2. A mass weighing 32 pounds stretches a spring 8 feet. The mass is attached to the end of the spring and the system is immersed in a medium that exerts a damping force that is numerically equal to 4 times the instantaneous velocity. The mass is released from a point 4 feet above the equilibrium with a downward velocity of 10 feet per second. (a) Find the equation of motion. (b) Find when the mass passes through the equilibrium position.
2. A mass weighing 32 pounds stretches a spring 8 feet. The mass is attached to the end of the spring and the system is immersed in a medium that exerts a damping force that is numerically equal to 4 times the instantaneous velocity. The mass is released from a point 4 feet above the equilibrium with a downward velocity of 10 feet per second. (a) Find the equation of motion. (b) Find when the mass passes through the equilibrium position.
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Transcribed Image Text:2. A mass weighing 32 pounds stretches a spring 8 feet. The mass is attached to the end of the spring and the system is
immersed in a medium that exerts a damping force that is numerically equal to 4 times the instantaneous velocity. The
mass is released from a point 4 feet above the equilibrium with a downward velocity of 10 feet per second.
(a) Find the equation of motion.
(b) Find when the mass passes through the equilibrium position.
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