Acceleration of System given Mass of Body A Calculator

✖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%
✖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%
✖Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.ⓘ Tension of String [T]			+10% -10%

✖Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings.ⓘ Acceleration of System given Mass of Body A [a_mb]

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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 of velocity of an object moving in a circular path connected by strings.
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.
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.
Tension of String - (Measured in Newton) - Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.

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 » Mechanical » 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

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Verified by Maiarutselvan V

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

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)

Acceleration of System given Mass of Body A Formula

LaTeX Go

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, Acceleration of System given Mass of Body A formula is defined as a measure of the rate of change of velocity of an object in a system, considering the mass of body A, gravitational force, and frictional forces, allowing for the calculation of the acceleration of the system. 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 -> 3.357449 = (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?

Acceleration of System given Mass of Body A formula is defined as a measure of the rate of change of velocity of an object in a system, considering the mass of body A, gravitational force, and frictional forces, allowing for the calculation of the acceleration of the system 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 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, Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces to the normal force pressing them together & Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.

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

Acceleration of System given Mass of Body A formula is defined as a measure of the rate of change of velocity of an object in a system, considering the mass of body A, gravitational force, and frictional forces, allowing for the calculation of the acceleration of the system 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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