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Mass of Body B given Frictional Force Formula

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Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations. Check FAQs

m 2 = \frac{F fri}{μ hs \cdot [g] \cdot \cos (θ p)}

m₂ - Mass of Right Body?F_fri - Force of Friction?μ_hs - Coefficient of Friction for Hanging String?θ_p - Inclination of Plane?[g] - Gravitational acceleration on Earth?

Mass of Body B given Frictional Force Example

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Here is how the Mass of Body B given Frictional Force equation looks like with Values.

Here is how the Mass of Body B given Frictional Force equation looks like with Units.

Here is how the Mass of Body B given Frictional Force equation looks like.

13.52 = \frac{30.9761}{0.24 \cdot 9.8066 \cdot \cos (13.23)}

13.52kg = \frac{30.9761N}{0.24 \cdot 9.8066m/s² \cdot \cos (13.23°)}

13.52 = \frac{30.9761}{0.24 \cdot 9.8066 \cdot \cos (13.23)}

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Mass of Body B given Frictional Force Solution

Follow our step by step solution on how to calculate Mass of Body B given Frictional Force?

FIRST Step Consider the formula

m 2 = \frac{F fri}{μ hs \cdot [g] \cdot \cos (θ p)}

Next Step Substitute values of Variables

∴

m 2 = \frac{30.9761N}{0.24 \cdot [g] \cdot \cos (13.23°)}

Next Step Substitute values of Constants

∴

m 2 = \frac{30.9761N}{0.24 \cdot 9.8066m/s² \cdot \cos (13.23°)}

Next Step Convert Units

∴

m 2 = \frac{30.9761N}{0.24 \cdot 9.8066m/s² \cdot \cos (0.2309rad)}

Next Step Prepare to Evaluate

∴

m 2 = \frac{30.9761}{0.24 \cdot 9.8066 \cdot \cos (0.2309)}

Next Step Evaluate

∴

m 2 = 13.5199985033811kg

LAST Step Rounding Answer

∴

m 2 = 13.52kg

Mass of Body B given Frictional Force Formula Elements

Variables

Constants

Functions

Mass of Right Body

Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.

Symbol: m₂

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Right Body

Force of Friction

Force of Friction is the force that opposes motion between two surfaces in contact, acting along the surface, when a body hangs by a string.

Symbol: F_fri

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force of Friction

Coefficient of Friction for Hanging String

Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string.

Symbol: μ_hs

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction for Hanging String

Inclination of Plane

Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.

Symbol: θ_p

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Inclination of Plane

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 Coefficient of Friction of Inclined Plane

T st = \frac{m 1 \cdot m 2}{m 1 + m 2} \cdot [g] \cdot (1 + \sin (θ p) + μ hs \cdot \cos (θ p))

Go Acceleration of System with Bodies One Hanging Free, Other Lying on Rough Inclined Plane

a i = \frac{m 1 - m 2 \cdot \sin (θ p) - μ hs \cdot m 2 \cdot \cos (θ p)}{m 1 + m 2} \cdot [g]

Go Coefficient of Friction given Tension

μ hs = \frac{m 1 + m 2}{m 1 \cdot m 1 \cdot [g]} \cdot T st \cdot \sec (θ b) - \tan (θ b) - \sec (θ b)

Go Frictional Force

F fri = μ hs \cdot m 2 \cdot [g] \cdot \cos (θ p)

How to Evaluate Mass of Body B given Frictional Force?

Mass of Body B given Frictional Force evaluator uses Mass of Right Body = Force of Friction/(Coefficient of Friction for Hanging String*[g]*cos(Inclination of Plane)) to evaluate the Mass of Right Body, Mass of Body B given Frictional Force formula is defined as a measure of the mass of an object on a horizontal surface, taking into account the frictional force, coefficient of static friction, acceleration due to gravity, and the angle of the plane. Mass of Right Body is denoted by m₂ symbol.

How to evaluate Mass of Body B given Frictional Force using this online evaluator? To use this online evaluator for Mass of Body B given Frictional Force, enter Force of Friction (F_fri), Coefficient of Friction for Hanging String (μ_hs) & Inclination of Plane (θ_p) and hit the calculate button.

FAQs on Mass of Body B given Frictional Force

What is the formula to find Mass of Body B given Frictional Force?

The formula of Mass of Body B given Frictional Force is expressed as Mass of Right Body = Force of Friction/(Coefficient of Friction for Hanging String*[g]*cos(Inclination of Plane)). Here is an example- 13.52 = 30.97607/(0.24*[g]*cos(0.230907060038806)).

How to calculate Mass of Body B given Frictional Force?

With Force of Friction (F_fri), Coefficient of Friction for Hanging String (μ_hs) & Inclination of Plane (θ_p) we can find Mass of Body B given Frictional Force using the formula - Mass of Right Body = Force of Friction/(Coefficient of Friction for Hanging String*[g]*cos(Inclination of Plane)). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

Can the Mass of Body B given Frictional Force be negative?

No, the Mass of Body B given Frictional Force, measured in Weight cannot be negative.

Which unit is used to measure Mass of Body B given Frictional Force?

Mass of Body B given Frictional Force is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Mass of Body B given Frictional Force can be measured.

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