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30 May, 20:51

A vibration platform oscillates up and down with a fixed amplitude of 8.1 cm and a controlled frequency that can be varied. If a small rock of unknown mass is placed on the platform, at what frequency will the rock just begin to leave the surface so that it starts to clatter?

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  1. 30 May, 21:48
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    The rock will begin to leave the surface when reaction force becomes zero or when the acceleration of the plate-form downwards and gravitational acceleration acting on mass m becomes equal.

    acceleration of plate - form (maximum) = ω²A, A is amplitude and ω is angular frequency.

    ω²A = g

    4π² n² = g

    n² = g / 4π²

    9.8 / 4 x 3.14²

    =.2484

    n =.5
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