(a) A mass of 100 g stretches a spring 5 cm. If the mass
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(a) A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward
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(a) A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 10 cm/s, and if there is no damping, determine the position y of the mass at any time t. When does the mass first return to its equilibrium position? (b) Draw a phase portrait of the equivalent dynamical system that includes the trajectory corresponding to the initial value problem in part (a).
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