A force of 2 pounds stretches a spring 1 foot. A mass weighing 3. 2 pounds is at

Question

A force of 2 pounds stretches a spring 1 foot. A mass weighing 3. 2 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 0. 8 times the instantaneous velocity. Find the equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position. Express the equation of motion in the form (x(t) =Ae-2tsinsqyareroot w^2- ^t+) which is given in (23) of Section 3. 8. (Round to two decimal places. )

Explanation / Answer

A force of 2 pounds stretches a spring 1 foot. A mass weighing 3. 2 pounds is at

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