Question: A heavy machine weighing (9810 mathrm{~N}) is being lowered vertically down by a winch at a uniform velocity of (2 mathrm{~m} / mathrm{s}). The steel

A heavy machine weighing \(9810 \mathrm{~N}\) is being lowered vertically down by a winch at a uniform velocity of \(2 \mathrm{~m} / \mathrm{s}\). The steel cable supporting the machine has a diameter of \(0.01 \mathrm{~m}\). The winch is suddenly stopped when the steel cable's length is \(20 \mathrm{~m}\). Find the period and amplitude of the ensuing vibration of the machine.

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