Tension in String when One Body is Lying on Smooth Inclined 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%
✖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%
✖Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.ⓘ Inclination of Plane [θ_p]			+10% -10%

✖Tension is the force exerted by a string on an object, such as a body, when it is hanging or suspended from a fixed point.ⓘ Tension in String when One Body is Lying on Smooth Inclined Plane [T]

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Tension in String when One Body is Lying on Smooth Inclined Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tension = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]*(1+sin(Inclination of Plane))
T = (m₁*m₂)/(m₁+m₂)*[g]*(1+sin(θ_p))
This formula uses 1 Constants, 1 Functions, 4 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)

Variables Used

Tension - (Measured in Newton) - Tension is the force exerted by a string on an object, such as a body, when it is hanging or suspended from a fixed point.
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.
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.
Inclination of Plane - (Measured in Radian) - Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.

STEP 1: Convert Input(s) to Base Unit

Mass of Left Body: 29 Kilogram --> 29 Kilogram No Conversion Required
Mass of Right Body: 13.52 Kilogram --> 13.52 Kilogram No Conversion Required
Inclination of Plane: 13.23 Degree --> 0.230907060038806 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (m₁*m₂)/(m₁+m₂)*[g]*(1+sin(θ_p)) --> (29*13.52)/(29+13.52)*[g]*(1+sin(0.230907060038806))

Evaluating ... ...

T = 111.123197759186

STEP 3: Convert Result to Output's Unit

111.123197759186 Newton --> No Conversion Required

FINAL ANSWER

111.123197759186 ≈ 111.1232 Newton <-- Tension

(Calculation completed in 00.036 seconds)

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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 Smooth Inclined Plane Calculators

Angle of Inclination given Acceleration

LaTeX Go Inclination of Plane = asin((Mass of Left Body*[g]-Mass of Left Body*Acceleration of Body-Mass of Right Body*Acceleration of Body)/(Mass of Right Body*[g]))

Acceleration of System with Bodies One Hanging Free and Other Lying on Smooth Inclined Plane

LaTeX Go Acceleration of Body = (Mass of Left Body-Mass of Right Body*sin(Inclination of Plane))/(Mass of Left Body+Mass of Right Body)*[g]

Angle of Inclination given Tension

LaTeX Go Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1)

Tension in String when One Body is Lying on Smooth Inclined Plane

LaTeX Go Tension = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]*(1+sin(Inclination of Plane))

Tension in String when One Body is Lying on Smooth Inclined Plane Formula

LaTeX Go

Tension = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]*(1+sin(Inclination of Plane))
T = (m₁*m₂)/(m₁+m₂)*[g]*(1+sin(θ_p))

What is Inclined Plane in Physics?

In physics, a tilted surface is called an inclined plane. Objects are known to accelerate down inclined planes because of an unbalanced force. To understand this type of motion, it is important to analyze the forces acting upon an object on an inclined plane.

How to Calculate Tension in String when One Body is Lying on Smooth Inclined Plane?

Tension in String when One Body is Lying on Smooth Inclined Plane calculator uses Tension = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]*(1+sin(Inclination of Plane)) to calculate the Tension, Tension in String when One Body is Lying on Smooth Inclined Plane formula is defined as the force exerted by the string on the body when it is placed on a smooth inclined plane, which depends on the masses of the body and the string, the acceleration due to gravity, and the angle of inclination of the plane. Tension is denoted by T symbol.

How to calculate Tension in String when One Body is Lying on Smooth Inclined Plane using this online calculator? To use this online calculator for Tension in String when One Body is Lying on Smooth Inclined Plane, enter Mass of Left Body (m₁), Mass of Right Body (m₂) & Inclination of Plane (θ_p) and hit the calculate button. Here is how the Tension in String when One Body is Lying on Smooth Inclined Plane calculation can be explained with given input values -> 111.1232 = (29*13.52)/(29+13.52)*[g]*(1+sin(0.230907060038806)).

FAQ

What is Tension in String when One Body is Lying on Smooth Inclined Plane?

Tension in String when One Body is Lying on Smooth Inclined Plane formula is defined as the force exerted by the string on the body when it is placed on a smooth inclined plane, which depends on the masses of the body and the string, the acceleration due to gravity, and the angle of inclination of the plane and is represented as T = (m₁*m₂)/(m₁+m₂)*[g]*(1+sin(θ_p)) or Tension = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]*(1+sin(Inclination of Plane)). 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 Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations & Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.

How to calculate Tension in String when One Body is Lying on Smooth Inclined Plane?

Tension in String when One Body is Lying on Smooth Inclined Plane formula is defined as the force exerted by the string on the body when it is placed on a smooth inclined plane, which depends on the masses of the body and the string, the acceleration due to gravity, and the angle of inclination of the plane is calculated using Tension = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]*(1+sin(Inclination of Plane)). To calculate Tension in String when One Body is Lying on Smooth Inclined Plane, you need Mass of Left Body (m₁), Mass of Right Body (m₂) & Inclination of Plane (θ_p). With our tool, you need to enter the respective value for Mass of Left Body, Mass of Right Body & Inclination of Plane 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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