A 32 lb weight stretches a spring 8 feet. The weight hangs vertically from the spring and a damping force numerically equal to 4 times the instantaneous velocity acts on the system. The weight is released from 4 feet above the equilibrium position with a downward velocity of 17 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 32 lb weight stretches a spring 8 feet. The weight hangs vertically from the spring and a damping force numerically equal to 4 times the instantaneous velocity acts on the system. The weight is released from 4 feet above the equilibrium position with a downward velocity of 17 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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Transcribed Image Text:Problem #6: A 32 lb weight stretches a spring 8 feet. The weight hangs vertically from the spring and a damping force
numerically equal to 4 times the instantaneous velocity acts on the system. The weight is released from 4 feet
above the equilibrium position with a downward velocity of 17 ft/s.
Problem #6(a):
Problem #6(b):
(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.
Round your answer to 4 decimals.
Round your answer to 4 decimals.
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