A mass weighing 4 pounds stretches a spring 6 inches. The mass is initially released from a point 2 inches below the equilibrium position with an upward velocity of 8 ft/s. Assume the spring/mass...

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Extracted text: A mass weighing 4 pounds stretches a spring 6 inches. The mass is initially released from a point 2 inches below the equilibrium position with an upward velocity of 8 ft/s. Assume the spring/mass system has free undamped motion. 1. а. Find the spring constant k. b. Find xo in the initial condition x(0) = x.. Find in the initial condition x'(0) = x1. с. X1 d. The differential equation in normal form for the equation of motion has the d²x form "+ w²x = 0. Find the value of w². dt2