Use Laplace's method to solve A mass of 1 slug is attached to a spring whose...

Use Laplace's method to solve

A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 3 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity.

(a) Find the equation of motion if the mass is driven by an external force equal to f(t) = 8 cos 2t + 2 sin 2t

x(t) = ?

(b) Graph the transient and steady-state solutions on the same coordinate axes.

(c) Graph the equation of motion.

Expert Solution

c) Graph of the equation of motion in red.

Colby Messinger answered 2 years ago

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