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)
FB = μcm*mb*[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, 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 B - (Measured in Kilogram) - Mass of Body B is the measure of the quantity of matter that a body or an object contains.
Inclination of Plane 2 - (Measured in Radian) - Inclination of Plane 2 is the angle of inclination of a plane measured anticlockwise from the reference horizontal line.
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
FB = μcm*mb*[g]*cos(α2) --> 0.2*1.11*[g]*cos(0.959931088596701)
Evaluating ... ...
FB = 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)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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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 B Formula

Frictional Force B = Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2)
FB = μcm*mb*[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, The Frictional force on body B is proportional to the coefficient of friction at the interface, mass of body B and inclination of plane on which body B is lying. Frictional Force B is denoted by FB 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 cm), Mass of Body B (mb) & Inclination of Plane 2 2) and hit the calculate button. Here is how the Frictional Force on Body B calculation can be explained with given input values -> 0.195422 = 0.2*1.11*[g]*cos(0.959931088596701).

FAQ

What is Frictional Force on Body B?
The Frictional force on body B is proportional to the coefficient of friction at the interface, mass of body B and inclination of plane on which body B is lying and is represented as FB = μcm*mb*[g]*cos(α2) or Frictional Force B = Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2). 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 B is the measure of the quantity of matter that a body or an object contains & Inclination of Plane 2 is the angle of inclination of a plane measured anticlockwise from the reference horizontal line.
How to calculate Frictional Force on Body B?
The Frictional force on body B is proportional to the coefficient of friction at the interface, mass of body B and inclination of plane on which body B is lying 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 cm), Mass of Body B (mb) & Inclination of Plane 2 2). 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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