A mass weighing 8lbs is attached to a spring suspended from a ceiling. When the mass comes to rest at equilibrium, the spring has been stretched 6 in. The mass is then pulled down 3 in. below the equilibrium point and given an upward velocity of 0.5 ft/sec. Neglecting any damping or external forces that may be present, determine the equation of motion of the mass, alone with its amplitude, period, and natural frequency. Sketch the graph of this simple harmonic motion.
A mass weighing 8lbs is attached to a spring suspended from a ceiling. When the mass comes to rest at equilibrium, the spring has been stretched 6 in. The mass is then pulled down 3 in. below the equilibrium point and given an upward velocity of 0.5 ft/sec. Neglecting any damping or external forces that may be present, determine the equation of motion of the mass, alone with its amplitude, period, and natural frequency. Sketch the graph of this simple harmonic motion.
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Transcribed Image Text:A mass weighing 8lbs is attached to a spring suspended from a
ceiling. When the mass comes to rest at equilibrium, the spring
has been stretched 6 in. The mass is then pulled down 3 in. below
the equilibrium point and given an upward velocity of 0.5 ft/sec.
Neglecting any damping or external forces that may be present,
determine the equation of motion of the mass, alone with its
amplitude, period, and natural frequency. Sketch the graph of this
simple harmonic motion.
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