Tension in String 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%
✖Minimum Acceleration of Body in Motion is the lowest rate of change of velocity of an object connected to another object by a string.ⓘ Minimum Acceleration of Body in Motion [a_min]			+10% -10%

✖Tension of String in Body A is the force exerted by the string on Body A when it is in motion, affecting its acceleration and movement.ⓘ Tension in String given Mass of Body A [T_a]

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Tension in String given Mass of Body A Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T_a = m_a*([g]*sin(α₁)-μ_cm*[g]*cos(α₁)-a_min)
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

Tension of String in Body A - (Measured in Newton) - Tension of String in Body A is the force exerted by the string on Body A when it is in motion, affecting its acceleration and movement.
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.
Minimum Acceleration of Body in Motion - (Measured in Meter per Square Second) - Minimum Acceleration of Body in Motion is the lowest rate of change of velocity of an object connected to another object by 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
Minimum Acceleration of Body in Motion: 0.5 Meter per Square Second --> 0.5 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_a = m_a*([g]*sin(α₁)-μ_cm*[g]*cos(α₁)-a_min) --> 29.1*([g]*sin(0.59341194567796)-0.2*[g]*cos(0.59341194567796)-0.5)

Evaluating ... ...

T_a = 97.7117711970527

STEP 3: Convert Result to Output's Unit

97.7117711970527 Newton --> No Conversion Required

FINAL ANSWER

97.7117711970527 ≈ 97.71177 Newton <-- Tension of String in Body A

(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 » Tension in String 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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< 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)

Tension in String given Mass of Body A Formula

LaTeX Go

Which Friction is to be considered for a Body in Motion?

Once the motion has started, static friction cannot be considered. A new type of friction termed as kinetic friction comes into play.

How to Calculate Tension in String given Mass of Body A?

Tension in String given Mass of Body A calculator uses 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) to calculate the Tension of String in Body A, Tension in String given Mass of Body A formula is defined as a measure of the force exerted by the string on an object, specifically Body A, which is influenced by the mass of Body A, gravitational acceleration, angle of inclination, and the coefficient of kinetic friction, providing a comprehensive understanding of the string's tension in various physical scenarios. Tension of String in Body A is denoted by T_a symbol.

How to calculate Tension in String given Mass of Body A using this online calculator? To use this online calculator for Tension in String given Mass of Body A, enter Mass of Body A (m_a), Inclination of Plane 1 (α₁), Coefficient of Friction (μ_cm) & Minimum Acceleration of Body in Motion (a_min) and hit the calculate button. Here is how the Tension in String given Mass of Body A calculation can be explained with given input values -> 97.71177 = 29.1*([g]*sin(0.59341194567796)-0.2*[g]*cos(0.59341194567796)-0.5).

FAQ

What is Tension in String given Mass of Body A?

Tension in String given Mass of Body A formula is defined as a measure of the force exerted by the string on an object, specifically Body A, which is influenced by the mass of Body A, gravitational acceleration, angle of inclination, and the coefficient of kinetic friction, providing a comprehensive understanding of the string's tension in various physical scenarios and is represented as T_a = m_a*([g]*sin(α₁)-μ_cm*[g]*cos(α₁)-a_min) or 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). 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 & Minimum Acceleration of Body in Motion is the lowest rate of change of velocity of an object connected to another object by a string.

How to calculate Tension in String given Mass of Body A?

Tension in String given Mass of Body A formula is defined as a measure of the force exerted by the string on an object, specifically Body A, which is influenced by the mass of Body A, gravitational acceleration, angle of inclination, and the coefficient of kinetic friction, providing a comprehensive understanding of the string's tension in various physical scenarios is calculated using 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). To calculate Tension in String given Mass of Body A, you need Mass of Body A (m_a), Inclination of Plane 1 (α₁), Coefficient of Friction (μ_cm) & Minimum Acceleration of Body in Motion (a_min). With our tool, you need to enter the respective value for Mass of Body A, Inclination of Plane 1, Coefficient of Friction & Minimum Acceleration of Body in Motion 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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