Answer:
The frequency [tex]f = 0.8048 \ Hz[/tex]
Explanation:
From the question we are told that
The mass of the object is [tex]m = 19 \ kg[/tex]
The spring constant is [tex]k = 486 \ N/ m[/tex]
Generally the maximum frequency is mathematically represented as
[tex]f = \frac{1}{2 \pi } * \sqrt{ \frac{k}{m } }[/tex]
=> [tex]f = \frac{1}{2 * 3.142 } * \sqrt{ \frac{486}{ 19 } }[/tex]
=> [tex]f = 0.8048 \ Hz[/tex]