Tension in String if Both Bodies are Lying on Smooth Inclined Planes 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%
✖Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.ⓘ Mass of Body B [m_b]			+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%
✖Inclination of Plane 2 is the angle between the plane of motion of the second body and the horizontal plane in a connected system.ⓘ Inclination of Plane 2 [α₂]			+10% -10%

✖Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.ⓘ Tension in String if Both Bodies are Lying on Smooth Inclined Planes [T]

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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 = (m_a*m_b)/(m_a+m_b)*[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 the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.
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.
Mass of Body B - (Measured in Kilogram) - Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.
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.
Inclination of Plane 2 - (Measured in Radian) - Inclination of Plane 2 is the angle between the plane of motion of the second body and the horizontal plane in a connected system.

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 = (m_a*m_b)/(m_a+m_b)*[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)

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Home » Physics » Mechanics » Types of Motion » Motion in Bodies Connected by Strings » Mechanical » Body Lying on Smooth Inclined Plane » Tension in String if Both Bodies are Lying on Smooth Inclined Planes

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Created by Vinay Mishra

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

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Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< Body Lying on Smooth Inclined Plane Calculators

Acceleration of System with Bodies Connected by String and Lying on Smooth Inclined Planes

LaTeX 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

LaTeX 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 A

LaTeX 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]))

Angle of Inclination of Plane with Body B

LaTeX 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]))

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

LaTeX 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))
T = (m_a*m_b)/(m_a+m_b)*[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, Tension in String if Both Bodies are Lying on Smooth Inclined Planes formula is defined as the measure of the force exerted by the string on the two bodies lying on smooth inclined planes, which is influenced by the masses of the bodies and the angles of inclination of the 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 (m_a), Mass of Body B (m_b), Inclination of Plane 1 (α₁) & Inclination of Plane 2 (α₂) 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 -> 14.45253 = (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?

Tension in String if Both Bodies are Lying on Smooth Inclined Planes formula is defined as the measure of the force exerted by the string on the two bodies lying on smooth inclined planes, which is influenced by the masses of the bodies and the angles of inclination of the planes and is represented as T = (m_a*m_b)/(m_a+m_b)*[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 amount of matter in an object, a measure of its resistance to changes in its motion, Mass of Body B is the quantity of matter in an object connected to another body through a string or cord, 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 2 is the angle between the plane of motion of the second body and the horizontal plane in a connected system.

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 formula is defined as the measure of the force exerted by the string on the two bodies lying on smooth inclined planes, which is influenced by the masses of the bodies and the angles of inclination of the 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 (m_a), Mass of Body B (m_b), Inclination of Plane 1 (α₁) & Inclination of Plane 2 (α₂). 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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