Mass of Body B of Smaller Mass Calculator

✖Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.ⓘ Tension of String [T]			+10% -10%
✖Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings.ⓘ Acceleration of Body in Motion [a_mb]			+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 of Smaller Mass [m_b]

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Download Motion in Bodies Connected by Strings Formulas PDF

Mass of Body B of Smaller Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass of Body B = Tension of String/(Acceleration of Body in Motion+[g])
m_b = T/(a_mb+[g])
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

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.
Tension of String - (Measured in Newton) - Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.
Acceleration of Body in Motion - (Measured in Meter per Square Second) - Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings.

STEP 1: Convert Input(s) to Base Unit

Tension of String: 14.56 Newton --> 14.56 Newton No Conversion Required
Acceleration of Body in Motion: 3.35 Meter per Square Second --> 3.35 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_b = T/(a_mb+[g]) --> 14.56/(3.35+[g])

Evaluating ... ...

m_b = 1.10666469047972

STEP 3: Convert Result to Output's Unit

1.10666469047972 Kilogram --> No Conversion Required

FINAL ANSWER

1.10666469047972 ≈ 1.106665 Kilogram <-- Mass of Body B

(Calculation completed in 00.006 seconds)

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Home » Physics » Mechanics » Types of Motion » Motion in Bodies Connected by Strings » Mechanical » Body Passing Over Smooth Pulley » Mass of Body B of Smaller Mass

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Created by Vinay Mishra

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

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Verified by Shikha Maurya

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])

Mass of Body B of Smaller Mass Formula

LaTeX Go

Mass of Body B = Tension of String/(Acceleration of Body in Motion+[g])
m_b = T/(a_mb+[g])

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There are three main types of pulleys: fixed, movable, and compound. A fixed pulley's wheel and axle stay in one place.

How to Calculate Mass of Body B of Smaller Mass?

Mass of Body B of Smaller Mass calculator uses Mass of Body B = Tension of String/(Acceleration of Body in Motion+[g]) to calculate the Mass of Body B, Mass of Body B of Smaller Mass formula is defined as a measure of the mass of a smaller body in a two-body system, which is essential in understanding the gravitational interactions between celestial objects, such as planets and their moons, or stars and their companions. Mass of Body B is denoted by m_b symbol.

How to calculate Mass of Body B of Smaller Mass using this online calculator? To use this online calculator for Mass of Body B of Smaller Mass, enter Tension of String (T) & Acceleration of Body in Motion (a_mb) and hit the calculate button. Here is how the Mass of Body B of Smaller Mass calculation can be explained with given input values -> 1.106665 = 14.56/(3.35+[g]).

FAQ

What is Mass of Body B of Smaller Mass?

Mass of Body B of Smaller Mass formula is defined as a measure of the mass of a smaller body in a two-body system, which is essential in understanding the gravitational interactions between celestial objects, such as planets and their moons, or stars and their companions and is represented as m_b = T/(a_mb+[g]) or Mass of Body B = Tension of String/(Acceleration of Body in Motion+[g]). Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies & Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings.

How to calculate Mass of Body B of Smaller Mass?

Mass of Body B of Smaller Mass formula is defined as a measure of the mass of a smaller body in a two-body system, which is essential in understanding the gravitational interactions between celestial objects, such as planets and their moons, or stars and their companions is calculated using Mass of Body B = Tension of String/(Acceleration of Body in Motion+[g]). To calculate Mass of Body B of Smaller Mass, you need Tension of String (T) & Acceleration of Body in Motion (a_mb). With our tool, you need to enter the respective value for Tension of String & Acceleration of Body in Motion 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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