Resultant of Two Forces acting on Particle with Angle Calculator

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✖First force acting on a object in th system of forces.ⓘ First Force [F₁]			+10% -10%
✖Second force acting on an object in th system of forces.ⓘ Second Force [F₂]			+10% -10%
✖Angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Angle [θ]			+10% -10%

✖Parallel Resultant Force, refers the forces act in a parallel arrangement, their resultant force can be found by adding up all the individual forces acting in the same direction.ⓘ Resultant of Two Forces acting on Particle with Angle [R_par]

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Resultant of Two Forces acting on Particle with Angle

Formula

`"R"_{"par"} = sqrt("F"_{"1"}^2+2*"F"_{"1"}*"F"_{"2"}*cos("θ")+"F"_{"2"}^2)`

Example

`"71.61157N"=sqrt(("60N")^2+2*"60N"*"12N"*cos("16°")+("12N")^2)`

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Resultant of Two Forces acting on Particle with Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Parallel Resultant Force = sqrt(First Force^2+2*First Force*Second Force*cos(Angle)+Second Force^2)
R_par = sqrt(F₁^2+2*F₁*F₂*cos(θ)+F₂^2)
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Parallel Resultant Force - (Measured in Newton) - Parallel Resultant Force, refers the forces act in a parallel arrangement, their resultant force can be found by adding up all the individual forces acting in the same direction.
First Force - (Measured in Newton) - First force acting on a object in th system of forces.
Second Force - (Measured in Newton) - Second force acting on an object in th system of forces.
Angle - (Measured in Radian) - Angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

First Force: 60 Newton --> 60 Newton No Conversion Required
Second Force: 12 Newton --> 12 Newton No Conversion Required
Angle: 16 Degree --> 0.27925268031904 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_par = sqrt(F₁^2+2*F₁*F₂*cos(θ)+F₂^2) --> sqrt(60^2+2*60*12*cos(0.27925268031904)+12^2)

Evaluating ... ...

R_par = 71.611569192074

STEP 3: Convert Result to Output's Unit

71.611569192074 Newton --> No Conversion Required

FINAL ANSWER

71.611569192074 ≈ 71.61157 Newton <-- Parallel Resultant Force

(Calculation completed in 00.006 seconds)

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< 14 Mechanics and Statistics of Materials Calculators

Inclination of Resultant of Two Forces Acting on Particle

Go Inclination of Resultant forces = atan((Second Force*sin(Angle))/(First Force+Second Force*cos(Angle)))

Resultant of Two Forces acting on Particle with Angle

Go Parallel Resultant Force = sqrt(First Force^2+2*First Force*Second Force*cos(Angle)+Second Force^2)

Radius of gyration given moment of inertia and area

Go Radius of Gyration = sqrt(Rotational Inertia/Area of Cross-Section)

Resolution of Force with Angle along Horizontal Direction

Go Horizontal Component of Force = Force at Angle*cos(Angle)

Resolution of Force with Angle along Vertical Direction

Go Vertical component of force = Force at Angle*sin(Angle)

Resultant of Two Forces Acting on Particle at 90 Degrees

Go Resultant force = sqrt(First Force^2+Second Force^2)

Moment of Force

Go Moment of force = Force*Perpendicular Distance between Force and Point

Moment of Couple

Go Moment of Couple = Force*Perpendicular Distance between Two Forces

Moment of inertia given radius of gyration

Go Rotational Inertia = Area of Cross-Section*Radius of Gyration^2

Resultant of Two Forces Acting on Particle at 0 Degrees

Go Parallel Resultant Force = First Force+Second Force

Moment of inertia of circle about diametrical axis

Go Rotational Inertia = (pi*Diameter of Circle^4)/64

Resultant of Two like Parallel Forces

Go Parallel Resultant Force = First Force+Second Force

Resultant of Two Unlike Parallel Forces Unequal in Magnitude

Go Resultant force = First Force-Second Force

Resultant of Two Forces Acting on Particle at 180 Degrees

Go Resultant force = First Force-Second Force

Resultant of Two Forces acting on Particle with Angle Formula

Parallel Resultant Force = sqrt(First Force^2+2*First Force*Second Force*cos(Angle)+Second Force^2)
R_par = sqrt(F₁^2+2*F₁*F₂*cos(θ)+F₂^2)

What is resultant?

Resultant force is the single force and associated torque obtained by combining a system of forces and torques acting on a rigid body.

How to Calculate Resultant of Two Forces acting on Particle with Angle?

Resultant of Two Forces acting on Particle with Angle calculator uses Parallel Resultant Force = sqrt(First Force^2+2*First Force*Second Force*cos(Angle)+Second Force^2) to calculate the Parallel Resultant Force, The Resultant of Two Forces acting on Particle with Angle formula is the square root of sum of square of first force, square of second force and twice the product of first force, second force and cos(θ). Parallel Resultant Force is denoted by R_par symbol.

How to calculate Resultant of Two Forces acting on Particle with Angle using this online calculator? To use this online calculator for Resultant of Two Forces acting on Particle with Angle, enter First Force (F₁), Second Force (F₂) & Angle (θ) and hit the calculate button. Here is how the Resultant of Two Forces acting on Particle with Angle calculation can be explained with given input values -> 71.61157 = sqrt(60^2+2*60*12*cos(0.27925268031904)+12^2).

FAQ

What is Resultant of Two Forces acting on Particle with Angle?

The Resultant of Two Forces acting on Particle with Angle formula is the square root of sum of square of first force, square of second force and twice the product of first force, second force and cos(θ) and is represented as R_par = sqrt(F₁^2+2*F₁*F₂*cos(θ)+F₂^2) or Parallel Resultant Force = sqrt(First Force^2+2*First Force*Second Force*cos(Angle)+Second Force^2). First force acting on a object in th system of forces, Second force acting on an object in th system of forces & Angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Resultant of Two Forces acting on Particle with Angle?

The Resultant of Two Forces acting on Particle with Angle formula is the square root of sum of square of first force, square of second force and twice the product of first force, second force and cos(θ) is calculated using Parallel Resultant Force = sqrt(First Force^2+2*First Force*Second Force*cos(Angle)+Second Force^2). To calculate Resultant of Two Forces acting on Particle with Angle, you need First Force (F₁), Second Force (F₂) & Angle (θ). With our tool, you need to enter the respective value for First Force, Second Force & Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Parallel Resultant Force?

In this formula, Parallel Resultant Force uses First Force, Second Force & Angle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Parallel Resultant Force = First Force+Second Force
Parallel Resultant Force = First Force+Second Force

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