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]
Th = (2*ma*mb)/(ma+mb)*[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 described as the pulling force transmitted axially by the means of a string.
Mass of Body A - (Measured in Kilogram) - Mass of Body A is the measure of the quantity of matter that a body or an object contains.
Mass of Body B - (Measured in Kilogram) - Mass of Body B is the measure of the quantity of matter that a body or an object contains.
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
Th = (2*ma*mb)/(ma+mb)*[g] --> (2*29.1*1.11)/(29.1+1.11)*[g]
Evaluating ... ...
Th = 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 00.004 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
Verified by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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3 Body Passing Over Smooth Pulley Calculators

Tension in String if Both Bodies are Freely Hanging
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
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
Go Mass of Body B = Tension of String/(Acceleration of Body in Motion+[g])

Tension in String if Both Bodies are Freely Hanging Formula

Tension in Hanging String = (2*Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]
Th = (2*ma*mb)/(ma+mb)*[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, The Tension in string if both bodies are freely hanging and passing over a small smooth fixed pulley is the function of both the masses. Tension in Hanging String is denoted by Th 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 (ma) & Mass of Body B (mb) 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?
The Tension in string if both bodies are freely hanging and passing over a small smooth fixed pulley is the function of both the masses and is represented as Th = (2*ma*mb)/(ma+mb)*[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 measure of the quantity of matter that a body or an object contains & Mass of Body B is the measure of the quantity of matter that a body or an object contains.
How to calculate Tension in String if Both Bodies are Freely Hanging?
The Tension in string if both bodies are freely hanging and passing over a small smooth fixed pulley is the function of both the masses 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 (ma) & Mass of Body B (mb). 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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