Acceleration of System given Mass of Body A Calculator

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Body Lying on Rough Inclined Plane

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✖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%
✖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%
✖Tension of String is described as the pulling force transmitted axially by the means of a string.ⓘ Tension of String [T]			+10% -10%

✖Acceleration of Body in Motion is the rate of change in velocity to the change in time.ⓘ Acceleration of System given Mass of Body A [a_mb]

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Formula

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Acceleration of System given Mass of Body A

Formula

`"a"_{"mb"} = ("m"_{"a"}*"[g]"*sin("α"_{"1"})-"μ"_{"cm"}*"m"_{"a"}*"[g]"*cos("α"_{"1"})-"T")/"m"_{"a"}`

Example

`"3.357449m/s²"=("29.1kg"*"[g]"*sin("34°")-"0.2"*"29.1kg"*"[g]"*cos("34°")-"14.56N")/"29.1kg"`

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Acceleration of System given Mass of Body A Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
a_mb = (m_a*[g]*sin(α₁)-μ_cm*m_a*[g]*cos(α₁)-T)/m_a
This formula uses 1 Constants, 2 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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

Acceleration of Body in Motion - (Measured in Meter per Square Second) - Acceleration of Body in Motion is the rate of change in velocity to the change in time.
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.
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.
Tension of String - (Measured in Newton) - Tension of String is described as the pulling force transmitted axially by the means of a string.

STEP 1: Convert Input(s) to Base Unit

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)
Coefficient of Friction: 0.2 --> No Conversion Required
Tension of String: 14.56 Newton --> 14.56 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_mb = (m_a*[g]*sin(α₁)-μ_cm*m_a*[g]*cos(α₁)-T)/m_a --> (29.1*[g]*sin(0.59341194567796)-0.2*29.1*[g]*cos(0.59341194567796)-14.56)/29.1

Evaluating ... ...

a_mb = 3.3574491820293

STEP 3: Convert Result to Output's Unit

3.3574491820293 Meter per Square Second --> No Conversion Required

FINAL ANSWER

3.3574491820293 ≈ 3.357449 Meter per Square Second <-- Acceleration of Body in Motion

(Calculation completed in 00.004 seconds)

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Home » Physics » Mechanics » Types of Motion » Motion in Bodies Connected by Strings » Body Lying on Rough Inclined Plane » Acceleration of System given Mass of 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 Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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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)

Acceleration of System given Mass of Body A Formula

What is Sliding Friction?

Sliding friction is the resistance created by any two objects when sliding against each other. This friction is also known as kinetic friction and is defined as the force that is needed to keep a surface sliding along another surface.

How to Calculate Acceleration of System given Mass of Body A?

Acceleration of System given Mass of Body A calculator uses 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 to calculate the Acceleration of Body in Motion, The Acceleration of system given mass of body A depends on the tension in the string, inclination of plane on which body A is lying, and the coefficient of friction between the surfaces. Acceleration of Body in Motion is denoted by a_mb symbol.

How to calculate Acceleration of System given Mass of Body A using this online calculator? To use this online calculator for Acceleration of System given Mass of Body A, enter Mass of Body A (m_a), Inclination of Plane 1 (α₁), Coefficient of Friction (μ_cm) & Tension of String (T) and hit the calculate button. Here is how the Acceleration of System given Mass of Body A calculation can be explained with given input values -> 1.544804 = (29.1*[g]*sin(0.59341194567796)-0.2*29.1*[g]*cos(0.59341194567796)-14.56)/29.1.

FAQ

What is Acceleration of System given Mass of Body A?

The Acceleration of system given mass of body A depends on the tension in the string, inclination of plane on which body A is lying, and the coefficient of friction between the surfaces and is represented as a_mb = (m_a*[g]*sin(α₁)-μ_cm*m_a*[g]*cos(α₁)-T)/m_a or 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. 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, 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 & Tension of String is described as the pulling force transmitted axially by the means of a string.

How to calculate Acceleration of System given Mass of Body A?

The Acceleration of system given mass of body A depends on the tension in the string, inclination of plane on which body A is lying, and the coefficient of friction between the surfaces is calculated using 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. To calculate Acceleration of System given Mass of Body A, you need Mass of Body A (m_a), Inclination of Plane 1 (α₁), Coefficient of Friction (μ_cm) & Tension of String (T). With our tool, you need to enter the respective value for Mass of Body A, Inclination of Plane 1, Coefficient of Friction & Tension of String and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Acceleration of Body in Motion?

In this formula, Acceleration of Body in Motion uses Mass of Body A, Inclination of Plane 1, Coefficient of Friction & Tension of String. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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