A 6-foot spring measures 7 feet long after a mass weighing 4 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equivalent to 2 times the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from the equilibrium position with an upward velocity of 4 ft/s. (Use the convention that displacements measured below the equilibrium position are positive). y = ((2-sqrt(2))/2)e4(sqrt(2)-2)x-(2-sqrt(2)/2)e-4(2+sqrt(2))x (b) What type of motion does the solution of the initial value problem describe? (free undamped (simple harmonic) motion, fre
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A 6-foot spring measures 7 feet long after a mass weighing 4 pounds is attached to it. The medium through which the
mass moves offers a damping force numerically equivalent to 2 times the instantaneous velocity.
(a) Find the equation of motion if the mass is initially released from the equilibrium position with an upward
velocity of 4 ft/s. (Use the convention that displacements measured below the equilibrium position are positive).
y = ((2-sqrt(2))/2)e4(sqrt(2)-2)x-(2-sqrt(2)/2)e-4(2+sqrt(2))x
(b) What type of motion does the solution of the initial value problem describe? (free undamped (simple harmonic)
motion, free overdamped motion, free critically damped motion, or free underdamped (oscillatory) motion)
Free overdamped
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