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A metre rule is clamped to the top of a bench so that most of its length overhangs and is free to vibrate in a vertical plane with simple harmonic motion. It oscillates with a frequency of \(5.0\) Hz. A small mass rests on the end of the metre rule and oscillates with it. The rule is oscillated with different amplitudes. As the amplitude is increased, it is observed that at one point in the cycle of motion of the rule and the mass, the mass loses contact with the rule. Calculate, in metres, the minimum amplitude of oscillation at which the loss of contact occurs.

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