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Resultant of Two Forces acting on Particle with Angle Formula

GoResultant of Two Forces Acting on Particle at 0 Degrees Formula

GoResultant of Two like Parallel Forces Formula

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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. Check FAQs

R par = \sqrt{{F 1}^{2} + 2 \cdot F 1 \cdot F 2 \cdot \cos (θ) + {F 2}^{2}}

R_par - Parallel Resultant Force?F₁ - First Force?F₂ - Second Force?θ - Angle?

Resultant of Two Forces acting on Particle with Angle Example

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Here is how the Resultant of Two Forces acting on Particle with Angle equation looks like with Values.

Here is how the Resultant of Two Forces acting on Particle with Angle equation looks like with Units.

Here is how the Resultant of Two Forces acting on Particle with Angle equation looks like.

71.6116 = \sqrt{60^{2} + 2 \cdot 60 \cdot 12 \cdot \cos (16) + 12^{2}}

71.6116N = \sqrt{{60N}^{2} + 2 \cdot 60N \cdot 12N \cdot \cos (16°) + {12N}^{2}}

71.6116 = \sqrt{60^{2} + 2 \cdot 60 \cdot 12 \cdot \cos (16) + 12^{2}}

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Resultant of Two Forces acting on Particle with Angle Solution

Follow our step by step solution on how to calculate Resultant of Two Forces acting on Particle with Angle?

FIRST Step Consider the formula

R par = \sqrt{{F 1}^{2} + 2 \cdot F 1 \cdot F 2 \cdot \cos (θ) + {F 2}^{2}}

Next Step Substitute values of Variables

∴

R par = \sqrt{{60N}^{2} + 2 \cdot 60N \cdot 12N \cdot \cos (16°) + {12N}^{2}}

Next Step Convert Units

∴

R par = \sqrt{{60N}^{2} + 2 \cdot 60N \cdot 12N \cdot \cos (0.2793rad) + {12N}^{2}}

Next Step Prepare to Evaluate

∴

R par = \sqrt{60^{2} + 2 \cdot 60 \cdot 12 \cdot \cos (0.2793) + 12^{2}}

Next Step Evaluate

∴

R par = 71.611569192074N

LAST Step Rounding Answer

∴

R par = 71.6116N

Resultant of Two Forces acting on Particle with Angle Formula Elements

Variables

Functions

Parallel Resultant Force

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.

Symbol: R_par

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Parallel Resultant Force

First Force

First force acting on a object in th system of forces.

Symbol: F₁

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find First Force

Second Force

Second force acting on an object in th system of forces.

Symbol: F₂

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Second Force

Angle

Angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: 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.

Syntax: sqrt(Number)

Other Formulas to find Parallel Resultant Force

Go Resultant of Two Forces Acting on Particle at 0 Degrees

R par = F 1 + F 2

Go Resultant of Two like Parallel Forces

R par = F 1 + F 2

Other formulas in Mechanics and Statistics of Materials category

Go Radius of gyration given moment of inertia and area

k G = \sqrt{\frac{I r}{A}}

Go Moment of inertia given radius of gyration

I r = A \cdot {k G}^{2}

Go Moment of inertia of circle about diametrical axis

I r = \frac{π \cdot d^{4}}{64}

Go Inclination of Resultant of Two Forces Acting on Particle

α = a \tan (\frac{F 2 \cdot \sin (θ)}{F 1 + F 2 \cdot \cos (θ)})

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

Resultant of Two Forces acting on Particle with Angle evaluator uses Parallel Resultant Force = sqrt(First Force^2+2*First Force*Second Force*cos(Angle)+Second Force^2) to evaluate 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 evaluate Resultant of Two Forces acting on Particle with Angle using this online evaluator? To use this online evaluator for Resultant of Two Forces acting on Particle with Angle, enter First Force (F₁), Second Force (F₂) & Angle (θ) and hit the calculate button.

FAQs on Resultant of Two Forces acting on Particle with Angle

What is the formula to find Resultant of Two Forces acting on Particle with Angle?

The formula of Resultant of Two Forces acting on Particle with Angle is expressed as Parallel Resultant Force = sqrt(First Force^2+2*First Force*Second Force*cos(Angle)+Second Force^2). Here is an example- 71.61157 = sqrt(60^2+2*60*12*cos(0.27925268031904)+12^2).

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

With First Force (F₁), Second Force (F₂) & Angle (θ) we can find Resultant of Two Forces acting on Particle with Angle using the formula - Parallel Resultant Force = sqrt(First Force^2+2*First Force*Second Force*cos(Angle)+Second Force^2). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Parallel Resultant Force?

Here are the different ways to Calculate Parallel Resultant Force-

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

Can the Resultant of Two Forces acting on Particle with Angle be negative?

Yes, the Resultant of Two Forces acting on Particle with Angle, measured in Force can be negative.

Which unit is used to measure Resultant of Two Forces acting on Particle with Angle?

Resultant of Two Forces acting on Particle with Angle is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Resultant of Two Forces acting on Particle with Angle can be measured.

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Resultant of Two Forces acting on Particle with Angle Formula

​GoResultant of Two Forces Acting on Particle at 0 Degrees Formula

​GoResultant of Two like Parallel Forces Formula

Resultant of Two Forces acting on Particle with Angle Example

Resultant of Two Forces acting on Particle with Angle Solution

Resultant of Two Forces acting on Particle with Angle Formula Elements

Other Formulas to find Parallel Resultant Force

Other formulas in Mechanics and Statistics of Materials category

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

FAQs on Resultant of Two Forces acting on Particle with Angle

Variable Name

GoResultant of Two Forces Acting on Particle at 0 Degrees Formula

GoResultant of Two like Parallel Forces Formula