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Resonance frequency is the natural frequency at which a system vibrates with the greatest amplitude when subjected to a periodic force.
The resonance frequency of a hanging mass on a spring can be calculated using the formula f = 1/(2π√(m/k)), where f is the resonance frequency, m is the mass of the hanging object, and k is the spring constant.
Finding the resonance frequency allows us to understand the behavior of a system and determine its natural frequency. This information is crucial in designing and analyzing structures and machines that involve vibrations.
Increasing the mass or decreasing the spring constant will result in a decrease in the resonance frequency. Conversely, decreasing the mass or increasing the spring constant will result in an increase in the resonance frequency.
The resonance frequency can be measured by attaching a sensor to the hanging mass and recording the frequency at which the mass vibrates with the greatest amplitude. This can be done using various methods such as a frequency analyzer or by manually adjusting the frequency until maximum amplitude is achieved.
