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Displacement of Body given Stiffness of Constraint Formula

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Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations. Check FAQs

s body = \frac{W attached \cdot a}{s constrain}

s_body - Displacement of Body?W_attached - Load Attached to Free End of Constraint?a - Acceleration of Body?s_constrain - Stiffness of Constraint?

Displacement of Body given Stiffness of Constraint Example

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Here is how the Displacement of Body given Stiffness of Constraint equation looks like with Values.

Here is how the Displacement of Body given Stiffness of Constraint equation looks like with Units.

Here is how the Displacement of Body given Stiffness of Constraint equation looks like.

0.75 = \frac{0.52 \cdot 18.75}{13}

0.75m = \frac{0.52kg \cdot 18.75m/s²}{13N/m}

0.75 = \frac{0.52 \cdot 18.75}{13}

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Displacement of Body given Stiffness of Constraint Solution

Follow our step by step solution on how to calculate Displacement of Body given Stiffness of Constraint?

FIRST Step Consider the formula

s body = \frac{W attached \cdot a}{s constrain}

Next Step Substitute values of Variables

∴

s body = \frac{0.52kg \cdot 18.75m/s²}{13N/m}

Next Step Prepare to Evaluate

∴

s body = \frac{0.52 \cdot 18.75}{13}

LAST Step Evaluate

∴

s body = 0.75m

Displacement of Body given Stiffness of Constraint Formula Elements

Variables

Displacement of Body

Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations.

Symbol: s_body

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Body

Load Attached to Free End of Constraint

Load Attached to Free End of Constraint is the force exerted on the free end of a constraint, affecting natural frequency of free longitudinal vibrations.

Symbol: W_attached

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Load Attached to Free End of Constraint

Acceleration of Body

Acceleration of Body is the rate of change of velocity of an object in free longitudinal vibrations, measured in meters per second squared.

Symbol: a

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration of Body

Stiffness of Constraint

Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations.

Symbol: s_constrain

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Constraint

Other formulas in Equilibrium Method category

Go Gravitational Pull Balanced by Spring Force

W = s constrain \cdot δ

Go Restoring Force

F re = - s constrain \cdot s body

Go Acceleration of Body given Stiffness of Constraint

a = \frac{s constrain \cdot s body}{W attached}

Go Angular Velocity of Free Longitudinal Vibrations

ω = \sqrt{\frac{s constrain}{m spring}}

How to Evaluate Displacement of Body given Stiffness of Constraint?

Displacement of Body given Stiffness of Constraint evaluator uses Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint to evaluate the Displacement of Body, Displacement of Body given Stiffness of Constraint formula is defined as a measure of the distance moved by a body from its equilibrium position when a force is applied, taking into account the stiffness of the constraint that opposes the motion, which is essential in understanding the natural frequency of free longitudinal vibrations. Displacement of Body is denoted by s_body symbol.

How to evaluate Displacement of Body given Stiffness of Constraint using this online evaluator? To use this online evaluator for Displacement of Body given Stiffness of Constraint, enter Load Attached to Free End of Constraint (W_attached), Acceleration of Body (a) & Stiffness of Constraint (s_constrain) and hit the calculate button.

FAQs on Displacement of Body given Stiffness of Constraint

What is the formula to find Displacement of Body given Stiffness of Constraint?

The formula of Displacement of Body given Stiffness of Constraint is expressed as Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint. Here is an example- 0.192 = (0.52*18.75)/13.

How to calculate Displacement of Body given Stiffness of Constraint?

With Load Attached to Free End of Constraint (W_attached), Acceleration of Body (a) & Stiffness of Constraint (s_constrain) we can find Displacement of Body given Stiffness of Constraint using the formula - Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint.

Can the Displacement of Body given Stiffness of Constraint be negative?

Yes, the Displacement of Body given Stiffness of Constraint, measured in Length can be negative.

Which unit is used to measure Displacement of Body given Stiffness of Constraint?

Displacement of Body given Stiffness of Constraint is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Displacement of Body given Stiffness of Constraint can be measured.

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