Acceleration of System given Mass of Body B Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
amb = (T-mb*[g]*sin(α2)-μcm*mb*[g]*cos(α2))/mb
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.
Tension of String - (Measured in Newton) - Tension of String is described as the pulling force transmitted axially by the means of a string.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Tension of String: 14.56 Newton --> 14.56 Newton 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)
Coefficient of Friction: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
amb = (T-mb*[g]*sin(α2)-μcm*mb*[g]*cos(α2))/mb --> (14.56-1.11*[g]*sin(0.959931088596701)-0.2*1.11*[g]*cos(0.959931088596701))/1.11
Evaluating ... ...
amb = 3.9590070500828
STEP 3: Convert Result to Output's Unit
3.9590070500828 Meter per Square Second --> No Conversion Required
FINAL ANSWER
3.9590070500828 3.959007 Meter per Square Second <-- Acceleration of Body in Motion
(Calculation completed in 00.020 seconds)

Credits

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 B Formula

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
amb = (T-mb*[g]*sin(α2)-μcm*mb*[g]*cos(α2))/mb

What are some examples of sliding friction?

Rubbing both the hands together to create heat, a child sliding down through a slide in a park, a washing machine pushed along with the floor are some of the examples.


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

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

How to calculate Acceleration of System given Mass of Body B using this online calculator? To use this online calculator for Acceleration of System given Mass of Body B, enter Tension of String (T), Mass of Body B (mb), Inclination of Plane 2 2) & Coefficient of Friction cm) and hit the calculate button. Here is how the Acceleration of System given Mass of Body B calculation can be explained with given input values -> 3.174 = (14.56-1.11*[g]*sin(0.959931088596701)-0.2*1.11*[g]*cos(0.959931088596701))/1.11.

FAQ

What is Acceleration of System given Mass of Body B?
The Acceleration of system given mass of body B depends on the tension in the string, inclination of plane on which body B is lying and the coefficient of friction between the surfaces and is represented as amb = (T-mb*[g]*sin(α2)-μcm*mb*[g]*cos(α2))/mb or 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 of String is described as the pulling force transmitted axially by the means of a string, 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 & 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.
How to calculate Acceleration of System given Mass of Body B?
The Acceleration of system given mass of body B depends on the tension in the string, inclination of plane on which body B is lying and the coefficient of friction between the surfaces is calculated using 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. To calculate Acceleration of System given Mass of Body B, you need Tension of String (T), Mass of Body B (mb), Inclination of Plane 2 2) & Coefficient of Friction cm). With our tool, you need to enter the respective value for Tension of String, Mass of Body B, Inclination of Plane 2 & Coefficient of Friction 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 Tension of String, Mass of Body B, Inclination of Plane 2 & Coefficient of Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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
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