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

Question

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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Phúc Điền 5 months 2021-09-04T08:21:35+00:00 1 Answers 19 views 0

Answers ( )

  1. Answer:

    Explanation:

    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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