Frictional Force on Body A Calculator

✖Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces to the normal force pressing them together.ⓘ Coefficient of Friction [μ_cm]			+10% -10%
✖Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion.ⓘ Mass of Body A [m_a]			+10% -10%
✖Inclination of Plane 1 is the angle between the plane and the horizontal surface in a system of bodies connected by strings.ⓘ Inclination of Plane 1 [α₁]			+10% -10%

✖Frictional Force A is the force that opposes motion between two surfaces in contact, affecting the motion of bodies connected by strings.ⓘ Frictional Force on Body A [F_A]

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Frictional Force on Body A Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frictional Force A = Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1)
F_A = μ_cm*m_a*[g]*cos(α₁)
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

Frictional Force A - (Measured in Newton) - Frictional Force A is the force that opposes motion between two surfaces in contact, affecting the motion of bodies connected by strings.
Coefficient of Friction - Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces to the normal force pressing them together.
Mass of Body A - (Measured in Kilogram) - Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion.
Inclination of Plane 1 - (Measured in Radian) - Inclination of Plane 1 is the angle between the plane and the horizontal surface in a system of bodies connected by strings.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction: 0.2 --> No Conversion Required
Mass of Body A: 29.1 Kilogram --> 29.1 Kilogram No Conversion Required
Inclination of Plane 1: 34 Degree --> 0.59341194567796 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_A = μ_cm*m_a*[g]*cos(α₁) --> 0.2*29.1*[g]*cos(0.59341194567796)

Evaluating ... ...

F_A = 47.3170732294235

STEP 3: Convert Result to Output's Unit

47.3170732294235 Newton --> No Conversion Required

FINAL ANSWER

47.3170732294235 ≈ 47.31707 Newton <-- Frictional Force A

(Calculation completed in 00.020 seconds)

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Home » Physics » Mechanics » Types of Motion » Motion in Bodies Connected by Strings » Mechanical » Body Lying on Rough Inclined Plane » Frictional Force on Body A

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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

Acceleration of System given Mass of Body A

LaTeX Go Acceleration of Body in Motion = (Mass of Body A*[g]*sin(Inclination of Plane 1)-Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1)-Tension of String)/Mass of Body A

Acceleration of System given Mass of Body B

LaTeX Go Acceleration of Body in Motion = (Tension of String-Mass of Body B*[g]*sin(Inclination of Plane 2)-Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2))/Mass of Body B

Tension in String given Mass of Body A

LaTeX Go Tension of String in Body A = Mass of Body A*([g]*sin(Inclination of Plane 1)-Coefficient of Friction*[g]*cos(Inclination of Plane 1)-Minimum Acceleration of Body in Motion)

Tension in String given Mass of Body B

LaTeX Go Tension of String in Body B = Mass of Body B*([g]*sin(Inclination of Plane 2)+Coefficient of Friction*[g]*cos(Inclination of Plane 2)+Acceleration of Body in Motion)

Frictional Force on Body A Formula

LaTeX Go

Frictional Force A = Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1)
F_A = μ_cm*m_a*[g]*cos(α₁)

What is importance of Friction?

Friction can be a useful force because it prevents our shoes slipping on the pavement when we walk and stops car tyres skidding on the road. When you walk, friction is caused between the tread on shoes and the ground. This friction acts to grip the ground and prevent sliding.

How to Calculate Frictional Force on Body A?

Frictional Force on Body A calculator uses Frictional Force A = Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1) to calculate the Frictional Force A, Frictional Force on Body A formula is defined as the measure of the force exerted by a surface on an object as it moves or tries to move along that surface, opposing the motion, and is influenced by the coefficient of maximum static friction, mass of the object, acceleration due to gravity, and the angle of inclination. Frictional Force A is denoted by F_A symbol.

How to calculate Frictional Force on Body A using this online calculator? To use this online calculator for Frictional Force on Body A, enter Coefficient of Friction (μ_cm), Mass of Body A (m_a) & Inclination of Plane 1 (α₁) and hit the calculate button. Here is how the Frictional Force on Body A calculation can be explained with given input values -> 47.31707 = 0.2*29.1*[g]*cos(0.59341194567796).

FAQ

What is Frictional Force on Body A?

Frictional Force on Body A formula is defined as the measure of the force exerted by a surface on an object as it moves or tries to move along that surface, opposing the motion, and is influenced by the coefficient of maximum static friction, mass of the object, acceleration due to gravity, and the angle of inclination and is represented as F_A = μ_cm*m_a*[g]*cos(α₁) or Frictional Force A = Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1). Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces to the normal force pressing them together, Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion & Inclination of Plane 1 is the angle between the plane and the horizontal surface in a system of bodies connected by strings.

How to calculate Frictional Force on Body A?

Frictional Force on Body A formula is defined as the measure of the force exerted by a surface on an object as it moves or tries to move along that surface, opposing the motion, and is influenced by the coefficient of maximum static friction, mass of the object, acceleration due to gravity, and the angle of inclination is calculated using Frictional Force A = Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1). To calculate Frictional Force on Body A, you need Coefficient of Friction (μ_cm), Mass of Body A (m_a) & Inclination of Plane 1 (α₁). With our tool, you need to enter the respective value for Coefficient of Friction, Mass of Body A & Inclination of Plane 1 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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