Explanation:
The displacement pf the bob is modeled by the following equation as :
[tex]y=0.2\ cos20\pi t+0.8[/tex]..............(1)
The general equation of simple harmonic motion is given by :
[tex]y=A\ cos\ \omega t+\phi[/tex]...........(2)
On comparing equation (1) and (2) we get :
(a) [tex]\omega=20\pi[/tex]
[tex]\omega=20\pi[/tex]
[tex]2\pi f=20\pi[/tex]
f is the frequency of the motion of the cork.
[tex]f=10\ Hz[/tex]
(b) In the equation (1), the displacement of the cork is 0.2. So, the maximum displacement of the cork above the lake bottom is 0.2 + 8 = 8.2 meters
Hence, this is the required solution.
