A force of 5 pounds stretches a spring 1 foot. A mass weighing 6.4 pou

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A force of 5 pounds stretches a spring 1 foot. A mass weighing 6.4 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 1.2 times the instantaneous velocity. (a) Find the equation of motion if mass is initially from the rest from a point 1 foot above the equilibrium position. (b) Express the equation of motion in the form x(t) = Ae^(-lambda*t) sin(sqrt(w^2 - lambda^2 )t + phi) (c) Find the first time at which mass passes through the equilibrium position heading upward.

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A force of 5 pounds stretches a spring 1 foot. A mass weighing 6.4 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 1.2 times the instantaneous velocity. (a) Find the equation of motion if mass is initially from the rest from a point 1 foot above the equilibrium position. (b) Express the equation of motion in the form x(t) = Ae^(-lambda*t) sin(sqrt(w^2 - lambda^2 )t + phi) (c) Find the first time at which mass passes through the equilibrium position heading upward.

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