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When there is a reduction in amplitude over every cycle of vibration, then the body is said to have
- a)free vibration
- b)forced vibration
- c)damped vibration
- d)none of the mentioned
Correct answer is option 'C'. Can you explain this answer?
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When there is a reduction in amplitude over every cycle of vibration,...
When no external force acts on the body, after giving it an initial displacement, then the body is said to be under free or natural vibrations. The frequency of the free vibrations is called free or natural frequency. When there is a reduction in amplitude over every cycle of vibration, the motion is said to be damped vibration.
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When there is a reduction in amplitude over every cycle of vibration,...
Understanding Damped Vibration
Damped vibrations occur when the amplitude of oscillation decreases over time due to energy loss in the system. This energy loss can come from various factors such as friction, air resistance, or material internal damping.
Key Characteristics of Damped Vibration:
Comparison with Other Types of Vibration:
In summary, when a system exhibits a reduction in amplitude over each cycle of vibration, it is classified as damped vibration, making option 'C' the correct answer.
Damped vibrations occur when the amplitude of oscillation decreases over time due to energy loss in the system. This energy loss can come from various factors such as friction, air resistance, or material internal damping.
Key Characteristics of Damped Vibration:
- Reduction in Amplitude: In damped vibration, the peak amplitude of each successive cycle is lower than the previous one, indicating that the system is losing energy.
- Types of Damping: Damping can be classified into three categories:
- Under-damped: Oscillation occurs with gradually decreasing amplitude.
- Critically damped: The system returns to equilibrium without oscillating.
- Over-damped: The system returns to equilibrium slower than in critical damping without oscillating.
- Energy Dissipation: The energy dissipated per cycle results in a gradual decrease in motion, unlike free or forced vibrations, where amplitude remains constant or is sustained by an external force.
Comparison with Other Types of Vibration:
- Free Vibration: Occurs without external force; amplitude remains constant unless damped.
- Forced Vibration: Maintained by an external force; amplitude can be constant or increase, depending on the driving frequency.
In summary, when a system exhibits a reduction in amplitude over each cycle of vibration, it is classified as damped vibration, making option 'C' the correct answer.
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When there is a reduction in amplitude over every cycle of vibration, then the body is said to havea)free vibrationb)forced vibrationc)damped vibrationd)none of the mentionedCorrect answer is option 'C'. Can you explain this answer?
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