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(θp))
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 described as the pulling force transmitted axially by the means of a string.
Mass of Left Body - (Measured in Kilogram) - Mass of Left Body is the measure of the quantity of matter that a body or an object contains.
Mass of Right Body - (Measured in Kilogram) - Mass of Right Body is the measure of the quantity of matter that a body or an object contains.
Inclination of Plane - (Measured in Radian) - The inclination of Plane is the angle a tilted ramp makes with the flat surface.
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(θp)) --> (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 00.004 seconds)

Credits

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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4 Body Lying on Smooth Inclined Plane Calculators

Angle of Inclination given Acceleration
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
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
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
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

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(θp))

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, The Tension in string when one body is lying on smooth inclined plane is the function of the masses of both bodies 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 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?
The Tension in string when one body is lying on smooth inclined plane is the function of the masses of both bodies and the angle of inclination of the plane and is represented as T = (m1*m2)/(m1+m2)*[g]*(1+sin(θp)) 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 measure of the quantity of matter that a body or an object contains, Mass of Right Body is the measure of the quantity of matter that a body or an object contains & The inclination of Plane is the angle a tilted ramp makes with the flat surface.
How to calculate Tension in String when One Body is Lying on Smooth Inclined Plane?
The Tension in string when one body is lying on smooth inclined plane is the function of the masses of both bodies 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 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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