Question

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.

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