An undamped vertical spring has a constant k = 25 N / m. The upper end is fixed, and an object of mass 44 kg is attached to the other. The object is released from rest 1 meter below the equilibrium point. After 33 seconds, the object is struck from below by a brick that imparts 8 units of linear momentum to it. Considering the positive downward direction and that x (t) is the stretch of the spring, in meters, t seconds after starting the movement, then an equation with conditions that models this situation is
An undamped vertical spring has a constant k = 25 N / m. The upper end is fixed, and an object of mass 44 kg is attached to the other. The object is released from rest 1 meter below the equilibrium point. After 33 seconds, the object is struck from below by a brick that imparts 8 units of linear momentum to it. Considering the positive downward direction and that x (t) is the stretch of the spring, in meters, t seconds after starting the movement, then an equation with conditions that models this situation is
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An undamped vertical spring has a constant k = 25 N / m. The upper end is fixed, and an object of mass 44 kg is attached to the other. The object is released from rest 1 meter below the equilibrium point. After 33 seconds, the object is struck from below by a brick that imparts 8 units of linear momentum to it. Considering the positive downward direction and that x (t) is the stretch of the spring, in meters, t seconds after starting the movement, then an equation with conditions that models this situation is
Transcribed Image Text:a) 44x" + 25x = -8U(t – 33) con x(0) = –1y x' (0) = 0
b) 44x" + 25x = 8U(t – 33) con ¤(0) = 1 y x' (0) = 0
c) 44x" + 25x = -338(t – 8) con x(0) = -1y x' (0) = 0
d) 44x" + 25x = -86(t – 33) con ¤(0) = 1 y a' (0) = 0
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