Tension in String if Both Bodies are Lying on Smooth Inclined Planes Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tension of String = (Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]*(sin(Inclination of Plane 1)+sin(Inclination of Plane 2))
T = (ma*mb)/(ma+mb)*[g]*(sin(α1)+sin(α2))
This formula uses 1 Constants, 1 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)
Variables Used
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 A - (Measured in Kilogram) - Mass of Body A is the measure of the quantity of matter that a body or an object contains.
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 1 - (Measured in Radian) - Inclination of Plane 1 is the angle of inclination of a plane measured clockwise from the reference horizontal line.
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.
STEP 1: Convert Input(s) to Base Unit
Mass of Body A: 29.1 Kilogram --> 29.1 Kilogram No Conversion Required
Mass of Body B: 1.11 Kilogram --> 1.11 Kilogram No Conversion Required
Inclination of Plane 1: 34 Degree --> 0.59341194567796 Radian (Check conversion here)
Inclination of Plane 2: 55 Degree --> 0.959931088596701 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = (ma*mb)/(ma+mb)*[g]*(sin(α1)+sin(α2)) --> (29.1*1.11)/(29.1+1.11)*[g]*(sin(0.59341194567796)+sin(0.959931088596701))
Evaluating ... ...
T = 14.4525285770719
STEP 3: Convert Result to Output's Unit
14.4525285770719 Newton --> No Conversion Required
FINAL ANSWER
14.4525285770719 14.45253 Newton <-- Tension of String
(Calculation completed in 00.004 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 Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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4 Body Lying on Smooth Inclined Plane Calculators

Acceleration of System with Bodies Connected by String and Lying on Smooth Inclined Planes
Go Acceleration of Body in Motion = (Mass of Body A*sin(Angle of Inclination with Body A)-Mass of Body B*sin(Angle of Inclination with Body B))/(Mass of Body A+Mass of Body B)*[g]
Tension in String if Both Bodies are Lying on Smooth Inclined Planes
Go Tension of String = (Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]*(sin(Inclination of Plane 1)+sin(Inclination of Plane 2))
Angle of Inclination of Plane with Body B
Go Angle of Inclination with Body B = asin((Tension of String-Mass of Body B*Acceleration of Body in Motion)/(Mass of Body B*[g]))
Angle of Inclination of Plane with Body A
Go Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g]))

Tension in String if Both Bodies are Lying on Smooth Inclined Planes Formula

Tension of String = (Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]*(sin(Inclination of Plane 1)+sin(Inclination of Plane 2))
T = (ma*mb)/(ma+mb)*[g]*(sin(α1)+sin(α2))

What is limiting friction?

Limiting friction is the highest value of static friction which comes into play when an object is just about to slide over the surface of a different object. For an exerted external force greater than the limiting friction, the body begins to move.

How to Calculate Tension in String if Both Bodies are Lying on Smooth Inclined Planes?

Tension in String if Both Bodies are Lying on Smooth Inclined Planes calculator uses Tension of String = (Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]*(sin(Inclination of Plane 1)+sin(Inclination of Plane 2)) to calculate the Tension of String, The Tension in string if both bodies are lying on smooth inclined planes, is the function of the masses of both bodies and the angle of inclination of both planes. Tension of String is denoted by T symbol.

How to calculate Tension in String if Both Bodies are Lying on Smooth Inclined Planes using this online calculator? To use this online calculator for Tension in String if Both Bodies are Lying on Smooth Inclined Planes, enter Mass of Body A (ma), Mass of Body B (mb), Inclination of Plane 1 1) & Inclination of Plane 2 2) and hit the calculate button. Here is how the Tension in String if Both Bodies are Lying on Smooth Inclined Planes calculation can be explained with given input values -> 16.30647 = (29.1*1.11)/(29.1+1.11)*[g]*(sin(0.59341194567796)+sin(0.959931088596701)).

FAQ

What is Tension in String if Both Bodies are Lying on Smooth Inclined Planes?
The Tension in string if both bodies are lying on smooth inclined planes, is the function of the masses of both bodies and the angle of inclination of both planes and is represented as T = (ma*mb)/(ma+mb)*[g]*(sin(α1)+sin(α2)) or Tension of String = (Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]*(sin(Inclination of Plane 1)+sin(Inclination of Plane 2)). Mass of Body A is the measure of the quantity of matter that a body or an object contains, Mass of Body B is the measure of the quantity of matter that a body or an object contains, Inclination of Plane 1 is the angle of inclination of a plane measured clockwise from the reference horizontal line & Inclination of Plane 2 is the angle of inclination of a plane measured anticlockwise from the reference horizontal line.
How to calculate Tension in String if Both Bodies are Lying on Smooth Inclined Planes?
The Tension in string if both bodies are lying on smooth inclined planes, is the function of the masses of both bodies and the angle of inclination of both planes is calculated using Tension of String = (Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]*(sin(Inclination of Plane 1)+sin(Inclination of Plane 2)). To calculate Tension in String if Both Bodies are Lying on Smooth Inclined Planes, you need Mass of Body A (ma), Mass of Body B (mb), Inclination of Plane 1 1) & Inclination of Plane 2 2). With our tool, you need to enter the respective value for Mass of Body A, Mass of Body B, Inclination of Plane 1 & Inclination of Plane 2 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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