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A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equal to √2 times the instantaneous velocity. Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 3 ft/s. (Use g = 32 ft/s² for the acceleration due to gravity.) x(t)= Find the time at which the mass attains its extreme displacement from the equilibrium position. t= x x What is the position of the mass at this instant? The extreme displacement is x 0.39 X feet.

A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equal to √2 times the instantaneous velocity. Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 3 ft/s. (Use g = 32 ft/s² for the acceleration due to gravity.) x(t)= Find the time at which the mass attains its extreme displacement from the equilibrium position. t= x x What is the position of the mass at this instant? The extreme displacement is x 0.39 X feet.

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A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equal to √2 times the instantaneous velocity. Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 3 ft/s. (Use g = 32 ft/s² for the acceleration due to gravity.) x(t) = Find the time at which the mass attains its extreme displacement from the equilibrium position. t= X x What is the position of the mass at this instant? The extreme displacement is x = 0.39 X feet.
Transcribed Image Text:A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equal to √2 times the instantaneous velocity. Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 3 ft/s. (Use g = 32 ft/s² for the acceleration due to gravity.) x(t) = Find the time at which the mass attains its extreme displacement from the equilibrium position. t= X x What is the position of the mass at this instant? The extreme displacement is x = 0.39 X feet.
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