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Tension in String if Both Bodies are Freely Hanging Formula

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Tension in Hanging String is the force exerted by a string on an object when it is suspended or hung from a fixed point. Check FAQs

T h = \frac{2 \cdot m a \cdot m b}{m a + m b} \cdot [g]

T_h - Tension in Hanging String?m_a - Mass of Body A?m_b - Mass of Body B?[g] - Gravitational acceleration on Earth?

Tension in String if Both Bodies are Freely Hanging Example

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Here is how the Tension in String if Both Bodies are Freely Hanging equation looks like with Values.

Here is how the Tension in String if Both Bodies are Freely Hanging equation looks like with Units.

Here is how the Tension in String if Both Bodies are Freely Hanging equation looks like.

20.9708 = \frac{2 \cdot 29.1 \cdot 1.11}{29.1 + 1.11} \cdot 9.8066

20.9708N = \frac{2 \cdot 29.1kg \cdot 1.11kg}{29.1kg + 1.11kg} \cdot 9.8066m/s²

20.9708 = \frac{2 \cdot 29.1 \cdot 1.11}{29.1 + 1.11} \cdot 9.8066

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Tension in String if Both Bodies are Freely Hanging Solution

Follow our step by step solution on how to calculate Tension in String if Both Bodies are Freely Hanging?

FIRST Step Consider the formula

T h = \frac{2 \cdot m a \cdot m b}{m a + m b} \cdot [g]

Next Step Substitute values of Variables

∴

T h = \frac{2 \cdot 29.1kg \cdot 1.11kg}{29.1kg + 1.11kg} \cdot [g]

Next Step Substitute values of Constants

∴

T h = \frac{2 \cdot 29.1kg \cdot 1.11kg}{29.1kg + 1.11kg} \cdot 9.8066m/s²

Next Step Prepare to Evaluate

∴

T h = \frac{2 \cdot 29.1 \cdot 1.11}{29.1 + 1.11} \cdot 9.8066

Next Step Evaluate

∴

T h = 20.9708442005958N

LAST Step Rounding Answer

∴

T h = 20.9708N

Tension in String if Both Bodies are Freely Hanging Formula Elements

Variables

Constants

Tension in Hanging String

Tension in Hanging String is the force exerted by a string on an object when it is suspended or hung from a fixed point.

Symbol: T_h

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Tension in Hanging String

Mass of Body A

Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion.

Symbol: m_a

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Body A

Mass of Body B

Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.

Symbol: m_b

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Body B

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 Passing Over Smooth Pulley category

Go Mass of Body B of Smaller Mass

m b = \frac{T}{a mb + [g]}

Go Acceleration of Bodies

a bs = \frac{m a - m b}{m a + m b} \cdot [g]

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

Tension in String if Both Bodies are Freely Hanging evaluator uses Tension in Hanging String = (2*Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g] to evaluate 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 evaluate Tension in String if Both Bodies are Freely Hanging using this online evaluator? To use this online evaluator 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.

FAQs on Tension in String if Both Bodies are Freely Hanging

What is the formula to find Tension in String if Both Bodies are Freely Hanging?

The formula of Tension in String if Both Bodies are Freely Hanging is expressed as Tension in Hanging String = (2*Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]. Here is an example- 20.97084 = (2*29.1*1.11)/(29.1+1.11)*[g].

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

With Mass of Body A (m_a) & Mass of Body B (m_b) we can find Tension in String if Both Bodies are Freely Hanging using the formula - Tension in Hanging String = (2*Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Tension in String if Both Bodies are Freely Hanging be negative?

Yes, the Tension in String if Both Bodies are Freely Hanging, measured in Force can be negative.

Which unit is used to measure Tension in String if Both Bodies are Freely Hanging?

Tension in String if Both Bodies are Freely Hanging 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 if Both Bodies are Freely Hanging can be measured.

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