Physics, asked by micah18, 5 months ago


A man stands on a platform
which vibrates simple 'harmonically
in a vertical direction at a frequency of
5 Hz Show that the mass loses
contact with the platform when
the displacement is 10^-2m
x - a sin (wt +phi)​

Answers

Answered by vaibhavsagar
2

Answer:

hope it helpful for u

Explanation:

The maximum acceleration of mass m is −ω2×a

where a is the amplitude of SHM and ω=2πν is the angular frequency.

So, the maximum amplitude of the platform so that the block is not detached is given as −ω2×a=−g⇒a=g/4π2ν2

Answered by Tulsi4890
0

The platform is vibrating in a simple harmonic motion in the vertical direction with a frequency of 5 Hz.

  • The displacement of the platform at any given time can be represented by the equation x = a sin (wt + phi), where a is the amplitude of the vibration (in this case, 10^-2m), w is the angular frequency (2pif, where f is the frequency in Hz), t is time, and phi is the phase constant.
  • When the displacement of the platform reaches 10^-2m, the mass will lose contact with the platform. This is because the amplitude of the vibration is equal to the maximum displacement, and when the platform reaches this point, the mass will no longer be in contact with the surface.
  • The displacement of the platform can be represented by the sine function, which oscillates between -1 and 1. In this case, the amplitude of the sine function is 10^-2m, and it will reach a maximum displacement of 10^-2m and a minimum displacement of -10^-2m.
  • The frequency is the number of oscillations (or cycles) that occur per second. A frequency of 5 Hz means that the platform oscillates 5 times per second.
  • The angular frequency (2pif) is used in the displacement equation because it is a measure of the rate of change of the angle of the oscillation. It is related to the frequency by the equation 2pif = w, where f is in Hz and w is in radians per second.

In summary, the platform is vibrating at a frequency of 5 Hz and an amplitude of 10^-2m, and this results in a displacement represented by x = a sin (wt + phi) , where the mass will lose contact with the platform when the displacement reaches the amplitude.

To learn more about mass from the given link.

https://brainly.in/question/1158940

#SPJ3

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