I need help with Question 2 from the below. Not sure if question 1 is needed to answer that question.

In this tragic incident, however, we believe there were two serious mechanical issues with the starboard wing: (1) the hydraulic damping mechanism failed, thereby losing its damping force entirely, and (2) an external periodic force came from the vibration of a malfunctioning propeller. This force triggered the wing to flutter in a manner that was co-periodic with it, causing the amplitude of flutter to increase rapidly to the point of catastrophic mechanical failure. It appears from our analysis that this external force was sinusoidal in nature with an amplitude of 1800 Newtons. Unfortunately, we were unable to obtain the precise frequency of this external force, however, we were able to ascertain that it was somewhere between 2 Hz and 1 Hz. The wing of this aircraft has a mass of 900 kg, and the wing-body joint has a spring constant of 3600 Newtons/meter. The motion of a wing's center-of-mass is a curved arc; however, since we are working with a relatively long wing span, you can assume that the center-of-mass moved up and down in a straight line. We also concluded from our analysis that just before the propeller began to malfunction, the wing was at rest. Your tasks are as follows: 1. For each frequency of 2 Hz, 54 Hz, and 1 Hz, construct and plot a corresponding model for displacement of the wing's center-of-mass with respect to time . 2. The wing was designed to withstand up to 2 meters of displacement from equilibrium. Use rigorous mathematical justification to determine which (if any) frequency led to catastrophic mechanical failure.