A mass of 2 kg is attached to a spring. A force of 150 N is required to hold the spring stretched by 60 cm. The mass is in a medium that exerts a viscous resistance of 16 N when the mass has a velocity of 4 m/sec. Suppose the object is displaced (stretched) by 20 cm from equilibrium and released with no initial velocity. Find an equation for the object's position, u(t), in meters after t seconds.

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A mass of 2 kg is attached to a spring. A
force of 150 N is required to hold the
spring stretched by 60 cm. The mass is
in a medium that exerts a viscous
resistance of 16 N when the mass has a
velocity of 4 m/sec.
Suppose the object is displaced
(stretched) by 20 cm from equilibrium
and released with no initial velocity.
Find an equation for the object's
position, u(t), in meters after t seconds.
Transcribed Image Text:A mass of 2 kg is attached to a spring. A force of 150 N is required to hold the spring stretched by 60 cm. The mass is in a medium that exerts a viscous resistance of 16 N when the mass has a velocity of 4 m/sec. Suppose the object is displaced (stretched) by 20 cm from equilibrium and released with no initial velocity. Find an equation for the object's position, u(t), in meters after t seconds.
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