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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

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Problem 5. A spring with a mass of 2 kg has natural length 0.5 m and is immersed in a fluid with damping constant c = 40. A force of 25.6 N is required to maintain it stretched to a length of 0.7 m. Then the system is given a push to vibrate with an initial velocity of 0.6 m/s and impulses of at times 1 s, 3 s, and 9 s. Find the position of the mass at any time t. With the help of computing technology, plot the solution.

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