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Answer :
Resonance in a spring-mass system is a fascinating phenomenon that occurs under specific conditions. For resonance to happen, the following must be true about the motion of the spring-mass system:
Natural Frequency: The system must have a natural frequency, which is a characteristic frequency at which it tends to oscillate when not subjected to a continuous or repeated external force.
Driving Frequency: An external periodic force must be applied to the system. The frequency of this force is called the driving frequency.
Frequency Matching: Resonance occurs when the driving frequency matches the natural frequency of the spring-mass system. This condition allows the system to absorb energy efficiently from the external force.
Amplified Motion: When the driving frequency matches the natural frequency, even a small periodic force can produce large oscillations. This results in a significantly increased amplitude of motion.
In summary, for resonance to occur, the driving frequency must align with the natural frequency of the spring-mass system, leading to larger oscillations. This condition allows the system to enter into a resonance state, which is often utilized in applications like musical instruments, bridges, and electronic circuits, but can also be avoided in structures to prevent potential damage due to excessive vibrations.
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Rewritten by : Brahmana