Answer:
The force is [tex]F = 423.04 \ N[/tex]
Explanation:
From the question we are told that
The weight is [tex]W = 35 .0 \ N[/tex]
The force constant is [tex]k = 220 \ N/m[/tex]
The frequency is [tex]f = 10.5 \ Hz[/tex]
The amplitude is [tex]A = 3.00 \ cm = 0.03 \ m[/tex]
Generally the maximum driving force is mathematically represented as
[tex]F = m * w^2 A[/tex]
Here m is the mass of the weight which is mathematically represented as
[tex]m = \frac{ W }{g}[/tex]
=> [tex]m = \frac{ 35 }{9.8 }[/tex]
=> [tex]m = 3.571 \ kg[/tex]
Also [tex]w[/tex] is the angular frequency of the weight which is mathematically represented as
[tex]w = 2 \pi * f[/tex]
[tex]w = 2* 3.142 * 10[/tex]
=> [tex]w = 62.84 \ rad/s[/tex]
So
[tex]F = 3.571 * 62.84^2 * 0.03[/tex]
[tex]F = 423.04 \ N[/tex]
