Given the following mechanical system: 1- How many mechanical elements are in the shown in the image? 3- Write the found kinetic and potential energies stated in the previous table

in the following form 4- Apply the time derivative to the found equation and find the differential equation \frac{\partial(\mathrm{T}+\mathrm{U})}{\partial \mathrm{t}}=0 5- Convert the found differential equationso that it has a unified single parameter usingX =re 6- Apply the Laplace transform to the found differential equation, find the Laplace functionf(s) knowing that x(0) = 0 & x(0) = 0 7- Apply the inverse Laplace transform to the f(s) equation, this is to find the final solutionx(t)