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Total Mass of Constraint for Longitudinal Vibration Formula

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Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia. Check FAQs

m c = \frac{6 \cdot KE}{{V longitudinal}^{2}}

m_c - Total Mass of Constraint?KE - Kinetic Energy?V_longitudinal - Longitudinal Velocity of Free End?

Total Mass of Constraint for Longitudinal Vibration Example

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Here is how the Total Mass of Constraint for Longitudinal Vibration equation looks like with Values.

Here is how the Total Mass of Constraint for Longitudinal Vibration equation looks like with Units.

Here is how the Total Mass of Constraint for Longitudinal Vibration equation looks like.

28.125 = \frac{6 \cdot 75}{4^{2}}

28.125kg = \frac{6 \cdot 75J}{{4m/s}^{2}}

28.125 = \frac{6 \cdot 75}{4^{2}}

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Total Mass of Constraint for Longitudinal Vibration Solution

Follow our step by step solution on how to calculate Total Mass of Constraint for Longitudinal Vibration?

FIRST Step Consider the formula

m c = \frac{6 \cdot KE}{{V longitudinal}^{2}}

Next Step Substitute values of Variables

∴

m c = \frac{6 \cdot 75J}{{4m/s}^{2}}

Next Step Prepare to Evaluate

∴

m c = \frac{6 \cdot 75}{4^{2}}

LAST Step Evaluate

∴

m c = 28.125kg

Total Mass of Constraint for Longitudinal Vibration Formula Elements

Variables

Total Mass of Constraint

Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia.

Symbol: m_c

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Total Mass of Constraint

Kinetic Energy

Kinetic Energy is the energy of motion of an object, influenced by the inertia of constraint in longitudinal and transverse vibrations, affecting its oscillatory behavior.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic Energy

Longitudinal Velocity of Free End

Longitudinal Velocity of Free End is the velocity of the free end of a vibrating system, affected by the inertia of constraints in longitudinal and transverse vibrations.

Symbol: V_longitudinal

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Longitudinal Velocity of Free End

Other formulas in Longitudinal Vibration category

Go Velocity of Small Element for Longitudinal Vibration

v s = \frac{x \cdot V longitudinal}{l}

Go Total Kinetic Energy of Constraint in Longitudinal Vibration

KE = \frac{m c \cdot {V longitudinal}^{2}}{6}

Go Longitudinal Velocity of Free End for Longitudinal Vibration

V longitudinal = \sqrt{\frac{6 \cdot KE}{m c}}

Go Natural Frequency of Longitudinal Vibration

f = \sqrt{\frac{s constrain}{W attached + \frac{m c}{3}}} \cdot \frac{1}{2 \cdot π}

How to Evaluate Total Mass of Constraint for Longitudinal Vibration?

Total Mass of Constraint for Longitudinal Vibration evaluator uses Total Mass of Constraint = (6*Kinetic Energy)/(Longitudinal Velocity of Free End^2) to evaluate the Total Mass of Constraint, Total Mass of Constraint for Longitudinal Vibration formula is defined as a measure of the effective mass of a constraint that affects the longitudinal vibration of a system, taking into account the kinetic energy and longitudinal velocity of the system. Total Mass of Constraint is denoted by m_c symbol.

How to evaluate Total Mass of Constraint for Longitudinal Vibration using this online evaluator? To use this online evaluator for Total Mass of Constraint for Longitudinal Vibration, enter Kinetic Energy (KE) & Longitudinal Velocity of Free End (V_longitudinal) and hit the calculate button.

FAQs on Total Mass of Constraint for Longitudinal Vibration

What is the formula to find Total Mass of Constraint for Longitudinal Vibration?

The formula of Total Mass of Constraint for Longitudinal Vibration is expressed as Total Mass of Constraint = (6*Kinetic Energy)/(Longitudinal Velocity of Free End^2). Here is an example- 28.125 = (6*75)/(4^2).

How to calculate Total Mass of Constraint for Longitudinal Vibration?

With Kinetic Energy (KE) & Longitudinal Velocity of Free End (V_longitudinal) we can find Total Mass of Constraint for Longitudinal Vibration using the formula - Total Mass of Constraint = (6*Kinetic Energy)/(Longitudinal Velocity of Free End^2).

Can the Total Mass of Constraint for Longitudinal Vibration be negative?

No, the Total Mass of Constraint for Longitudinal Vibration, measured in Weight cannot be negative.

Which unit is used to measure Total Mass of Constraint for Longitudinal Vibration?

Total Mass of Constraint for Longitudinal Vibration is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Total Mass of Constraint for Longitudinal Vibration can be measured.

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