Virtual Labs

Free - Vibration of SDOF Mass-Spring System

What does SDOF stand for?

a: Single Damp Oscillation Factor Explanation

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b: Simple Dynamic Oscillation Function Explanation

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c: Single Degree of Freedom Explanation

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d: Standard Degree of Flexibility Explanation

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In a mass-spring system, the natural frequency is given by:

a: √(k/m) Explanation

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b: √(m/k) Explanation

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c: k×m Explanation

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d: m/k Explanation

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The damping ratio ζ is defined as:

a: c / (km) Explanation

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b: c / (2√(km)) Explanation

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c: k / (2√(cm)) Explanation

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d: m / (2√(kc)) Explanation

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What is the unit of the damping coefficient c?

a: N Explanation

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b: m/s Explanation

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c: Ns/m Explanation

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d: kg/s Explanation

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In an underdamped system, the motion is characterized by:

a: No oscillation and fast return to equilibrium Explanation

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b: Oscillation with increasing amplitude Explanation

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c: Oscillation with decreasing amplitude Explanation

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d: Constant amplitude oscillation Explanation

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Which of the following is not an assumption in a basic SDOF mass-spring system?

a: Mass is lumped Explanation

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b: Spring is linear and obeys Hooke's law Explanation

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c: Damping force is proportional to acceleration Explanation

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d: Only one degree of motion is considered Explanation

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What happens when damping ratio ζ=1?

a: System becomes overdamped Explanation

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b: System becomes underdamped Explanation

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c: System is critically damped Explanation

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d: No damping is present Explanation

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For a damped system, what is the form of amplitude decay over time?

a: Linear Explanation

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b: Constant Explanation

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c: Exponential Explanation

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d: Sinusoidal Explanation

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The energy of a damped vibrating system over time:

a: Increases Explanation

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b: Remains constant Explanation

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c: Decays exponentially Explanation

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d: Oscillates with constant magnitude Explanation

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