Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane Calculator

✖Mass of Left Body is the amount of matter in an object hanging from a string, which affects the motion of the system.ⓘ Mass of Left Body [m₁]			+10% -10%
✖Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string.ⓘ Coefficient of Friction for Hanging String [μ_hs]			+10% -10%
✖Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.ⓘ Mass of Right Body [m₂]			+10% -10%

✖Acceleration of Body is the rate of change of velocity of an object hanging by a string, describing its motion under the influence of gravity.ⓘ Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane [a_s]

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Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration of Body = (Mass of Left Body-Coefficient of Friction for Hanging String*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]
a_s = (m₁-μ_hs*m₂)/(m₁+m₂)*[g]
This formula uses 1 Constants, 4 Variables

Constants Used

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

Variables Used

Acceleration of Body - (Measured in Meter per Square Second) - Acceleration of Body is the rate of change of velocity of an object hanging by a string, describing its motion under the influence of gravity.
Mass of Left Body - (Measured in Kilogram) - Mass of Left Body is the amount of matter in an object hanging from a string, which affects the motion of the system.
Coefficient of Friction for Hanging String - Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string.
Mass of Right Body - (Measured in Kilogram) - Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.

STEP 1: Convert Input(s) to Base Unit

Mass of Left Body: 29 Kilogram --> 29 Kilogram No Conversion Required
Coefficient of Friction for Hanging String: 0.24 --> No Conversion Required
Mass of Right Body: 13.52 Kilogram --> 13.52 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_s = (m₁-μ_hs*m₂)/(m₁+m₂)*[g] --> (29-0.24*13.52)/(29+13.52)*[g]

Evaluating ... ...

a_s = 5.94008071683914

STEP 3: Convert Result to Output's Unit

5.94008071683914 Meter per Square Second --> No Conversion Required

FINAL ANSWER

5.94008071683914 ≈ 5.940081 Meter per Square Second <-- Acceleration of Body

(Calculation completed in 00.004 seconds)

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Home » Physics » Mechanics » Types of Motion » Motion in Bodies Hanging by String » Mechanical » Body Lying on Rough Horizontal Plane » Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane

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Created by Vinay Mishra

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

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< Body Lying on Rough Horizontal Plane Calculators

Tension in String given Coefficient of Friction of Horizontal Plane

LaTeX Go Tension in String = (1+Coefficient of Friction for Horizontal Plane)*(Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]

Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane

LaTeX Go Acceleration of Body = (Mass of Left Body-Coefficient of Friction for Hanging String*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]

Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane Formula

LaTeX Go

Acceleration of Body = (Mass of Left Body-Coefficient of Friction for Hanging String*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]
a_s = (m₁-μ_hs*m₂)/(m₁+m₂)*[g]

What is a High Coefficient of Friction?

The coefficient of friction is a measure of the amount of friction existing between two surfaces. A low value of the coefficient of friction indicates that the force required for sliding to occur is less than the force required when the coefficient of friction is high.

How to Calculate Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane?

Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane calculator uses Acceleration of Body = (Mass of Left Body-Coefficient of Friction for Hanging String*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g] to calculate the Acceleration of Body, Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane formula is defined as the rate of change of velocity of an object when one body is hanging freely and the other is lying on a rough horizontal plane, describing the motion of objects under the influence of friction and gravity. Acceleration of Body is denoted by a_s symbol.

How to calculate Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane using this online calculator? To use this online calculator for Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane, enter Mass of Left Body (m₁), Coefficient of Friction for Hanging String (μ_hs) & Mass of Right Body (m₂) and hit the calculate button. Here is how the Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane calculation can be explained with given input values -> 5.940081 = (29-0.24*13.52)/(29+13.52)*[g].

FAQ

What is Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane?

Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane formula is defined as the rate of change of velocity of an object when one body is hanging freely and the other is lying on a rough horizontal plane, describing the motion of objects under the influence of friction and gravity and is represented as a_s = (m₁-μ_hs*m₂)/(m₁+m₂)*[g] or Acceleration of Body = (Mass of Left Body-Coefficient of Friction for Hanging String*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]. Mass of Left Body is the amount of matter in an object hanging from a string, which affects the motion of the system, Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string & Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.

How to calculate Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane?

Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane formula is defined as the rate of change of velocity of an object when one body is hanging freely and the other is lying on a rough horizontal plane, describing the motion of objects under the influence of friction and gravity is calculated using Acceleration of Body = (Mass of Left Body-Coefficient of Friction for Hanging String*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]. To calculate Acceleration of System with Bodies One Hanging Free and Other Lying on Rough Horizontal Plane, you need Mass of Left Body (m₁), Coefficient of Friction for Hanging String (μ_hs) & Mass of Right Body (m₂). With our tool, you need to enter the respective value for Mass of Left Body, Coefficient of Friction for Hanging String & Mass of Right Body 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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