Calculator

✖Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion.ⓘ Mass of Body A [m_a]			+10% -10%
✖Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.ⓘ Mass of Body B [m_b]			+10% -10%

✖Tension in Hanging String is the force exerted by a string on an object when it is suspended or hung from a fixed point.ⓘ Tension in String if Both Bodies are Freely Hanging [T_h]

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Tension in String if Both Bodies are Freely Hanging Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tension in Hanging String = (2*Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]
T_h = (2*m_a*m_b)/(m_a+m_b)*[g]
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Tension in Hanging String - (Measured in Newton) - Tension in Hanging String is the force exerted by a string on an object when it is suspended or hung from a fixed point.
Mass of Body A - (Measured in Kilogram) - Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion.
Mass of Body B - (Measured in Kilogram) - Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.

STEP 1: Convert Input(s) to Base Unit

Mass of Body A: 29.1 Kilogram --> 29.1 Kilogram No Conversion Required
Mass of Body B: 1.11 Kilogram --> 1.11 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_h = (2*m_a*m_b)/(m_a+m_b)*[g] --> (2*29.1*1.11)/(29.1+1.11)*[g]

Evaluating ... ...

T_h = 20.9708442005958

STEP 3: Convert Result to Output's Unit

20.9708442005958 Newton --> No Conversion Required

FINAL ANSWER

20.9708442005958 ≈ 20.97084 Newton <-- Tension in Hanging String

(Calculation completed in 00.020 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 Passing Over Smooth Pulley Calculators

Tension in String if Both Bodies are Freely Hanging

LaTeX Go Tension in Hanging String = (2*Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]

Acceleration of Bodies

LaTeX Go Acceleration of Bodies = (Mass of Body A-Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]

Mass of Body B of Smaller Mass

LaTeX Go Mass of Body B = Tension of String/(Acceleration of Body in Motion+[g])

Tension in String if Both Bodies are Freely Hanging Formula

LaTeX Go

Tension in Hanging String = (2*Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]
T_h = (2*m_a*m_b)/(m_a+m_b)*[g]

What is a Pulley?

A pulley is a wheel that carries a flexible rope, cord, cable, chain, or belt on its rim. Pulleys are used singly or in combination to transmit energy and motion.

How to Calculate Tension in String if Both Bodies are Freely Hanging?

Tension in String if Both Bodies are Freely Hanging calculator uses Tension in Hanging String = (2*Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g] to calculate the Tension in Hanging String, Tension in String if Both Bodies are Freely Hanging formula is defined as a measure of the force exerted by the string on the two bodies when they are freely hanging and in equilibrium, providing a way to calculate the tension force in the string based on the masses of the two bodies. Tension in Hanging String is denoted by T_h symbol.

How to calculate Tension in String if Both Bodies are Freely Hanging using this online calculator? To use this online calculator for Tension in String if Both Bodies are Freely Hanging, enter Mass of Body A (m_a) & Mass of Body B (m_b) and hit the calculate button. Here is how the Tension in String if Both Bodies are Freely Hanging calculation can be explained with given input values -> 20.97084 = (2*29.1*1.11)/(29.1+1.11)*[g].

FAQ

What is Tension in String if Both Bodies are Freely Hanging?

Tension in String if Both Bodies are Freely Hanging formula is defined as a measure of the force exerted by the string on the two bodies when they are freely hanging and in equilibrium, providing a way to calculate the tension force in the string based on the masses of the two bodies and is represented as T_h = (2*m_a*m_b)/(m_a+m_b)*[g] or Tension in Hanging String = (2*Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]. Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion & Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.

How to calculate Tension in String if Both Bodies are Freely Hanging?

Tension in String if Both Bodies are Freely Hanging formula is defined as a measure of the force exerted by the string on the two bodies when they are freely hanging and in equilibrium, providing a way to calculate the tension force in the string based on the masses of the two bodies is calculated using Tension in Hanging String = (2*Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]. To calculate Tension in String if Both Bodies are Freely Hanging, you need Mass of Body A (m_a) & Mass of Body B (m_b). With our tool, you need to enter the respective value for Mass of Body A & Mass of Body B 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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