Suppose a water tower in an earthquake acts as a mass-springsystem. Assume that the container on top is full and the water doesnot move around. The container then acts as a mass and the supportas a spring, where the induced vibrations are horizontal. Supposethat the container with water has a mass of m = 10, 000 kg. Ittakes a force of 1000 Newtons to displace the container 1 m. Forsimplicity assume no friction. When the earthquake hits, the watertower is at rest (not moving). Suppose the earthquake induces anexternal force F(t) = A cos(?t)
Find the solution to the Initial Value Problem
