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 0.4 times the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position. (b) Express the equation of motion in the form given in (23). (c) Find the first time at which the mass passes through the equilibrium posit

When a mass of 2 kilograms is attached to a spring whose constant is 32  N / m, it comes to rest in the equilibrium position. Starting at t=0, a force equal to f(t)=68 e^-2 cos4 t is applied to the system. Find the equation of motion in the absence of damping. | Numerade

The dynamics of a spring-mass-damping system (a plate under ele... | Filo

Damping Ratio & Coefficient | Formula, Units & Examples

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