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Frictional Force on Body A Formula

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Frictional Force A is the force that opposes motion between two surfaces in contact, affecting the motion of bodies connected by strings. Check FAQs

F A = μ cm \cdot m a \cdot [g] \cdot \cos (α 1)

F_A - Frictional Force A?μ_cm - Coefficient of Friction?m_a - Mass of Body A?α₁ - Inclination of Plane 1?[g] - Gravitational acceleration on Earth?

Frictional Force on Body A Example

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Here is how the Frictional Force on Body A equation looks like with Values.

Here is how the Frictional Force on Body A equation looks like with Units.

Here is how the Frictional Force on Body A equation looks like.

47.3171 = 0.2 \cdot 29.1 \cdot 9.8066 \cdot \cos (34)

47.3171N = 0.2 \cdot 29.1kg \cdot 9.8066m/s² \cdot \cos (34°)

47.3171 = 0.2 \cdot 29.1 \cdot 9.8066 \cdot \cos (34)

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Frictional Force on Body A Solution

Follow our step by step solution on how to calculate Frictional Force on Body A?

FIRST Step Consider the formula

F A = μ cm \cdot m a \cdot [g] \cdot \cos (α 1)

Next Step Substitute values of Variables

∴

F A = 0.2 \cdot 29.1kg \cdot [g] \cdot \cos (34°)

Next Step Substitute values of Constants

∴

F A = 0.2 \cdot 29.1kg \cdot 9.8066m/s² \cdot \cos (34°)

Next Step Convert Units

∴

F A = 0.2 \cdot 29.1kg \cdot 9.8066m/s² \cdot \cos (0.5934rad)

Next Step Prepare to Evaluate

∴

F A = 0.2 \cdot 29.1 \cdot 9.8066 \cdot \cos (0.5934)

Next Step Evaluate

∴

F A = 47.3170732294235N

LAST Step Rounding Answer

∴

F A = 47.3171N

Frictional Force on Body A Formula Elements

Variables

Constants

Functions

Frictional Force A

Frictional Force A is the force that opposes motion between two surfaces in contact, affecting the motion of bodies connected by strings.

Symbol: F_A

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Frictional Force A

Coefficient of Friction

Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces to the normal force pressing them together.

Symbol: μ_cm

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction

Mass of Body A

Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion.

Symbol: m_a

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Body A

Inclination of Plane 1

Inclination of Plane 1 is the angle between the plane and the horizontal surface in a system of bodies connected by strings.

Symbol: α₁

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Inclination of Plane 1

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

cos

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

Syntax: cos(Angle)

Other formulas in Body Lying on Rough Inclined Plane category

Go Tension in String given Mass of Body A

T a = m a \cdot ([g] \cdot \sin (α 1) - μ cm \cdot [g] \cdot \cos (α 1) - a min)

Go Tension in String given Mass of Body B

T b = m b \cdot ([g] \cdot \sin (α 2) + μ cm \cdot [g] \cdot \cos (α 2) + a mb)

Go Acceleration of System given Mass of Body A

a mb = \frac{m a \cdot [g] \cdot \sin (α 1) - μ cm \cdot m a \cdot [g] \cdot \cos (α 1) - T}{m a}

Go Acceleration of System given Mass of Body B

a mb = \frac{T - m b \cdot [g] \cdot \sin (α 2) - μ cm \cdot m b \cdot [g] \cdot \cos (α 2)}{m b}

How to Evaluate Frictional Force on Body A?

Frictional Force on Body A evaluator uses Frictional Force A = Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1) to evaluate the Frictional Force A, Frictional Force on Body A formula is defined as the measure of the force exerted by a surface on an object as it moves or tries to move along that surface, opposing the motion, and is influenced by the coefficient of maximum static friction, mass of the object, acceleration due to gravity, and the angle of inclination. Frictional Force A is denoted by F_A symbol.

How to evaluate Frictional Force on Body A using this online evaluator? To use this online evaluator for Frictional Force on Body A, enter Coefficient of Friction (μ_cm), Mass of Body A (m_a) & Inclination of Plane 1 (α₁) and hit the calculate button.

FAQs on Frictional Force on Body A

What is the formula to find Frictional Force on Body A?

The formula of Frictional Force on Body A is expressed as Frictional Force A = Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1). Here is an example- 47.31707 = 0.2*29.1*[g]*cos(0.59341194567796).

How to calculate Frictional Force on Body A?

With Coefficient of Friction (μ_cm), Mass of Body A (m_a) & Inclination of Plane 1 (α₁) we can find Frictional Force on Body A using the formula - Frictional Force A = Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

Can the Frictional Force on Body A be negative?

No, the Frictional Force on Body A, measured in Force cannot be negative.

Which unit is used to measure Frictional Force on Body A?

Frictional Force on Body A is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Frictional Force on Body A can be measured.

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