Suppose a water tower in an earthquake acts as a mass-spring system. Assume that the container...

Suppose a water tower in an earthquake acts as a mass-spring system. Assume that the container on top is full and the water does not move around. The container then acts as a mass and the support as a spring, where the induced vibrations are horizontal. Suppose that the container with water has a mass of m = 10, 000 kg. It takes a force of 1000 Newtons to displace the container 1 m. For simplicity assume no friction. When the earthquake hits, the water tower is at rest (not moving). Suppose the earthquake induces an external force F(t) = A cos(ωt)

Find the solution to the Initial Value Problem

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Colby Messinger answered 8 months ago

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