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  3. a mass weighing 16 pounds stretches a spring 8

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

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Question

Advance Math

A mass weighing 16pounds stretches a spring

8

3

feet. The mass isinitially released from rest from a point 5 feet below theequilibrium position, and the subsequent motion takes place in amedium that offers a damping force that is numerically equal to

1

2

the instantaneousvelocity. Find the equation of motion

x(t)

if the mass is drivenby an external force equal to

f(t)= 20 cos(3t).

(Use

g = 32ft/s2

for the acceleration due to gravity.)

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