Mass of Body B given Frictional Force Calculator

✖Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.ⓘ Force of Friction [F_fri]			+10% -10%
✖Coefficient of Friction for Hanging String is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction for Hanging String [μ_hs]			+10% -10%
✖The inclination of Plane is the angle a tilted ramp makes with the flat surface.ⓘ Inclination of Plane [θ_p]			+10% -10%

✖Mass of Right Body is the measure of the quantity of matter that a body or an object contains.ⓘ Mass of Body B given Frictional Force [m₂]

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Formula

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Mass of Body B given Frictional Force

Formula

`"m"_{"2"} = "F"_{"fri"}/("μ"_{"hs"}*"[g]"*cos("θ"_{"p"}))`

Example

`"13.52608kg"="30.99N"/("0.24"*"[g]"*cos("13.23°"))`

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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 measure of the quantity of matter that a body or an object contains.
Force of Friction - (Measured in Newton) - Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.
Coefficient of Friction for Hanging String - Coefficient of Friction for Hanging String is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Inclination of Plane - (Measured in Radian) - The inclination of Plane is the angle a tilted ramp makes with the flat surface.

STEP 1: Convert Input(s) to Base Unit

Force of Friction: 30.99 Newton --> 30.99 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)) --> 30.99/(0.24*[g]*cos(0.230907060038806))

Evaluating ... ...

m₂ = 13.5260784734726

STEP 3: Convert Result to Output's Unit

13.5260784734726 Kilogram --> No Conversion Required

FINAL ANSWER

13.5260784734726 ≈ 13.52608 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 » 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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< 7 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))

Inclination of Plane for given Frictional Force

Go Inclination of Plane = acos(Force of Friction/(Coefficient of Friction for Hanging String*Mass of Right Body*[g]))

Coefficient of Friction given Frictional Force

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

Mass of Body B given Frictional Force

Go Mass of Right Body = Force of Friction/(Coefficient of Friction for Hanging String*[g]*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 = 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, The Mass of body B given frictional force acting on body B is the function of the coefficient of friction at the interface and the angle of inclination 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 -> 13.52608 = 30.99/(0.24*[g]*cos(0.230907060038806)).

FAQ

What is Mass of Body B given Frictional Force?

The Mass of body B given frictional force acting on body B is the function of the coefficient of friction at the interface and the angle of inclination 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, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force, Coefficient of Friction for Hanging String is the ratio defining the force that resists the motion of one body in relation to another body in contact with it & The inclination of Plane is the angle a tilted ramp makes with the flat surface.

How to calculate Mass of Body B given Frictional Force?

The Mass of body B given frictional force acting on body B is the function of the coefficient of friction at the interface and the angle of inclination 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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