Frictional Force on Body B 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 B is the quantity of matter in an object connected to another body through a string or cord.ⓘ Mass of Body B [m_b]			+10% -10%
✖Inclination of Plane 2 is the angle between the plane of motion of the second body and the horizontal plane in a connected system.ⓘ Inclination of Plane 2 [α₂]			+10% -10%

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

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Formula

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Frictional Force on Body B

Formula

F B = μ cm \cdot m b \cdot [g] \cdot \cos (α 2)

Example

1.24872 N = 0.2 \cdot 1.11 kg \cdot [g] \cdot \cos (55 °)

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Frictional Force on Body B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frictional Force B = Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2)
F_B = μ_cm*m_b*[g]*cos(α₂)
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 B - (Measured in Newton) - Frictional Force B 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 B - (Measured in Kilogram) - Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.
Inclination of Plane 2 - (Measured in Radian) - Inclination of Plane 2 is the angle between the plane of motion of the second body and the horizontal plane in a connected system.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction: 0.2 --> No Conversion Required
Mass of Body B: 1.11 Kilogram --> 1.11 Kilogram No Conversion Required
Inclination of Plane 2: 55 Degree --> 0.959931088596701 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_B = μ_cm*m_b*[g]*cos(α₂) --> 0.2*1.11*[g]*cos(0.959931088596701)

Evaluating ... ...

F_B = 1.24871966581864

STEP 3: Convert Result to Output's Unit

1.24871966581864 Newton --> No Conversion Required

FINAL ANSWER

1.24871966581864 ≈ 1.24872 Newton <-- Frictional Force B

(Calculation completed in 00.004 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 B

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Created by Vinay Mishra

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

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PSG College of Technology (PSGCT), Coimbatore

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< 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 B Formula

Frictional Force B = Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2)
F_B = μ_cm*m_b*[g]*cos(α₂)

What are some of the Laws of Friction?

Friction is independent of the area of contact as long as there is an area of contact. Kinetic friction is independent of velocity. The coefficient of static friction is greater than the coefficient of kinetic friction. These are some of the laws of friction.

How to Calculate Frictional Force on Body B?

Frictional Force on Body B calculator uses Frictional Force B = Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2) to calculate the Frictional Force B, Frictional Force on Body B formula is defined as the measure of the force exerted on an object due to the frictional resistance between the object and the surface it is in contact with, taking into account the coefficient of maximum static friction, mass of the object, acceleration due to gravity, and the cosine of the angle of inclination. Frictional Force B is denoted by F_B symbol.

How to calculate Frictional Force on Body B using this online calculator? To use this online calculator for Frictional Force on Body B, enter Coefficient of Friction (μ_cm), Mass of Body B (m_b) & Inclination of Plane 2 (α₂) and hit the calculate button. Here is how the Frictional Force on Body B calculation can be explained with given input values -> 1.24872 = 0.2*1.11*[g]*cos(0.959931088596701).

FAQ

What is Frictional Force on Body B?

Frictional Force on Body B formula is defined as the measure of the force exerted on an object due to the frictional resistance between the object and the surface it is in contact with, taking into account the coefficient of maximum static friction, mass of the object, acceleration due to gravity, and the cosine of the angle of inclination and is represented as F_B = μ_cm*m_b*[g]*cos(α₂) or Frictional Force B = Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2). 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 B is the quantity of matter in an object connected to another body through a string or cord & Inclination of Plane 2 is the angle between the plane of motion of the second body and the horizontal plane in a connected system.

How to calculate Frictional Force on Body B?

Frictional Force on Body B formula is defined as the measure of the force exerted on an object due to the frictional resistance between the object and the surface it is in contact with, taking into account the coefficient of maximum static friction, mass of the object, acceleration due to gravity, and the cosine of the angle of inclination is calculated using Frictional Force B = Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2). To calculate Frictional Force on Body B, you need Coefficient of Friction (μ_cm), Mass of Body B (m_b) & Inclination of Plane 2 (α₂). With our tool, you need to enter the respective value for Coefficient of Friction, Mass of Body B & Inclination of Plane 2 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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