The 4-kg mass is suspended by the spring of stiffness k = 350 N/m and is initially at rest in the equilibrium position. If a downward force F = Ct is applied to the body and reaches a value of 40 N when t = 1 s, derive the differential equation of motion, obtain its solution, and plot the displacement y in millimeters as a function of time during the first second. Damping is negligible.

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k 350 N/m | m = 4 kg y F = Ct