Question

In: Physics

A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released...

A mass weighing 16 pounds stretches a spring

8
3

feet. The mass is initially released from rest from a point 7 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to

1
2

the instantaneous velocity. Find the equation of motion

x(t)

if the mass is driven by an external force equal to

f(t) = 25 cos(3t).

(Use

g = 32 ft/s2

for the acceleration due to gravity.)

Solutions

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