Mass of Body B given Frictional Force Calculator

✖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.ⓘ Force of Friction [F_fri]			+10% -10%
✖Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string.ⓘ Coefficient of Friction for Hanging String [μ_hs]			+10% -10%
✖Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.ⓘ Inclination of Plane [θ_p]			+10% -10%

✖Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.ⓘ Mass of Body B given Frictional Force [m₂]

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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 = F_fri/(μ_hs*[g]*cos(θ_p))
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 = F_fri/(μ_hs*[g]*cos(θ_p)) --> 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

FINAL ANSWER

13.5199985033811 ≈ 13.52 Kilogram <-- Mass of Right Body

(Calculation completed in 00.004 seconds)

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Home » Physics » Mechanics » Types of Motion » Motion in Bodies Hanging by String » Mechanical » Body Lying on Rough Inclined Plane » Mass of Body B given Frictional Force

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Created by Vinay Mishra

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

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Amrita School of Engineering (ASE), Vallikavu

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< Body Lying on Rough Inclined Plane Calculators

Coefficient of Friction given Tension

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go

Mass of Right Body = Force of Friction/(Coefficient of Friction for Hanging String*[g]*cos(Inclination of Plane))
m₂ = F_fri/(μ_hs*[g]*cos(θ_p))

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 (F_fri), Coefficient of Friction for Hanging String (μ_hs) & Inclination of Plane (θ_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 = F_fri/(μ_hs*[g]*cos(θ_p)) 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 (F_fri), Coefficient of Friction for Hanging String (μ_hs) & Inclination of Plane (θ_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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