Amass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point
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Amass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point 1 foot below the equilibrium position with an upward velocity of 4 ft/s.
(a) Find the equation of motion.
(b) What are the amplitude, period, and frequency of the simple harmonic motion?
(c) At what times does the mass return to the point 1 foot below the equilibrium position?
(d) At what times does the mass pass through the equilibrium position moving upward? Moving downward?
(e) What is the velocity of the mass at t = 3π/16 s?
(f ) At what times is the velocity zero?
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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