Frictional Force on Body A Calculator

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Types of Motion

Engineering Mechanics

Friction

General Principal to Dynamics

Properties of Planes and Solids

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Motion in Bodies Connected by Strings

Curvilinear Motion

Linear Motion

Motion in Bodies Hanging by String

Projectile Motion

Rotary Motion

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Body Lying on Rough Inclined Plane

Body Lying on Smooth Inclined Plane

Body Passing Over Smooth Pulley

✖The Coefficient of Friction (μ) 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 [μ_cm]			+10% -10%
✖Mass of Body A is the measure of the quantity of matter that a body or an object contains.ⓘ Mass of Body A [m_a]			+10% -10%
✖Inclination of Plane 1 is the angle of inclination of a plane measured clockwise from the reference horizontal line.ⓘ Inclination of Plane 1 [α₁]			+10% -10%

✖Frictional Force A, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.ⓘ Frictional Force on Body A [F_A]

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Formula

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Frictional Force on Body A

Formula

`"F"_{"A"} = "μ"_{"cm"}*"m"_{"a"}*"[g]"*cos("α"_{"1"})`

Example

`"47.31707N"="0.2"*"29.1kg"*"[g]"*cos("34°")`

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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, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Mass of Body A - (Measured in Kilogram) - Mass of Body A is the measure of the quantity of matter that a body or an object contains.
Inclination of Plane 1 - (Measured in Radian) - Inclination of Plane 1 is the angle of inclination of a plane measured clockwise from the reference horizontal line.

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 00.004 seconds)

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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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< 6 Body Lying on Rough Inclined Plane Calculators

Acceleration of System given Mass of Body A

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

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

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

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

Go Frictional Force A = Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1)

Frictional Force on Body B

Go Frictional Force B = Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2)

Frictional Force on Body A Formula

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 is proportional to the coefficient of friction at the interface, the mass of body A and the inclination of plane on which body A is lying. 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 -> 52.49463 = 0.2*29.1*[g]*cos(0.59341194567796).

FAQ

What is Frictional Force on Body A?

Frictional force on body A is proportional to the coefficient of friction at the interface, the mass of body A and the inclination of plane on which body A is lying 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). The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it, Mass of Body A is the measure of the quantity of matter that a body or an object contains & Inclination of Plane 1 is the angle of inclination of a plane measured clockwise from the reference horizontal line.

How to calculate Frictional Force on Body A?

Frictional force on body A is proportional to the coefficient of friction at the interface, the mass of body A and the inclination of plane on which body A is lying 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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