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A 6 lb weight stretches a spring 2 feet. The weight hangs vertically from the spring and a damping force numerically equal to 32 times the instantaneous velocity acts on the system. The weight is released from 1 feet above the equilibrium position with a downward velocity of 5 ft/s. (a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time (in seconds) at which the mass attains its extreme displacement from the equilibrium position.

A 6 lb weight stretches a spring 2 feet. The weight hangs vertically from the spring and a damping force numerically equal to 32 times the instantaneous velocity acts on the system. The weight is released from 1 feet above the equilibrium position with a downward velocity of 5 ft/s. (a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time (in seconds) at which the mass attains its extreme displacement from the equilibrium position.

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A 6 l b weight stretches a spring 2 feet. The weight hangs vertically from the spring and a damping force numerically equal to 3 2 times the instantaneous velocity acts on the system. The weight is released from 1 feet above the equilibrium position with a downward velocity of 5 f t / s . (a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time (in seconds) at which the mass attains its extreme displacement from the equilibrium position.

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A mass weighing 4 pound is attached to a spring whose spring constant is 2 lb/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from 1 foot above the equilibrium position with a downward velocity of 14 ft/s. Determine the time at which mass passes through the equilibrium position. (Use g = 32 ft/s^2 for acceleration due to gravity.)

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