A block is sitting on a small platform supported by a spring and is undergoing simple harmonic oscillation with a frequency of 4.5 Hz. What is the maximum amplitude at which the block will stay on the platform

Respuesta :

For a block undergoing simple harmonic oscillation, the maximum amplitude is mathematically given as

a=0.0749m

What is the maximum amplitude at which the block will stay on the platform?

Generally, the equation for the maximum acceleration is mathematically given as

Ma=A*w^2

Where

A = 0.075 m

Therefore

0.075 * w^2 = 9.8

w = 11.43 rad/s

In conclusion, maximum frequency

mF=w/2pi

mF=11.43/2pi

mF= 1.82 Hz

Where

g=2\pif)^2a

a=(9.8)/4*\pi^2(1.82)^2

a=0.0749m

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