Answer :
Final answer:
The question asks about the effective frequency range for a vibration absorber attached to a machine but lacks sufficient data for the precise calculation. Examples provided touch on resonance but are unrelated to the specific absorber scenario.
Explanation:
The question concerns a machine tool with a resonance of 120 Hz and a vibration absorber tuned to 120 Hz.
To calculate the range of frequencies over which the absorber would be effective, we would typically use the theory of damped harmonic oscillators and vibration absorber design, possibly involving the mass ratio between the absorber (the mass added) and the system it's attached to (the machine), and the natural frequency of the system.
The question seems to be missing some specifics that would enable the calculation, such as the desired damping level or the system's damping ratio.
Instead of this calculation, the question seems to be associated with a series of unrelated physics problems, dealing primarily with resonance.
These examples involve an open-pipe resonator, a tube with a movable piston, the speed of sound effects on resonance, a string oscillation producing beat frequencies, and resonance in a closed tube. However, none of these directly help in calculating the effective frequency range for the given situation with the vibration absorber.
