A mass weighing 8 pounds is attached to a spring whose constant is 4 lb/ft. The medium offers a damping force that is numerically equal to the two times instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. (b) Solve the equation to find the position of the mass at any time t. (c) Determine the time at which the mass passes through the equilibrium position.
A mass weighing 8 pounds is attached to a spring whose constant is 4 lb/ft. The medium offers a damping force that is numerically equal to the two times instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. (b) Solve the equation to find the position of the mass at any time t. (c) Determine the time at which the mass passes through the equilibrium position.
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A mass weighing 8 pounds is attached to a spring whose constant is 4 lb/ft. The medium offers a
damping force that is numerically equal to the two times instantaneous velocity. The mass is initially
released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s.
(b) Solve the equation to find the position of the mass at any time t.
(c) Determine the time at which the mass passes through the equilibrium position.
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