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A 12-kg mass object is attached to a vertically
suspended spring whose unstretched length is 10 cm.
When the mass comes to rest in its equilibrium position,
the spring measures 15 cm. The viscous fluid, in which the
system is immersed, imparts a retarding force of 5 Ns/m
times the instantaneous velocity of the mass. At the
equilibrium position, the mass has an initial upward
velocity of 1 m/s. (a) Find the equation of motion of the
mass. (b) Determine its position after 10 seconds.
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