A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft. The

Question

A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 6 ft/s. Determine the time at which the mass passes through the equilibrium position. (Use g = 32 ft/s2 for the acceleration due to gravity.)

Find the time after the mass passes through the equilibrium position at which the mass attains its extreme displacement from the equilibrium position.

What is the position of the mass at this instant?

Explanation / Answer

W = mg
4 = m*32 => m = 1/8 slug

The differential equation : (balance the force)

m* (d

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