## Mass of Body B given Frictional Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass of Right Body = Force of Friction/(Coefficient of Friction for Hanging String*[g]*cos(Inclination of Plane))
m2 = Ffri/(μhs*[g]*cos(θp))
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
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.
Force of Friction - (Measured in Newton) - Force of Friction is the force that opposes motion between two surfaces in contact, acting along the surface, when a body hangs by a string.
Coefficient of Friction for Hanging String - Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string.
Inclination of Plane - (Measured in Radian) - Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.
STEP 1: Convert Input(s) to Base Unit
Force of Friction: 30.97607 Newton --> 30.97607 Newton No Conversion Required
Coefficient of Friction for Hanging String: 0.24 --> No Conversion Required
Inclination of Plane: 13.23 Degree --> 0.230907060038806 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m2 = Ffri/(μhs*[g]*cos(θp)) --> 30.97607/(0.24*[g]*cos(0.230907060038806))
Evaluating ... ...
m2 = 13.5199985033811
STEP 3: Convert Result to Output's Unit
13.5199985033811 Kilogram --> No Conversion Required
13.5199985033811 13.52 Kilogram <-- Mass of Right Body
(Calculation completed in 00.004 seconds)
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## 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 Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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## <Body Lying on Rough Inclined Plane Calculators

Coefficient of Friction given Tension
​ Go Coefficient of Friction for Hanging String = (Mass of Left Body+Mass of Right Body)/(Mass of Left Body*Mass of Left Body*[g])*Tension in String*sec(Inclination of body)-tan(Inclination of body)-sec(Inclination of body)
Acceleration of System with Bodies One Hanging Free, Other Lying on Rough Inclined Plane
​ Go Acceleration of System in Inclined Plane = (Mass of Left Body-Mass of Right Body*sin(Inclination of Plane)-Coefficient of Friction for Hanging String*Mass of Right Body*cos(Inclination of Plane))/(Mass of Left Body+Mass of Right Body)*[g]
Tension in String given Coefficient of Friction of Inclined Plane
​ Go Tension in String = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]*(1+sin(Inclination of Plane)+Coefficient of Friction for Hanging String*cos(Inclination of Plane))
Frictional Force
​ Go Force of Friction = Coefficient of Friction for Hanging String*Mass of Right Body*[g]*cos(Inclination of Plane)

## Mass of Body B given Frictional Force Formula

Mass of Right Body = Force of Friction/(Coefficient of Friction for Hanging String*[g]*cos(Inclination of Plane))
m2 = Ffri/(μhs*[g]*cos(θp))

## What affects Frictional Force?

These forces are mainly affected by the surface texture and the amount of force impelling them together.

## How to Calculate Mass of Body B given Frictional Force?

Mass of Body B given Frictional Force calculator uses Mass of Right Body = Force of Friction/(Coefficient of Friction for Hanging String*[g]*cos(Inclination of Plane)) to calculate the Mass of Right Body, Mass of Body B given Frictional Force formula is defined as a measure of the mass of an object on a horizontal surface, taking into account the frictional force, coefficient of static friction, acceleration due to gravity, and the angle of the plane. Mass of Right Body is denoted by m2 symbol.

How to calculate Mass of Body B given Frictional Force using this online calculator? To use this online calculator for Mass of Body B given Frictional Force, enter Force of Friction (Ffri), Coefficient of Friction for Hanging String hs) & Inclination of Plane p) and hit the calculate button. Here is how the Mass of Body B given Frictional Force calculation can be explained with given input values -> 13.52 = 30.97607/(0.24*[g]*cos(0.230907060038806)).

### FAQ

What is Mass of Body B given Frictional Force?
Mass of Body B given Frictional Force formula is defined as a measure of the mass of an object on a horizontal surface, taking into account the frictional force, coefficient of static friction, acceleration due to gravity, and the angle of the plane and is represented as m2 = Ffri/(μhs*[g]*cos(θp)) or Mass of Right Body = Force of Friction/(Coefficient of Friction for Hanging String*[g]*cos(Inclination of Plane)). Force of Friction is the force that opposes motion between two surfaces in contact, acting along the surface, when a body hangs by a string, Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string & Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.
How to calculate Mass of Body B given Frictional Force?
Mass of Body B given Frictional Force formula is defined as a measure of the mass of an object on a horizontal surface, taking into account the frictional force, coefficient of static friction, acceleration due to gravity, and the angle of the plane is calculated using Mass of Right Body = Force of Friction/(Coefficient of Friction for Hanging String*[g]*cos(Inclination of Plane)). To calculate Mass of Body B given Frictional Force, you need Force of Friction (Ffri), Coefficient of Friction for Hanging String hs) & Inclination of Plane p). With our tool, you need to enter the respective value for Force of Friction, Coefficient of Friction for Hanging String & Inclination of Plane 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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