A force of
(a) Find the spring constant
(b) A mass of
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EBK DIFFERENTIAL EQUATIONS AND LINEAR A
- A mass weighing 4 pounds is attached to a spring whose constant is 2 Ib/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 16 ft/s. Determine the time (in s) at which the mass passes through the equilibrium position. (Useg = 32 ft/s? for the acceleration due to gravity.) Find the time (in s) after the mass passes through the equilibrium position at which the mass attains its extreme displacement from the equilibrium position. What is the position (in ft) of the mass at this instant? ftarrow_forwardA mass weighing 16 pounds stretches a spring 8 feet. The mass is initially released from rest from a point 4 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a 1 damping force that is numerically equal to - the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s2 for the acceleration 2 due to gravity.) x(t) = ftarrow_forwardAfter a mass weighing 8 pounds is attached to a 5-foot spring, the springmeasures 6.6 feet. The entire system is placed in a medium that offersa damping constant of one.Find the equation of motion if the mass is initially released from a point 6inches above the equilibrium position with a downward velocity of1 ft/secarrow_forward
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