a mass stands on a platform which vibrates simple harmonically in a vertical Direction and with a frequency of 5 Hertz. show that the mass loses contact with the platform when the displacement exceeds 10^-2.

Question

Zoie Campos

Physics

15 November, 04:40

a mass stands on a platform which vibrates simple harmonically in a vertical Direction and with a frequency of 5 Hertz. show that the mass loses contact with the platform when the displacement exceeds 10^-2.

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Rhys Camacho · Answer 1

shm

displacement is A*sin 2pi f t

vel = (A*2*pi*f*) * cos 2 pi f t

accn = - (A*2*pi*f*) ^2*sin 2 pi f t

accn = (0.01*2*3*5)

accn = (0.01x30) ^2=9