A vertical spring with a fixed upper end and constant 1.6 N/m has a 400 g object suspended at its lower end. An external force acts numerically on the weight, in newtons equal to F (t) = 2 sin (2t),...

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Extracted text: A vertical spring with a fixed upper end and constant 1.6 N/m has a 400 g object suspended at its lower end. An external force acts numerically on the weight, in newtons equal to F (t) = 2 sin (2t), with a positive downward direction. Initially the weight is 15 cm below the equilibrium position and is thrown with an initial upward velocity of 1.2 m / s. If the damping force is negligible: (a) Write the differential equation associated with the problem and its initial conditions. mx"+Kx = 2sın (2+) X(0) = 0,15m X(0) = 1,2 mb E Solve using %3D %3D (b) Determine the position of the object at any time t. Annihılatov By solving the df. equation! method (c) Indicate whether this system enters mechanical resonance. Justify. Ls Compare Peviods