Question

A platform oscillates in the vertical direction with SHM. Its amplitude of oscillation is 0.20 m. What is the maximum frequency (Hz) of oscillation for a mass placed on the platform to remain in contact with the platform?

Answer 1

Answer:

1.115 Hz

Explanation:

We have given amplitude of the oscillation a=0.20 m

Acceleration due to gravity $g=9.8m/sec^2$

The maximum frequency of the oscillation is given by $f_{max}=\frac{1}{2\pi }\sqrt{\frac{g}{a}}=\frac{1}{2\times 3.14}\sqrt{\frac{9.81}{0.2}}=1.115 Hz$

So the maximum frequency of the oscillation is 1.115 Hz

Answer 2

Answer:

Maximum frequency =$f_{max}= 1.115$ $Hz$

Explanation:

Given amplitude=A=0.20 m

Gravitational acceleration=9.81 $m/s^{2}$

Using equation of maximum frequency we have

$f_{max}=(1/2\pi)*\sqrt{g/A}$

substitute values,

$f_{max}=(1/2*3.14)*(\sqrt{9.82/0.20}$

Maximum frequency=$f_{max}=1.115$ $Hz$