A car with effective mass m=750 kg and stiffness k=5×10 5 N/m is driving on a bumpy road. Assuming that the bumpy road in the figure below can be considered as a periodic sinusoidal wave, calculate the vertical vibration of the car. Ignore damping of the suspension system. The periodic sinusoidal wave can be expressed with the following Fourier series. y(t)= π 1 ​ + 2 1 ​ sin2πt− π 2 ​ { 1(3) cos4πt ​ + 3(5) cos8πt ​ + 5(7) cos12πt ​ +⋯}